sbuild (Debian sbuild) 0.85.10 (30 May 2024) on carme.larted.org.uk

+==============================================================================+
| libmath-prime-util-perl 0.73-2+b5 (amd64)    Sat, 14 Sep 2024 15:00:47 +0000 |
+==============================================================================+

Package: libmath-prime-util-perl
Version: 0.73-2+b5
Source Version: 0.73-2
Distribution: perl-5.40
Machine Architecture: amd64
Host Architecture: amd64
Build Architecture: amd64
Build Type: any

I: NOTICE: Log filtering will replace 'var/run/schroot/mount/perl-5.40-amd64-debomatic-41ac31fc-5358-4c82-b1f8-973cdab2b44c' with '<<CHROOT>>'

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| Chroot Setup Commands                                                        |
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/usr/share/debomatic/sbuildcommands/chroot-setup-commands/dpkg-speedup libmath-prime-util-perl_0.73-2 perl-5.40 amd64
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I: Finished running '/usr/share/debomatic/sbuildcommands/chroot-setup-commands/dpkg-speedup libmath-prime-util-perl_0.73-2 perl-5.40 amd64'.

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I: NOTICE: Log filtering will replace 'build/libmath-prime-util-perl-75m45Y/resolver-cYUNbL' with '<<RESOLVERDIR>>'

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| Update chroot                                                                |
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Get:1 file:/srv/reprepro perl-5.40 InRelease [3042 B]
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Get:4 http://localhost:3142/debian sid/main Sources.diff/Index [63.6 kB]
Get:5 http://localhost:3142/debian sid/main Sources T-2024-09-14-1406.17-F-2024-09-14-1406.17.pdiff [21.8 kB]
Get:6 http://deb.debian.org/debian unstable/main amd64 Packages.diff/Index [63.6 kB]
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Get:7 http://deb.debian.org/debian unstable/main amd64 Packages T-2024-09-14-1406.17-F-2024-09-14-1406.17.pdiff [12.0 kB]
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0 upgraded, 0 newly installed, 0 to remove and 0 not upgraded.

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Local sources
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/srv/debomatic/incoming/libmath-prime-util-perl_0.73-2.dsc exists in /srv/debomatic/incoming; copying to chroot
I: NOTICE: Log filtering will replace 'build/libmath-prime-util-perl-75m45Y/libmath-prime-util-perl-0.73' with '<<PKGBUILDDIR>>'
I: NOTICE: Log filtering will replace 'build/libmath-prime-util-perl-75m45Y' with '<<BUILDDIR>>'

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| Install package build dependencies                                           |
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Setup apt archive
-----------------

Merged Build-Depends: debhelper-compat (= 13), help2man, libdevel-checklib-perl, libmath-prime-util-gmp-perl, libtest-warn-perl, perl-xs-dev, perl, build-essential, fakeroot
Filtered Build-Depends: debhelper-compat (= 13), help2man, libdevel-checklib-perl, libmath-prime-util-gmp-perl, libtest-warn-perl, perl-xs-dev, perl, build-essential, fakeroot
dpkg-deb: building package 'sbuild-build-depends-main-dummy' in '/<<RESOLVERDIR>>/apt_archive/sbuild-build-depends-main-dummy.deb'.
Ign:1 copy:/<<RESOLVERDIR>>/apt_archive ./ InRelease
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Install main build dependencies (apt-based resolver)
----------------------------------------------------

Installing build dependencies
Reading package lists...
Building dependency tree...
Reading state information...
The following additional packages will be installed:
  autoconf automake autopoint autotools-dev bsdextrautils debhelper
  dh-autoreconf dh-strip-nondeterminism dwz fakeroot file gettext gettext-base
  groff-base help2man intltool-debian libarchive-zip-perl libdebhelper-perl
  libdevel-checklib-perl libelf1t64 libfakeroot
  libfile-stripnondeterminism-perl libicu72 liblocale-gettext-perl
  libmagic-mgc libmagic1t64 libmath-prime-util-gmp-perl libperl-dev
  libpipeline1 libsub-uplevel-perl libtest-warn-perl libtool libuchardet0
  libxml2 m4 man-db po-debconf sensible-utils
Suggested packages:
  autoconf-archive gnu-standards autoconf-doc dh-make gettext-doc
  libasprintf-dev libgettextpo-dev groff libtool-doc gfortran
  | fortran95-compiler gcj-jdk m4-doc apparmor less www-browser
  libmail-box-perl
Recommended packages:
  curl | wget | lynx libarchive-cpio-perl libmath-prime-util-perl libltdl-dev
  libmail-sendmail-perl
The following NEW packages will be installed:
  autoconf automake autopoint autotools-dev bsdextrautils debhelper
  dh-autoreconf dh-strip-nondeterminism dwz fakeroot file gettext gettext-base
  groff-base help2man intltool-debian libarchive-zip-perl libdebhelper-perl
  libdevel-checklib-perl libelf1t64 libfakeroot
  libfile-stripnondeterminism-perl libicu72 liblocale-gettext-perl
  libmagic-mgc libmagic1t64 libmath-prime-util-gmp-perl libperl-dev
  libpipeline1 libsub-uplevel-perl libtest-warn-perl libtool libuchardet0
  libxml2 m4 man-db po-debconf sbuild-build-depends-main-dummy sensible-utils
0 upgraded, 39 newly installed, 0 to remove and 0 not upgraded.
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Get:3 http://deb.debian.org/debian unstable/main amd64 sensible-utils all 0.0.24 [24.8 kB]
Get:4 file:/srv/reprepro perl-5.40/main amd64 libmath-prime-util-gmp-perl amd64 0.52-2+b4 [265 kB]
Get:5 http://deb.debian.org/debian unstable/main amd64 libmagic-mgc amd64 1:5.45-3 [314 kB]
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Get:10 file:/srv/reprepro perl-5.40/main amd64 libperl-dev amd64 5.40.0-5 [1112 kB]
Get:11 http://deb.debian.org/debian unstable/main amd64 groff-base amd64 1.23.0-5 [1181 kB]
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Get:19 http://deb.debian.org/debian unstable/main amd64 autopoint all 0.22.5-2 [723 kB]
Get:20 http://deb.debian.org/debian unstable/main amd64 libdebhelper-perl all 13.20 [89.7 kB]
Get:21 http://deb.debian.org/debian unstable/main amd64 libtool all 2.4.7-7 [517 kB]
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Get:23 http://deb.debian.org/debian unstable/main amd64 libarchive-zip-perl all 1.68-1 [104 kB]
Get:24 http://deb.debian.org/debian unstable/main amd64 libfile-stripnondeterminism-perl all 1.14.0-1 [19.5 kB]
Get:25 http://deb.debian.org/debian unstable/main amd64 dh-strip-nondeterminism all 1.14.0-1 [8448 B]
Get:26 http://deb.debian.org/debian unstable/main amd64 libelf1t64 amd64 0.191-2 [188 kB]
Get:27 http://deb.debian.org/debian unstable/main amd64 dwz amd64 0.15-1+b1 [110 kB]
Get:28 http://deb.debian.org/debian unstable/main amd64 libicu72 amd64 72.1-5 [9396 kB]
Get:29 http://deb.debian.org/debian unstable/main amd64 libxml2 amd64 2.12.7+dfsg-3+b1 [671 kB]
Get:30 http://deb.debian.org/debian unstable/main amd64 gettext amd64 0.22.5-2 [1601 kB]
Get:31 http://deb.debian.org/debian unstable/main amd64 intltool-debian all 0.35.0+20060710.6 [22.9 kB]
Get:32 http://deb.debian.org/debian unstable/main amd64 po-debconf all 1.0.21+nmu1 [248 kB]
Get:33 http://deb.debian.org/debian unstable/main amd64 debhelper all 13.20 [915 kB]
Get:34 http://deb.debian.org/debian unstable/main amd64 libfakeroot amd64 1.36-1 [29.1 kB]
Get:35 http://deb.debian.org/debian unstable/main amd64 fakeroot amd64 1.36-1 [75.1 kB]
Get:36 http://deb.debian.org/debian unstable/main amd64 help2man amd64 1.49.3 [198 kB]
Get:37 http://deb.debian.org/debian unstable/main amd64 libdevel-checklib-perl all 1.16-1 [18.5 kB]
Get:38 http://deb.debian.org/debian unstable/main amd64 libsub-uplevel-perl all 0.2800-3 [14.0 kB]
Get:39 http://deb.debian.org/debian unstable/main amd64 libtest-warn-perl all 0.37-2 [14.5 kB]
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| Check architectures                                                          |
+------------------------------------------------------------------------------+

Arch check ok (amd64 included in any)

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| Build environment                                                            |
+------------------------------------------------------------------------------+

Kernel: Linux 6.9.7-amd64 #1 SMP PREEMPT_DYNAMIC Debian 6.9.7-1 (2024-06-27) amd64 (x86_64)
Toolchain package versions: binutils_2.43.1-4 dpkg-dev_1.22.11 g++-13_13.3.0-6 g++-14_14.2.0-4 gcc-13_13.3.0-6 gcc-14_14.2.0-4 libc6-dev_2.40-2 libstdc++-13-dev_13.3.0-6 libstdc++-14-dev_14.2.0-4 libstdc++6_14.2.0-4 linux-libc-dev_6.10.9-1
Package versions: adduser_3.137 apt_2.9.8 autoconf_2.72-3 automake_1:1.16.5-1.3 autopoint_0.22.5-2 autotools-dev_20220109.1 base-files_13.5 base-passwd_3.6.4 bash_5.2.32-1+b1 binutils_2.43.1-4 binutils-common_2.43.1-4 binutils-x86-64-linux-gnu_2.43.1-4 bsdextrautils_2.40.2-8 bsdutils_1:2.40.2-8 build-essential_12.10 bzip2_1.0.8-6 coreutils_9.4-3.1 cpp_4:14.1.0-2 cpp-13_13.3.0-6 cpp-13-x86-64-linux-gnu_13.3.0-6 cpp-14_14.2.0-4 cpp-14-x86-64-linux-gnu_14.2.0-4 cpp-x86-64-linux-gnu_4:14.1.0-2 dash_0.5.12-9 debconf_1.5.87 debhelper_13.20 debian-archive-keyring_2023.4 debianutils_5.20 dh-autoreconf_20 dh-strip-nondeterminism_1.14.0-1 diffutils_1:3.10-1 dirmngr_2.2.43-8+b1 dpkg_1.22.11 dpkg-dev_1.22.11 dwz_0.15-1+b1 eatmydata_131-2 fakeroot_1.36-1 file_1:5.45-3 findutils_4.10.0-3 g++_4:14.1.0-2 g++-13_13.3.0-6 g++-13-x86-64-linux-gnu_13.3.0-6 g++-14_14.2.0-4 g++-14-x86-64-linux-gnu_14.2.0-4 g++-x86-64-linux-gnu_4:14.1.0-2 gcc_4:14.1.0-2 gcc-13_13.3.0-6 gcc-13-base_13.3.0-6 gcc-13-x86-64-linux-gnu_13.3.0-6 gcc-14_14.2.0-4 gcc-14-base_14.2.0-4 gcc-14-x86-64-linux-gnu_14.2.0-4 gcc-x86-64-linux-gnu_4:14.1.0-2 gettext_0.22.5-2 gettext-base_0.22.5-2 gnupg_2.2.43-8 gnupg-l10n_2.2.43-8 gnupg-utils_2.2.43-8+b1 gpg_2.2.43-8+b1 gpg-agent_2.2.43-8+b1 gpg-wks-client_2.2.43-8+b1 gpgconf_2.2.43-8+b1 gpgsm_2.2.43-8+b1 gpgv_2.2.43-8+b1 grep_3.11-4 groff-base_1.23.0-5 gzip_1.12-1.1 help2man_1.49.3 hostname_3.23+nmu2 init-system-helpers_1.66 intltool-debian_0.35.0+20060710.6 libacl1_2.3.2-2 libapt-pkg6.0t64_2.9.8 libarchive-zip-perl_1.68-1 libasan8_14.2.0-4 libassuan0_2.5.6-1+b1 libassuan9_3.0.1-2 libatomic1_14.2.0-4 libattr1_1:2.5.2-1 libaudit-common_1:4.0.1-1 libaudit1_1:4.0.1-1 libbinutils_2.43.1-4 libblkid1_2.40.2-8 libbsd0_0.12.2-1 libbz2-1.0_1.0.8-6 libc-bin_2.40-2 libc-dev-bin_2.40-2 libc-l10n_2.40-2 libc6_2.40-2 libc6-dev_2.40-2 libcap-ng0_0.8.5-2 libcap2_1:2.66-5 libcc1-0_14.2.0-4 libcrypt-dev_1:4.4.36-5 libcrypt1_1:4.4.36-5 libctf-nobfd0_2.43.1-4 libctf0_2.43.1-4 libdb5.3t64_5.3.28+dfsg2-7 libdebconfclient0_0.272 libdebhelper-perl_13.20 libdevel-checklib-perl_1.16-1 libdpkg-perl_1.22.11 libeatmydata1_131-2 libelf1t64_0.191-2 libfakeroot_1.36-1 libffi8_3.4.6-1 libfile-stripnondeterminism-perl_1.14.0-1 libgcc-13-dev_13.3.0-6 libgcc-14-dev_14.2.0-4 libgcc-s1_14.2.0-4 libgcrypt20_1.11.0-6 libgdbm-compat4t64_1.24-2 libgdbm6t64_1.24-2 libgmp10_2:6.3.0+dfsg-2+b1 libgnutls30t64_3.8.6-2 libgomp1_14.2.0-4 libgpg-error0_1.50-3 libgprofng0_2.43.1-4 libhogweed6t64_3.10-1 libhwasan0_14.2.0-4 libicu72_72.1-5 libidn2-0_2.3.7-2 libisl23_0.27-1 libitm1_14.2.0-4 libjansson4_2.14-2+b2 libksba8_1.6.7-2 libldap-2.5-0_2.5.18+dfsg-3+b1 liblocale-gettext-perl_1.07-7+b1 liblsan0_14.2.0-4 liblz4-1_1.9.4-3 liblzma5_5.6.2-2 libmagic-mgc_1:5.45-3 libmagic1t64_1:5.45-3 libmath-prime-util-gmp-perl_0.52-2+b4 libmd0_1.1.0-2 libmount1_2.40.2-8 libmpc3_1.3.1-1+b2 libmpfr6_4.2.1-1+b1 libncursesw6_6.5-2 libnettle8t64_3.10-1 libnpth0t64_1.6-3.1 libp11-kit0_0.25.5-2 libpam-modules_1.5.3-7 libpam-modules-bin_1.5.3-7 libpam-runtime_1.5.3-7 libpam0g_1.5.3-7 libpcre2-8-0_10.42-4+b1 libperl-dev_5.40.0-5 libperl5.38t64_5.38.2-5 libperl5.40_5.40.0-5 libpipeline1_1.5.8-1 libquadmath0_14.2.0-4 libreadline8t64_8.2-5 libsasl2-2_2.1.28+dfsg1-8 libsasl2-modules-db_2.1.28+dfsg1-8 libseccomp2_2.5.5-1+b1 libselinux1_3.7-3 libsemanage-common_3.7-2 libsemanage2_3.7-2 libsepol2_3.7-1 libsframe1_2.43.1-4 libsmartcols1_2.40.2-8 libsqlite3-0_3.46.1-1 libssl3t64_3.3.2-1 libstdc++-13-dev_13.3.0-6 libstdc++-14-dev_14.2.0-4 libstdc++6_14.2.0-4 libsub-uplevel-perl_0.2800-3 libsystemd0_256.6-1 libtasn1-6_4.19.0-3+b2 libtest-warn-perl_0.37-2 libtinfo6_6.5-2 libtool_2.4.7-7 libtsan2_14.2.0-4 libubsan1_14.2.0-4 libuchardet0_0.0.8-1+b1 libudev1_256.6-1 libunistring5_1.2-1 libuuid1_2.40.2-8 libxml2_2.12.7+dfsg-3+b1 libxxhash0_0.8.2-2+b1 libzstd1_1.5.6+dfsg-1 linux-libc-dev_6.10.9-1 locales-all_2.40-2 login_1:4.16.0-2+really2.40.2-8 login.defs_1:4.16.0-4 m4_1.4.19-4 make_4.3-4.1 man-db_2.13.0-1 mawk_1.3.4.20240905-1 ncurses-base_6.5-2 ncurses-bin_6.5-2 openssl-provider-legacy_3.3.2-1 passwd_1:4.16.0-4 patch_2.7.6-7 perl_5.40.0-5 perl-base_5.40.0-5 perl-modules-5.38_5.38.2-5 perl-modules-5.40_5.40.0-5 pinentry-curses_1.2.1-4+b1 po-debconf_1.0.21+nmu1 readline-common_8.2-5 rpcsvc-proto_1.4.3-1 sbuild-build-depends-main-dummy_0.invalid.0 sed_4.9-2 sensible-utils_0.0.24 sysvinit-utils_3.10-2 tar_1.35+dfsg-3 usr-is-merged_39 util-linux_2.40.2-8 xz-utils_5.6.2-2 zlib1g_1:1.3.dfsg+really1.3.1-1

+------------------------------------------------------------------------------+
| Build                                                                        |
+------------------------------------------------------------------------------+


Unpack source
-------------

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Format: 3.0 (quilt)
Source: libmath-prime-util-perl
Binary: libmath-prime-util-perl
Architecture: any
Version: 0.73-2
Maintainer: Debian Perl Group <pkg-perl-maintainers@lists.alioth.debian.org>
Uploaders: gregor herrmann <gregoa@debian.org>, Salvatore Bonaccorso <carnil@debian.org>, Clément Hermann <nodens@nodens.org>
Homepage: https://metacpan.org/release/Math-Prime-Util
Standards-Version: 4.6.0
Vcs-Browser: https://salsa.debian.org/perl-team/modules/packages/libmath-prime-util-perl
Vcs-Git: https://salsa.debian.org/perl-team/modules/packages/libmath-prime-util-perl.git
Testsuite: autopkgtest-pkg-perl
Build-Depends: debhelper-compat (= 13), help2man, libdevel-checklib-perl, libmath-prime-util-gmp-perl <!nocheck>, libtest-warn-perl <!nocheck>, perl-xs-dev, perl:native
Package-List:
 libmath-prime-util-perl deb perl optional arch=any
Checksums-Sha1:
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 e2b07e7979d290bf49f17009a27f4fed3aeed784 6764 libmath-prime-util-perl_0.73-2.debian.tar.xz
Checksums-Sha256:
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Files:
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 6f6a77bffb55a3aa16936707e4e6e70f 6764 libmath-prime-util-perl_0.73-2.debian.tar.xz
Dgit: 44336d48ba17f416bae4f6b2c830b469c68c6367 debian archive/debian/0.73-2 https://git.dgit.debian.org/libmath-prime-util-perl

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gpgv: Signature made Fri Nov  5 17:31:41 2021 UTC
gpgv:                using RSA key D1E1316E93A760A8104D85FABB3A68018649AA06
gpgv: Can't check signature: No public key
dpkg-source: warning: cannot verify inline signature for ./libmath-prime-util-perl_0.73-2.dsc: no acceptable signature found
dpkg-source: info: extracting libmath-prime-util-perl in /<<PKGBUILDDIR>>
dpkg-source: info: unpacking libmath-prime-util-perl_0.73.orig.tar.gz
dpkg-source: info: unpacking libmath-prime-util-perl_0.73-2.debian.tar.xz

Check disk space
----------------

Sufficient free space for build

Hack binNMU version
-------------------

Created changelog entry for binNMU version 0.73-2+b5

+------------------------------------------------------------------------------+
| Starting Timed Build Commands                                                |
+------------------------------------------------------------------------------+


/usr/share/debomatic/sbuildcommands/starting-build-commands/no-network libmath-prime-util-perl_0.73-2 perl-5.40 amd64
---------------------------------------------------------------------------------------------------------------------


I: Finished running '/usr/share/debomatic/sbuildcommands/starting-build-commands/no-network libmath-prime-util-perl_0.73-2 perl-5.40 amd64'.

Finished processing commands.
--------------------------------------------------------------------------------

User Environment
----------------

APT_CONFIG=/var/lib/sbuild/apt.conf
HOME=/sbuild-nonexistent
LANG=en_GB.UTF-8
LANGUAGE=en_GB:en
LC_ALL=C.UTF-8
LD_LIBRARY_PATH=/usr/lib/libeatmydata
LD_PRELOAD=libeatmydata.so
LOGNAME=debomatic
PATH=/usr/local/sbin:/usr/local/bin:/usr/sbin:/usr/bin:/sbin:/bin:/usr/games
PWD=/<<PKGBUILDDIR>>
SCHROOT_ALIAS_NAME=perl-5.40-amd64-debomatic
SCHROOT_CHROOT_NAME=perl-5.40-amd64-debomatic
SCHROOT_COMMAND=env
SCHROOT_GID=110
SCHROOT_GROUP=sbuild
SCHROOT_SESSION_ID=perl-5.40-amd64-debomatic-41ac31fc-5358-4c82-b1f8-973cdab2b44c
SCHROOT_UID=1002
SCHROOT_USER=debomatic
SHELL=/bin/sh
USER=debomatic

dpkg-buildpackage
-----------------

Command: dpkg-buildpackage --sanitize-env -us -uc -mDebian Perl autobuilder <perl@packages.debian.org> -B -rfakeroot -Zxz
dpkg-buildpackage: info: source package libmath-prime-util-perl
dpkg-buildpackage: info: source version 0.73-2+b5
dpkg-buildpackage: info: source distribution perl-5.40
 dpkg-source -Zxz --before-build .
dpkg-buildpackage: info: host architecture amd64
 debian/rules clean
dh clean
   debian/rules override_dh_auto_clean
make[1]: Entering directory '/<<PKGBUILDDIR>>'
dh_auto_clean
[ ! -d /<<PKGBUILDDIR>>/inc.save ] || mv /<<PKGBUILDDIR>>/inc.save /<<PKGBUILDDIR>>/inc
make[1]: Leaving directory '/<<PKGBUILDDIR>>'
   dh_clean
 debian/rules binary-arch
dh binary-arch
   dh_update_autotools_config -a
   dh_autoreconf -a
   debian/rules override_dh_auto_configure
make[1]: Entering directory '/<<PKGBUILDDIR>>'
[ ! -d /<<PKGBUILDDIR>>/inc ] || mv /<<PKGBUILDDIR>>/inc /<<PKGBUILDDIR>>/inc.save
dh_auto_configure
	/usr/bin/perl Makefile.PL INSTALLDIRS=vendor "OPTIMIZE=-g -O2 -Werror=implicit-function-declaration -ffile-prefix-map=/<<PKGBUILDDIR>>=. -fstack-protector-strong -fstack-clash-protection -Wformat -Werror=format-security -fcf-protection -Wdate-time -D_FORTIFY_SOURCE=2" "LD=x86_64-linux-gnu-gcc -g -O2 -Werror=implicit-function-declaration -ffile-prefix-map=/<<PKGBUILDDIR>>=. -fstack-protector-strong -fstack-clash-protection -Wformat -Werror=format-security -fcf-protection -Wl,-z,relro -Wl,-z,now"

  It looks like you don't have the GMP library.  Sad face.
Checking if your kit is complete...
Warning: the following files are missing in your kit:
	inc/Devel/CheckLib.pm
Please inform the author.
Generating a Unix-style Makefile
Writing Makefile for Math::Prime::Util
Writing MYMETA.yml and MYMETA.json
make[1]: Leaving directory '/<<PKGBUILDDIR>>'
   dh_auto_build -a
	make -j2
make[1]: Entering directory '/<<PKGBUILDDIR>>'
Running Mkbootstrap for Util ()
chmod 644 "Util.bs"
x86_64-linux-gnu-gcc -c   -D_REENTRANT -D_GNU_SOURCE -DDEBIAN -fwrapv -fno-strict-aliasing -pipe -I/usr/local/include -D_LARGEFILE_SOURCE -D_FILE_OFFSET_BITS=64 -g -O2 -Werror=implicit-function-declaration -ffile-prefix-map=/<<PKGBUILDDIR>>=. -fstack-protector-strong -fstack-clash-protection -Wformat -Werror=format-security -fcf-protection -Wdate-time -D_FORTIFY_SOURCE=2   -DVERSION=\"0.73\" -DXS_VERSION=\"0.73\" -fPIC "-I/usr/lib/x86_64-linux-gnu/perl/5.40/CORE"   cache.c
cp lib/Math/Prime/Util/PrimalityProving.pm blib/lib/Math/Prime/Util/PrimalityProving.pm
cp lib/Math/Prime/Util/PPFE.pm blib/lib/Math/Prime/Util/PPFE.pm
cp lib/Math/Prime/Util/MemFree.pm blib/lib/Math/Prime/Util/MemFree.pm
cp lib/Math/Prime/Util/PrimeArray.pm blib/lib/Math/Prime/Util/PrimeArray.pm
cp lib/Math/Prime/Util/RandomPrimes.pm blib/lib/Math/Prime/Util/RandomPrimes.pm
cp lib/ntheory.pm blib/lib/ntheory.pm
cp lib/Math/Prime/Util/ECProjectivePoint.pm blib/lib/Math/Prime/Util/ECProjectivePoint.pm
cp lib/Math/Prime/Util/Entropy.pm blib/lib/Math/Prime/Util/Entropy.pm
cp lib/Math/Prime/Util/PrimeIterator.pm blib/lib/Math/Prime/Util/PrimeIterator.pm
cp lib/Math/Prime/Util/ChaCha.pm blib/lib/Math/Prime/Util/ChaCha.pm
cp lib/Math/Prime/Util/PP.pm blib/lib/Math/Prime/Util/PP.pm
cp lib/Math/Prime/Util/ECAffinePoint.pm blib/lib/Math/Prime/Util/ECAffinePoint.pm
cp lib/Math/Prime/Util.pm blib/lib/Math/Prime/Util.pm
cp lib/Math/Prime/Util/ZetaBigFloat.pm blib/lib/Math/Prime/Util/ZetaBigFloat.pm
x86_64-linux-gnu-gcc -c   -D_REENTRANT -D_GNU_SOURCE -DDEBIAN -fwrapv -fno-strict-aliasing -pipe -I/usr/local/include -D_LARGEFILE_SOURCE -D_FILE_OFFSET_BITS=64 -g -O2 -Werror=implicit-function-declaration -ffile-prefix-map=/<<PKGBUILDDIR>>=. -fstack-protector-strong -fstack-clash-protection -Wformat -Werror=format-security -fcf-protection -Wdate-time -D_FORTIFY_SOURCE=2   -DVERSION=\"0.73\" -DXS_VERSION=\"0.73\" -fPIC "-I/usr/lib/x86_64-linux-gnu/perl/5.40/CORE"   factor.c
x86_64-linux-gnu-gcc -c   -D_REENTRANT -D_GNU_SOURCE -DDEBIAN -fwrapv -fno-strict-aliasing -pipe -I/usr/local/include -D_LARGEFILE_SOURCE -D_FILE_OFFSET_BITS=64 -g -O2 -Werror=implicit-function-declaration -ffile-prefix-map=/<<PKGBUILDDIR>>=. -fstack-protector-strong -fstack-clash-protection -Wformat -Werror=format-security -fcf-protection -Wdate-time -D_FORTIFY_SOURCE=2   -DVERSION=\"0.73\" -DXS_VERSION=\"0.73\" -fPIC "-I/usr/lib/x86_64-linux-gnu/perl/5.40/CORE"   primality.c
x86_64-linux-gnu-gcc -c   -D_REENTRANT -D_GNU_SOURCE -DDEBIAN -fwrapv -fno-strict-aliasing -pipe -I/usr/local/include -D_LARGEFILE_SOURCE -D_FILE_OFFSET_BITS=64 -g -O2 -Werror=implicit-function-declaration -ffile-prefix-map=/<<PKGBUILDDIR>>=. -fstack-protector-strong -fstack-clash-protection -Wformat -Werror=format-security -fcf-protection -Wdate-time -D_FORTIFY_SOURCE=2   -DVERSION=\"0.73\" -DXS_VERSION=\"0.73\" -fPIC "-I/usr/lib/x86_64-linux-gnu/perl/5.40/CORE"   aks.c
x86_64-linux-gnu-gcc -c   -D_REENTRANT -D_GNU_SOURCE -DDEBIAN -fwrapv -fno-strict-aliasing -pipe -I/usr/local/include -D_LARGEFILE_SOURCE -D_FILE_OFFSET_BITS=64 -g -O2 -Werror=implicit-function-declaration -ffile-prefix-map=/<<PKGBUILDDIR>>=. -fstack-protector-strong -fstack-clash-protection -Wformat -Werror=format-security -fcf-protection -Wdate-time -D_FORTIFY_SOURCE=2   -DVERSION=\"0.73\" -DXS_VERSION=\"0.73\" -fPIC "-I/usr/lib/x86_64-linux-gnu/perl/5.40/CORE"   lehmer.c
x86_64-linux-gnu-gcc -c   -D_REENTRANT -D_GNU_SOURCE -DDEBIAN -fwrapv -fno-strict-aliasing -pipe -I/usr/local/include -D_LARGEFILE_SOURCE -D_FILE_OFFSET_BITS=64 -g -O2 -Werror=implicit-function-declaration -ffile-prefix-map=/<<PKGBUILDDIR>>=. -fstack-protector-strong -fstack-clash-protection -Wformat -Werror=format-security -fcf-protection -Wdate-time -D_FORTIFY_SOURCE=2   -DVERSION=\"0.73\" -DXS_VERSION=\"0.73\" -fPIC "-I/usr/lib/x86_64-linux-gnu/perl/5.40/CORE"   lmo.c
x86_64-linux-gnu-gcc -c   -D_REENTRANT -D_GNU_SOURCE -DDEBIAN -fwrapv -fno-strict-aliasing -pipe -I/usr/local/include -D_LARGEFILE_SOURCE -D_FILE_OFFSET_BITS=64 -g -O2 -Werror=implicit-function-declaration -ffile-prefix-map=/<<PKGBUILDDIR>>=. -fstack-protector-strong -fstack-clash-protection -Wformat -Werror=format-security -fcf-protection -Wdate-time -D_FORTIFY_SOURCE=2   -DVERSION=\"0.73\" -DXS_VERSION=\"0.73\" -fPIC "-I/usr/lib/x86_64-linux-gnu/perl/5.40/CORE"   random_prime.c
x86_64-linux-gnu-gcc -c   -D_REENTRANT -D_GNU_SOURCE -DDEBIAN -fwrapv -fno-strict-aliasing -pipe -I/usr/local/include -D_LARGEFILE_SOURCE -D_FILE_OFFSET_BITS=64 -g -O2 -Werror=implicit-function-declaration -ffile-prefix-map=/<<PKGBUILDDIR>>=. -fstack-protector-strong -fstack-clash-protection -Wformat -Werror=format-security -fcf-protection -Wdate-time -D_FORTIFY_SOURCE=2   -DVERSION=\"0.73\" -DXS_VERSION=\"0.73\" -fPIC "-I/usr/lib/x86_64-linux-gnu/perl/5.40/CORE"   sieve.c
x86_64-linux-gnu-gcc -c   -D_REENTRANT -D_GNU_SOURCE -DDEBIAN -fwrapv -fno-strict-aliasing -pipe -I/usr/local/include -D_LARGEFILE_SOURCE -D_FILE_OFFSET_BITS=64 -g -O2 -Werror=implicit-function-declaration -ffile-prefix-map=/<<PKGBUILDDIR>>=. -fstack-protector-strong -fstack-clash-protection -Wformat -Werror=format-security -fcf-protection -Wdate-time -D_FORTIFY_SOURCE=2   -DVERSION=\"0.73\" -DXS_VERSION=\"0.73\" -fPIC "-I/usr/lib/x86_64-linux-gnu/perl/5.40/CORE"   sieve_cluster.c
x86_64-linux-gnu-gcc -c   -D_REENTRANT -D_GNU_SOURCE -DDEBIAN -fwrapv -fno-strict-aliasing -pipe -I/usr/local/include -D_LARGEFILE_SOURCE -D_FILE_OFFSET_BITS=64 -g -O2 -Werror=implicit-function-declaration -ffile-prefix-map=/<<PKGBUILDDIR>>=. -fstack-protector-strong -fstack-clash-protection -Wformat -Werror=format-security -fcf-protection -Wdate-time -D_FORTIFY_SOURCE=2   -DVERSION=\"0.73\" -DXS_VERSION=\"0.73\" -fPIC "-I/usr/lib/x86_64-linux-gnu/perl/5.40/CORE"   ramanujan_primes.c
x86_64-linux-gnu-gcc -c   -D_REENTRANT -D_GNU_SOURCE -DDEBIAN -fwrapv -fno-strict-aliasing -pipe -I/usr/local/include -D_LARGEFILE_SOURCE -D_FILE_OFFSET_BITS=64 -g -O2 -Werror=implicit-function-declaration -ffile-prefix-map=/<<PKGBUILDDIR>>=. -fstack-protector-strong -fstack-clash-protection -Wformat -Werror=format-security -fcf-protection -Wdate-time -D_FORTIFY_SOURCE=2   -DVERSION=\"0.73\" -DXS_VERSION=\"0.73\" -fPIC "-I/usr/lib/x86_64-linux-gnu/perl/5.40/CORE"   semi_primes.c
x86_64-linux-gnu-gcc -c   -D_REENTRANT -D_GNU_SOURCE -DDEBIAN -fwrapv -fno-strict-aliasing -pipe -I/usr/local/include -D_LARGEFILE_SOURCE -D_FILE_OFFSET_BITS=64 -g -O2 -Werror=implicit-function-declaration -ffile-prefix-map=/<<PKGBUILDDIR>>=. -fstack-protector-strong -fstack-clash-protection -Wformat -Werror=format-security -fcf-protection -Wdate-time -D_FORTIFY_SOURCE=2   -DVERSION=\"0.73\" -DXS_VERSION=\"0.73\" -fPIC "-I/usr/lib/x86_64-linux-gnu/perl/5.40/CORE"   prime_nth_count.c
x86_64-linux-gnu-gcc -c   -D_REENTRANT -D_GNU_SOURCE -DDEBIAN -fwrapv -fno-strict-aliasing -pipe -I/usr/local/include -D_LARGEFILE_SOURCE -D_FILE_OFFSET_BITS=64 -g -O2 -Werror=implicit-function-declaration -ffile-prefix-map=/<<PKGBUILDDIR>>=. -fstack-protector-strong -fstack-clash-protection -Wformat -Werror=format-security -fcf-protection -Wdate-time -D_FORTIFY_SOURCE=2   -DVERSION=\"0.73\" -DXS_VERSION=\"0.73\" -fPIC "-I/usr/lib/x86_64-linux-gnu/perl/5.40/CORE"   util.c
x86_64-linux-gnu-gcc -c   -D_REENTRANT -D_GNU_SOURCE -DDEBIAN -fwrapv -fno-strict-aliasing -pipe -I/usr/local/include -D_LARGEFILE_SOURCE -D_FILE_OFFSET_BITS=64 -g -O2 -Werror=implicit-function-declaration -ffile-prefix-map=/<<PKGBUILDDIR>>=. -fstack-protector-strong -fstack-clash-protection -Wformat -Werror=format-security -fcf-protection -Wdate-time -D_FORTIFY_SOURCE=2   -DVERSION=\"0.73\" -DXS_VERSION=\"0.73\" -fPIC "-I/usr/lib/x86_64-linux-gnu/perl/5.40/CORE"   entropy.c
x86_64-linux-gnu-gcc -c   -D_REENTRANT -D_GNU_SOURCE -DDEBIAN -fwrapv -fno-strict-aliasing -pipe -I/usr/local/include -D_LARGEFILE_SOURCE -D_FILE_OFFSET_BITS=64 -g -O2 -Werror=implicit-function-declaration -ffile-prefix-map=/<<PKGBUILDDIR>>=. -fstack-protector-strong -fstack-clash-protection -Wformat -Werror=format-security -fcf-protection -Wdate-time -D_FORTIFY_SOURCE=2   -DVERSION=\"0.73\" -DXS_VERSION=\"0.73\" -fPIC "-I/usr/lib/x86_64-linux-gnu/perl/5.40/CORE"   csprng.c
x86_64-linux-gnu-gcc -c   -D_REENTRANT -D_GNU_SOURCE -DDEBIAN -fwrapv -fno-strict-aliasing -pipe -I/usr/local/include -D_LARGEFILE_SOURCE -D_FILE_OFFSET_BITS=64 -g -O2 -Werror=implicit-function-declaration -ffile-prefix-map=/<<PKGBUILDDIR>>=. -fstack-protector-strong -fstack-clash-protection -Wformat -Werror=format-security -fcf-protection -Wdate-time -D_FORTIFY_SOURCE=2   -DVERSION=\"0.73\" -DXS_VERSION=\"0.73\" -fPIC "-I/usr/lib/x86_64-linux-gnu/perl/5.40/CORE"   chacha.c
"/usr/bin/perl" "/usr/share/perl/5.40/ExtUtils/xsubpp"  -typemap '/usr/share/perl/5.40/ExtUtils/typemap'  XS.xs > XS.xsc
mv XS.xsc XS.c
"/usr/bin/perl" -MExtUtils::Command::MM -e 'cp_nonempty' -- Util.bs blib/arch/auto/Math/Prime/Util/Util.bs 644
x86_64-linux-gnu-gcc -c   -D_REENTRANT -D_GNU_SOURCE -DDEBIAN -fwrapv -fno-strict-aliasing -pipe -I/usr/local/include -D_LARGEFILE_SOURCE -D_FILE_OFFSET_BITS=64 -g -O2 -Werror=implicit-function-declaration -ffile-prefix-map=/<<PKGBUILDDIR>>=. -fstack-protector-strong -fstack-clash-protection -Wformat -Werror=format-security -fcf-protection -Wdate-time -D_FORTIFY_SOURCE=2   -DVERSION=\"0.73\" -DXS_VERSION=\"0.73\" -fPIC "-I/usr/lib/x86_64-linux-gnu/perl/5.40/CORE"   XS.c
rm -f blib/arch/auto/Math/Prime/Util/Util.so
x86_64-linux-gnu-gcc -g -O2 -Werror=implicit-function-declaration -ffile-prefix-map=/<<PKGBUILDDIR>>=. -fstack-protector-strong -fstack-clash-protection -Wformat -Werror=format-security -fcf-protection -Wl,-z,relro -Wl,-z,now  -shared -L/usr/local/lib -fstack-protector-strong  cache.o factor.o primality.o aks.o lehmer.o lmo.o random_prime.o sieve.o sieve_cluster.o ramanujan_primes.o semi_primes.o prime_nth_count.o util.o entropy.o csprng.o chacha.o XS.o  -o blib/arch/auto/Math/Prime/Util/Util.so  \
   -lm   \
  
chmod 755 blib/arch/auto/Math/Prime/Util/Util.so
cp bin/factor.pl blib/script/factor.pl
cp bin/primes.pl blib/script/primes.pl
"/usr/bin/perl" -MExtUtils::MY -e 'MY->fixin(shift)' -- blib/script/factor.pl
"/usr/bin/perl" -MExtUtils::MY -e 'MY->fixin(shift)' -- blib/script/primes.pl
Manifying 14 pod documents
make[1]: Leaving directory '/<<PKGBUILDDIR>>'
   dh_auto_test -a
	make -j2 test TEST_VERBOSE=1
make[1]: Entering directory '/<<PKGBUILDDIR>>'
"/usr/bin/perl" -MExtUtils::Command::MM -e 'cp_nonempty' -- Util.bs blib/arch/auto/Math/Prime/Util/Util.bs 644
PERL_DL_NONLAZY=1 "/usr/bin/perl" "-MExtUtils::Command::MM" "-MTest::Harness" "-e" "undef *Test::Harness::Switches; test_harness(1, 'blib/lib', 'blib/arch')" t/*.t
t/01-load.t .................. 
1..1
ok 1 - require Math::Prime::Util;
ok
t/011-load-ntheory.t ......... 
1..1
ok 1 - require ntheory;
ok
t/02-can.t ................... 
1..1
ok 1 - Math::Prime::Util->can(...)
ok
t/022-can-ntheory.t .......... 
1..1
ok 1 - ntheory can do is_prime
ok
# Using XS with MPU::GMP version 0.52.
t/03-init.t .................. 
1..15
ok 1 - Math::Prime::Util->can('prime_get_config')
ok 2 - Internal space grew after large precalc
ok 3 - Internal space went back to original size after memfree
ok 4 - An object of class 'Math::Prime::Util::MemFree' isa 'Math::Prime::Util::MemFree'
ok 5 - Internal space grew after large precalc
ok 6 - Memory released after MemFree object goes out of scope
ok 7 - Internal space grew after large precalc
ok 8 - Memory not freed yet because a MemFree object still live.
ok 9 - Memory released after last MemFree object goes out of scope
ok 10 - Internal space grew after large precalc
ok 11 - Memory freed after successful eval
ok 12 - Internal space grew after large precalc
ok 13 - Memory normally not freed after eval die
ok 14 - Internal space grew after large precalc
ok 15 - Memory is freed after eval die using object scoper
ok
t/04-inputvalidation.t ....... 
1..28
ok 1 - next_prime(undef)
ok 2 - next_prime('')
ok 3 - next_prime(-4)
ok 4 - next_prime(-)
ok 5 - next_prime(+)
ok 6 - next_prime(++4)
ok 7 - next_prime(+-4)
ok 8 - next_prime(-0004)
ok 9 - next_prime(a)
ok 10 - next_prime(5.6)
ok 11 - next_prime(4e)
ok 12 - next_prime(1.1e12)
ok 13 - next_prime(1e8)
ok 14 - next_prime(NaN)
ok 15 - next_prime(-4)
ok 16 - next_prime(15.6)
ok 17 - next_prime(NaN)
ok 18 - Correct: next_prime(+4)
ok 19 - Correct: next_prime(+0004)
ok 20 - Correct: next_prime(0004)
ok 21 - Correct: next_prime(10000000000000000000000012)
ok 22 - Correct: next_prime(4)
ok 23 - Correct: next_prime(5)
ok 24 - Correct: next_prime(9)
ok 25 - Correct: next_prime(100000000)
ok 26 - next_prime( infinity )
ok 27 - next_prime( nan ) [nan = 'NaN']
ok 28 - next_prime('111...111x')
ok
t/10-isprime.t ............... 
1..127
ok 1 - is_prime(undef)
ok 2 - 2 is prime
ok 3 - 1 is not prime
ok 4 - 0 is not prime
ok 5 - -1 is not prime
ok 6 - -2 is not prime
ok 7 - is_prime powers of 2
ok 8 - is_prime 0..3572
ok 9 - 4033 is composite
ok 10 - 4369 is composite
ok 11 - 4371 is composite
ok 12 - 4681 is composite
ok 13 - 5461 is composite
ok 14 - 5611 is composite
ok 15 - 6601 is composite
ok 16 - 7813 is composite
ok 17 - 7957 is composite
ok 18 - 8321 is composite
ok 19 - 8401 is composite
ok 20 - 8911 is composite
ok 21 - 10585 is composite
ok 22 - 12403 is composite
ok 23 - 13021 is composite
ok 24 - 14981 is composite
ok 25 - 15751 is composite
ok 26 - 15841 is composite
ok 27 - 16531 is composite
ok 28 - 18721 is composite
ok 29 - 19345 is composite
ok 30 - 23521 is composite
ok 31 - 24211 is composite
ok 32 - 25351 is composite
ok 33 - 29341 is composite
ok 34 - 29539 is composite
ok 35 - 31621 is composite
ok 36 - 38081 is composite
ok 37 - 40501 is composite
ok 38 - 41041 is composite
ok 39 - 44287 is composite
ok 40 - 44801 is composite
ok 41 - 46657 is composite
ok 42 - 47197 is composite
ok 43 - 52633 is composite
ok 44 - 53971 is composite
ok 45 - 55969 is composite
ok 46 - 62745 is composite
ok 47 - 63139 is composite
ok 48 - 63973 is composite
ok 49 - 74593 is composite
ok 50 - 75361 is composite
ok 51 - 79003 is composite
ok 52 - 79381 is composite
ok 53 - 82513 is composite
ok 54 - 87913 is composite
ok 55 - 88357 is composite
ok 56 - 88573 is composite
ok 57 - 97567 is composite
ok 58 - 101101 is composite
ok 59 - 340561 is composite
ok 60 - 488881 is composite
ok 61 - 852841 is composite
ok 62 - 1373653 is composite
ok 63 - 1857241 is composite
ok 64 - 6733693 is composite
ok 65 - 9439201 is composite
ok 66 - 17236801 is composite
ok 67 - 23382529 is composite
ok 68 - 25326001 is composite
ok 69 - 34657141 is composite
ok 70 - 56052361 is composite
ok 71 - 146843929 is composite
ok 72 - 216821881 is composite
ok 73 - 3215031751 is composite
ok 74 - 2152302898747 is composite
ok 75 - 3474749660383 is composite
ok 76 - 341550071728321 is composite
ok 77 - 341550071728321 is composite
ok 78 - 3825123056546413051 is composite
ok 79 - 9551 is definitely prime
ok 80 - 15683 is definitely prime
ok 81 - 19609 is definitely prime
ok 82 - 31397 is definitely prime
ok 83 - 155921 is definitely prime
ok 84 - 9587 is definitely prime
ok 85 - 15727 is definitely prime
ok 86 - 19661 is definitely prime
ok 87 - 31469 is definitely prime
ok 88 - 156007 is definitely prime
ok 89 - 360749 is definitely prime
ok 90 - 370373 is definitely prime
ok 91 - 492227 is definitely prime
ok 92 - 1349651 is definitely prime
ok 93 - 1357333 is definitely prime
ok 94 - 2010881 is definitely prime
ok 95 - 4652507 is definitely prime
ok 96 - 17051887 is definitely prime
ok 97 - 20831533 is definitely prime
ok 98 - 47326913 is definitely prime
ok 99 - 122164969 is definitely prime
ok 100 - 189695893 is definitely prime
ok 101 - 191913031 is definitely prime
ok 102 - 387096383 is definitely prime
ok 103 - 436273291 is definitely prime
ok 104 - 1294268779 is definitely prime
ok 105 - 1453168433 is definitely prime
ok 106 - 2300942869 is definitely prime
ok 107 - 3842611109 is definitely prime
ok 108 - 4302407713 is definitely prime
ok 109 - 10726905041 is definitely prime
ok 110 - 20678048681 is definitely prime
ok 111 - 22367085353 is definitely prime
ok 112 - 25056082543 is definitely prime
ok 113 - 42652618807 is definitely prime
ok 114 - 127976334671 is definitely prime
ok 115 - 182226896239 is definitely prime
ok 116 - 241160624143 is definitely prime
ok 117 - 297501075799 is definitely prime
ok 118 - 303371455241 is definitely prime
ok 119 - 304599508537 is definitely prime
ok 120 - 416608695821 is definitely prime
ok 121 - 461690510011 is definitely prime
ok 122 - 614487453523 is definitely prime
ok 123 - 738832927927 is definitely prime
ok 124 - 1346294310749 is definitely prime
ok 125 - 1408695493609 is definitely prime
ok 126 - 1968188556461 is definitely prime
ok 127 - 2614941710599 is definitely prime
ok
t/11-clusters.t .............. 
1..41
ok 1 - A001359 0 200
ok 2 - A022004 317321 319727
ok 3 - A022005 557857 560293
ok 4 - Inadmissible pattern (0,2,4) finds (3,5,7)
ok 5 - Inadmissible pattern (0,2,8,14,26) finds (3,5,11,17,29) and (5,7,13,19,31)
ok 6 - Pattern [2] 1224 in range 0 .. 100000
ok 7 - Pattern [2 6] 259 in range 0 .. 100000
ok 8 - Pattern [4 6] 248 in range 0 .. 100000
ok 9 - Pattern [2 6 8] 38 in range 0 .. 100000
ok 10 - Pattern [2 6 8 12] 10 in range 0 .. 100000
ok 11 - Pattern [4 6 10 12] 11 in range 0 .. 100000
ok 12 - Pattern [4 6 10 12 16] 5 in range 0 .. 100000
ok 13 - Pattern [2 8 12 14 18 20] 2 in range 0 .. 100000
ok 14 - Pattern [2 6 8 12 18 20] 1 in range 0 .. 100000
ok 15 - Pattern [2] 28 in range 1000000000000000000000 .. 1000000000000000038888
ok 16 - Pattern [2 6] 1 in range 1000000000000000000000 .. 1000000000000000038888
ok 17 - Pattern [4 6] 1 in range 1000000000000000000000 .. 1000000000000000038888
ok 18 - Pattern [2 6 8] 0 in range 1000000000000000000000 .. 1000000000000000038888
ok 19 - Pattern [2 6 8 12] 0 in range 1000000000000000000000 .. 1000000000000000038888
ok 20 - Pattern [4 6 10 12] 0 in range 1000000000000000000000 .. 1000000000000000038888
ok 21 - Pattern [4 6 10 12 16] 0 in range 1000000000000000000000 .. 1000000000000000038888
ok 22 - Pattern [2 8 12 14 18 20] 0 in range 1000000000000000000000 .. 1000000000000000038888
ok 23 - Pattern [2 6 8 12 18 20] 0 in range 1000000000000000000000 .. 1000000000000000038888
ok 24 - Window around A022006 high cluster finds the cluster
ok 25 - Window around A022007 high cluster finds the cluster
ok 26 - Window around A022008 high cluster finds the cluster
ok 27 - Window around A022009 high cluster finds the cluster
ok 28 - Window around A022010 high cluster finds the cluster
ok 29 - Window around A022010 high cluster finds the cluster
ok 30 - Window around A022012 high cluster finds the cluster
ok 31 - Window around A022013 high cluster finds the cluster
ok 32 - Window around A022545 high cluster finds the cluster
ok 33 - Window around A022546 high cluster finds the cluster
ok 34 - Window around A022547 high cluster finds the cluster
ok 35 - Window around A022548 high cluster finds the cluster
ok 36 - Window around A027569 high cluster finds the cluster
ok 37 - Window around A027570 high cluster finds the cluster
ok 38 - Window around A213601 high cluster finds the cluster
ok 39 - Window around A213645 high cluster finds the cluster
ok 40 - Window around A213646 high cluster finds the cluster
ok 41 - Window around A213647 high cluster finds the cluster
ok
t/11-primes.t ................ 
1..124
ok 1 - primes(undef)
ok 2 - primes(a)
ok 3 - primes(-4)
ok 4 - primes(2,undef)
ok 5 - primes(2,x)
ok 6 - primes(2,-4)
ok 7 - primes(undef,7)
ok 8 - primes(x,7)
ok 9 - primes(-10,7)
ok 10 - primes(undef,undef)
ok 11 - primes(x,x)
ok 12 - primes(-10,-4)
ok 13 - primes(inf)
ok 14 - primes(2,inf)
ok 15 - primes(inf,inf)
ok 16 - primes(19) should return [2 3 5 7 11 13 17 19]
ok 17 - primes(5) should return [2 3 5]
ok 18 - primes(11) should return [2 3 5 7 11]
ok 19 - primes(3) should return [2 3]
ok 20 - primes(18) should return [2 3 5 7 11 13 17]
ok 21 - primes(6) should return [2 3 5]
ok 22 - primes(20) should return [2 3 5 7 11 13 17 19]
ok 23 - primes(7) should return [2 3 5 7]
ok 24 - primes(2) should return [2]
ok 25 - primes(0) should return []
ok 26 - primes(1) should return []
ok 27 - primes(4) should return [2 3]
ok 28 - Primes between 0 and 3572
ok 29 - primes(70,30) should return []
ok 30 - primes(30,70) should return [31 37 41 43 47 53 59 61 67]
ok 31 - primes(2010733,2010881) should return [2010733 2010881]
ok 32 - primes(2010734,2010880) should return []
ok 33 - primes(2,2) should return [2]
ok 34 - primes(2,3) should return [2 3]
ok 35 - primes(3,6) should return [3 5]
ok 36 - primes(3842610774,3842611108) should return []
ok 37 - primes(3090,3162) should return [3109 3119 3121 3137]
ok 38 - primes(3,9) should return [3 5 7]
ok 39 - primes(3088,3164) should return [3089 3109 3119 3121 3137 3163]
ok 40 - primes(3089,3163) should return [3089 3109 3119 3121 3137 3163]
ok 41 - primes(3,3) should return [3]
ok 42 - primes(4,8) should return [5 7]
ok 43 - primes(3,7) should return [3 5 7]
ok 44 - primes(3842610773,3842611109) should return [3842610773 3842611109]
ok 45 - primes(2,20) should return [2 3 5 7 11 13 17 19]
ok 46 - primes(20,2) should return []
ok 47 - primes(2,5) should return [2 3 5]
ok 48 - Primes between 1_693_182_318_746_371 and 1_693_182_318_747_671
ok 49 - count primes within a range
ok 50 - primes(0, 3572)
ok 51 - primes(2, 20)
ok 52 - primes(30, 70)
ok 53 - primes(30, 70)
ok 54 - primes(20, 2)
ok 55 - primes(1, 1)
ok 56 - primes(2, 2)
ok 57 - primes(3, 3)
ok 58 - primes Primegap 21 inclusive
ok 59 - primes Primegap 21 exclusive
ok 60 - primes(3088, 3164)
ok 61 - primes(3089, 3163)
ok 62 - primes(3090, 3162)
ok 63 - trial(0, 3572)
ok 64 - trial(2, 20)
ok 65 - trial(30, 70)
ok 66 - trial(30, 70)
ok 67 - trial(20, 2)
ok 68 - trial(1, 1)
ok 69 - trial(2, 2)
ok 70 - trial(3, 3)
ok 71 - trial Primegap 21 inclusive
ok 72 - trial Primegap 21 exclusive
ok 73 - trial(3088, 3164)
ok 74 - trial(3089, 3163)
ok 75 - trial(3090, 3162)
ok 76 - segment(0, 3572)
ok 77 - segment(2, 20)
ok 78 - segment(30, 70)
ok 79 - segment(30, 70)
ok 80 - segment(20, 2)
ok 81 - segment(1, 1)
ok 82 - segment(2, 2)
ok 83 - segment(3, 3)
ok 84 - segment Primegap 21 inclusive
ok 85 - segment Primegap 21 exclusive
ok 86 - segment(3088, 3164)
ok 87 - segment(3089, 3163)
ok 88 - segment(3090, 3162)
ok 89 - sieve(0, 3572)
ok 90 - sieve(2, 20)
ok 91 - sieve(30, 70)
ok 92 - sieve(30, 70)
ok 93 - sieve(20, 2)
ok 94 - sieve(1, 1)
ok 95 - sieve(2, 2)
ok 96 - sieve(3, 3)
ok 97 - sieve Primegap 21 inclusive
ok 98 - sieve Primegap 21 exclusive
ok 99 - sieve(3088, 3164)
ok 100 - sieve(3089, 3163)
ok 101 - sieve(3090, 3162)
ok 102 - erat(0, 3572)
ok 103 - erat(2, 20)
ok 104 - erat(30, 70)
ok 105 - erat(30, 70)
ok 106 - erat(20, 2)
ok 107 - erat(1, 1)
ok 108 - erat(2, 2)
ok 109 - erat(3, 3)
ok 110 - erat Primegap 21 inclusive
ok 111 - erat Primegap 21 exclusive
ok 112 - erat(3088, 3164)
ok 113 - erat(3089, 3163)
ok 114 - erat(3090, 3162)
ok 115 - sieve_range 0 width 1000 depth 40 returns primes
ok 116 - sieve_range 1 width 4 depth 2 returns 1,2
ok 117 - sieve_range 1 width 5 depth 2 returns 1,2,4
ok 118 - sieve_range 1 width 6 depth 3 returns 1,2,4
ok 119 - sieve_range(109485,100,3)
ok 120 - sieve_range(109485,100,5)
ok 121 - sieve_range(109485,100,7)
ok 122 - sieve_range(109485,100,11)
ok 123 - sieve_range(109485,100,13)
ok 124 - sieve_range(109485,100,17)
ok
t/11-ramanujanprimes.t ....... 
1..25
ok 1 - ramanujan_primes(983)
ok 2 - ramanujan_primes(2,11) should return [2 11]
ok 3 - ramanujan_primes(599,599) should return [599]
ok 4 - ramanujan_primes(11,18) should return [11 17]
ok 5 - ramanujan_primes(10,11) should return [11]
ok 6 - ramanujan_primes(1,11) should return [2 11]
ok 7 - ramanujan_primes(182,226) should return []
ok 8 - ramanujan_primes(11,20) should return [11 17]
ok 9 - ramanujan_primes(3,11) should return [11]
ok 10 - ramanujan_primes(10000,10100) should return [10061 10067 10079 10091 10093]
ok 11 - ramanujan_primes(11,29) should return [11 17 29]
ok 12 - ramanujan_primes(0,11) should return [2 11]
ok 13 - ramanujan_primes(11,16) should return [11]
ok 14 - ramanujan_primes(11,19) should return [11 17]
ok 15 - ramanujan_primes(11,17) should return [11 17]
ok 16 - nth_ramanujan_prime(1 .. 72)
ok 17 - The 123,456th Ramanujan prime is 3657037
ok 18 - is_ramanujan_prime( 0 .. 72)
ok 19 - 997th Ramanujan prime is 19379
ok 20 - Rn[23744] is 617759
ok 21 - small ramanujan prime limits
ok 22 - ramanujan prime limits for 59643
ok 23 - ramanujan prime limits for 5964377
ok 24 - ramanujan prime approx for 59643
ok 25 - ramanujan prime approx for 5964377
ok
t/11-semiprimes.t ............ 
1..33
ok 1 - semi_primes(95)
ok 2 - nth_semiprime for small values
ok 3 - semi_primes(8589990147,8589990167) should return [8589990149 8589990157 8589990166]
ok 4 - semi_primes(26,33) should return [26 33]
ok 5 - semi_primes(4,11) should return [4 6 9 10]
ok 6 - semi_primes(2,11) should return [4 6 9 10]
ok 7 - semi_primes(10,13) should return [10]
ok 8 - semi_primes(5,16) should return [6 9 10 14 15]
ok 9 - semi_primes(3,11) should return [4 6 9 10]
ok 10 - semi_primes(10,12) should return [10]
ok 11 - semi_primes(25,34) should return [25 26 33 34]
ok 12 - semi_primes(184279943,184280038) should return [184279943 184279969 184280038]
ok 13 - semi_primes(0,11) should return [4 6 9 10]
ok 14 - semi_primes(10,10) should return [10]
ok 15 - semi_primes(1,11) should return [4 6 9 10]
ok 16 - semi_primes(10,14) should return [10 14]
ok 17 - semi_primes(10,11) should return [10]
ok 18 - semi_primes(11,13) should return []
ok 19 - semi_primes(184279944,184280037) should return [184279969]
ok 20 - semiprime_count(123456) = 28589
ok 21 - semiprime_count(1234) = 363
ok 22 - semiprime_count(12345) = 3217
ok 23 - nth_semiprime(123456) = 573355
ok 24 - nth_semiprime(1234) = 4497
ok 25 - nth_semiprime(12345) = 51019
ok 26 - semiprime_count_approx(10000000000000000000) ~ 932300026230174178
ok 27 - semiprime_count_approx(100000000000000) ~ 11715902308080
ok 28 - semiprime_count_approx(100000000000) ~ 13959990342
ok 29 - semiprime_count_approx(100000000) ~ 17427258
ok 30 - nth_semiprime_approx(288230376151711744) ~ 3027432768282284351
ok 31 - nth_semiprime_approx(2147483648) ~ 14540737711
ok 32 - nth_semiprime_approx(4398046511104) ~ 36676111297003
ok 33 - nth_semiprime_approx(100000000000000000) ~ 1030179406403917981
ok
t/11-sumprimes.t ............. 
1..5
ok 1 - sum_primes for 0 to 1000
ok 2 - sum primes from 12345 to 54321
ok 3 - sum primes from 10000000 to 10001000
ok 4 - sum primes from 0 to 300000
ok 5 - sum primes from 189695660 to 189695892
ok
t/11-twinprimes.t ............ 
1..17
ok 1 - twin_primes(1607)
ok 2 - nth_twin_prime for small values
ok 3 - twin_primes(213897,213997) should return [213947]
ok 4 - twin_primes(0,11) should return [3 5 11]
ok 5 - twin_primes(5,10) should return [5]
ok 6 - twin_primes(4294957296,4294957796) should return [4294957307 4294957397 4294957697]
ok 7 - twin_primes(1,11) should return [3 5 11]
ok 8 - twin_primes(134217228,134217728) should return [134217401 134217437]
ok 9 - twin_primes(2,11) should return [3 5 11]
ok 10 - twin_primes(5,16) should return [5 11]
ok 11 - twin_primes(3,11) should return [3 5 11]
ok 12 - twin_primes(5,12) should return [5 11]
ok 13 - twin_primes(6,10) should return []
ok 14 - twin_primes(4,11) should return [5 11]
ok 15 - twin_primes(29,31) should return [29]
ok 16 - twin_primes(5,13) should return [5 11]
ok 17 - twin_primes(5,11) should return [5 11]
ok
t/12-nextprime.t ............. 
1..314
ok 1 - next_prime 0 .. 3572
ok 2 - prev_prime 0 .. 3572
ok 3 - next prime of 2010733 is 2010733+148
ok 4 - prev prime of 2010733+148 is 2010733
ok 5 - next prime of 19609 is 19609+52
ok 6 - prev prime of 19609+52 is 19609
ok 7 - next prime of 360653 is 360653+96
ok 8 - prev prime of 360653+96 is 360653
ok 9 - next prime of 19608 is 19609
ok 10 - next prime of 19610 is 19661
ok 11 - next prime of 19660 is 19661
ok 12 - prev prime of 19662 is 19661
ok 13 - prev prime of 19660 is 19609
ok 14 - prev prime of 19610 is 19609
ok 15 - next prime of 10019 is 10037
ok 16 - Previous prime of 2 returns undef
ok 17 - Next prime of ~0-4 returns bigint next prime
ok 18 - next_prime(2010733) == 2010881
ok 19 - next_prime(2010734) == 2010881
ok 20 - next_prime(2010735) == 2010881
ok 21 - next_prime(2010736) == 2010881
ok 22 - next_prime(2010737) == 2010881
ok 23 - next_prime(2010738) == 2010881
ok 24 - next_prime(2010739) == 2010881
ok 25 - next_prime(2010740) == 2010881
ok 26 - next_prime(2010741) == 2010881
ok 27 - next_prime(2010742) == 2010881
ok 28 - next_prime(2010743) == 2010881
ok 29 - next_prime(2010744) == 2010881
ok 30 - next_prime(2010745) == 2010881
ok 31 - next_prime(2010746) == 2010881
ok 32 - next_prime(2010747) == 2010881
ok 33 - next_prime(2010748) == 2010881
ok 34 - next_prime(2010749) == 2010881
ok 35 - next_prime(2010750) == 2010881
ok 36 - next_prime(2010751) == 2010881
ok 37 - next_prime(2010752) == 2010881
ok 38 - next_prime(2010753) == 2010881
ok 39 - next_prime(2010754) == 2010881
ok 40 - next_prime(2010755) == 2010881
ok 41 - next_prime(2010756) == 2010881
ok 42 - next_prime(2010757) == 2010881
ok 43 - next_prime(2010758) == 2010881
ok 44 - next_prime(2010759) == 2010881
ok 45 - next_prime(2010760) == 2010881
ok 46 - next_prime(2010761) == 2010881
ok 47 - next_prime(2010762) == 2010881
ok 48 - next_prime(2010763) == 2010881
ok 49 - next_prime(2010764) == 2010881
ok 50 - next_prime(2010765) == 2010881
ok 51 - next_prime(2010766) == 2010881
ok 52 - next_prime(2010767) == 2010881
ok 53 - next_prime(2010768) == 2010881
ok 54 - next_prime(2010769) == 2010881
ok 55 - next_prime(2010770) == 2010881
ok 56 - next_prime(2010771) == 2010881
ok 57 - next_prime(2010772) == 2010881
ok 58 - next_prime(2010773) == 2010881
ok 59 - next_prime(2010774) == 2010881
ok 60 - next_prime(2010775) == 2010881
ok 61 - next_prime(2010776) == 2010881
ok 62 - next_prime(2010777) == 2010881
ok 63 - next_prime(2010778) == 2010881
ok 64 - next_prime(2010779) == 2010881
ok 65 - next_prime(2010780) == 2010881
ok 66 - next_prime(2010781) == 2010881
ok 67 - next_prime(2010782) == 2010881
ok 68 - next_prime(2010783) == 2010881
ok 69 - next_prime(2010784) == 2010881
ok 70 - next_prime(2010785) == 2010881
ok 71 - next_prime(2010786) == 2010881
ok 72 - next_prime(2010787) == 2010881
ok 73 - next_prime(2010788) == 2010881
ok 74 - next_prime(2010789) == 2010881
ok 75 - next_prime(2010790) == 2010881
ok 76 - next_prime(2010791) == 2010881
ok 77 - next_prime(2010792) == 2010881
ok 78 - next_prime(2010793) == 2010881
ok 79 - next_prime(2010794) == 2010881
ok 80 - next_prime(2010795) == 2010881
ok 81 - next_prime(2010796) == 2010881
ok 82 - next_prime(2010797) == 2010881
ok 83 - next_prime(2010798) == 2010881
ok 84 - next_prime(2010799) == 2010881
ok 85 - next_prime(2010800) == 2010881
ok 86 - next_prime(2010801) == 2010881
ok 87 - next_prime(2010802) == 2010881
ok 88 - next_prime(2010803) == 2010881
ok 89 - next_prime(2010804) == 2010881
ok 90 - next_prime(2010805) == 2010881
ok 91 - next_prime(2010806) == 2010881
ok 92 - next_prime(2010807) == 2010881
ok 93 - next_prime(2010808) == 2010881
ok 94 - next_prime(2010809) == 2010881
ok 95 - next_prime(2010810) == 2010881
ok 96 - next_prime(2010811) == 2010881
ok 97 - next_prime(2010812) == 2010881
ok 98 - next_prime(2010813) == 2010881
ok 99 - next_prime(2010814) == 2010881
ok 100 - next_prime(2010815) == 2010881
ok 101 - next_prime(2010816) == 2010881
ok 102 - next_prime(2010817) == 2010881
ok 103 - next_prime(2010818) == 2010881
ok 104 - next_prime(2010819) == 2010881
ok 105 - next_prime(2010820) == 2010881
ok 106 - next_prime(2010821) == 2010881
ok 107 - next_prime(2010822) == 2010881
ok 108 - next_prime(2010823) == 2010881
ok 109 - next_prime(2010824) == 2010881
ok 110 - next_prime(2010825) == 2010881
ok 111 - next_prime(2010826) == 2010881
ok 112 - next_prime(2010827) == 2010881
ok 113 - next_prime(2010828) == 2010881
ok 114 - next_prime(2010829) == 2010881
ok 115 - next_prime(2010830) == 2010881
ok 116 - next_prime(2010831) == 2010881
ok 117 - next_prime(2010832) == 2010881
ok 118 - next_prime(2010833) == 2010881
ok 119 - next_prime(2010834) == 2010881
ok 120 - next_prime(2010835) == 2010881
ok 121 - next_prime(2010836) == 2010881
ok 122 - next_prime(2010837) == 2010881
ok 123 - next_prime(2010838) == 2010881
ok 124 - next_prime(2010839) == 2010881
ok 125 - next_prime(2010840) == 2010881
ok 126 - next_prime(2010841) == 2010881
ok 127 - next_prime(2010842) == 2010881
ok 128 - next_prime(2010843) == 2010881
ok 129 - next_prime(2010844) == 2010881
ok 130 - next_prime(2010845) == 2010881
ok 131 - next_prime(2010846) == 2010881
ok 132 - next_prime(2010847) == 2010881
ok 133 - next_prime(2010848) == 2010881
ok 134 - next_prime(2010849) == 2010881
ok 135 - next_prime(2010850) == 2010881
ok 136 - next_prime(2010851) == 2010881
ok 137 - next_prime(2010852) == 2010881
ok 138 - next_prime(2010853) == 2010881
ok 139 - next_prime(2010854) == 2010881
ok 140 - next_prime(2010855) == 2010881
ok 141 - next_prime(2010856) == 2010881
ok 142 - next_prime(2010857) == 2010881
ok 143 - next_prime(2010858) == 2010881
ok 144 - next_prime(2010859) == 2010881
ok 145 - next_prime(2010860) == 2010881
ok 146 - next_prime(2010861) == 2010881
ok 147 - next_prime(2010862) == 2010881
ok 148 - next_prime(2010863) == 2010881
ok 149 - next_prime(2010864) == 2010881
ok 150 - next_prime(2010865) == 2010881
ok 151 - next_prime(2010866) == 2010881
ok 152 - next_prime(2010867) == 2010881
ok 153 - next_prime(2010868) == 2010881
ok 154 - next_prime(2010869) == 2010881
ok 155 - next_prime(2010870) == 2010881
ok 156 - next_prime(2010871) == 2010881
ok 157 - next_prime(2010872) == 2010881
ok 158 - next_prime(2010873) == 2010881
ok 159 - next_prime(2010874) == 2010881
ok 160 - next_prime(2010875) == 2010881
ok 161 - next_prime(2010876) == 2010881
ok 162 - next_prime(2010877) == 2010881
ok 163 - next_prime(2010878) == 2010881
ok 164 - next_prime(2010879) == 2010881
ok 165 - next_prime(2010880) == 2010881
ok 166 - prev_prime(2010734) == 2010733
ok 167 - prev_prime(2010735) == 2010733
ok 168 - prev_prime(2010736) == 2010733
ok 169 - prev_prime(2010737) == 2010733
ok 170 - prev_prime(2010738) == 2010733
ok 171 - prev_prime(2010739) == 2010733
ok 172 - prev_prime(2010740) == 2010733
ok 173 - prev_prime(2010741) == 2010733
ok 174 - prev_prime(2010742) == 2010733
ok 175 - prev_prime(2010743) == 2010733
ok 176 - prev_prime(2010744) == 2010733
ok 177 - prev_prime(2010745) == 2010733
ok 178 - prev_prime(2010746) == 2010733
ok 179 - prev_prime(2010747) == 2010733
ok 180 - prev_prime(2010748) == 2010733
ok 181 - prev_prime(2010749) == 2010733
ok 182 - prev_prime(2010750) == 2010733
ok 183 - prev_prime(2010751) == 2010733
ok 184 - prev_prime(2010752) == 2010733
ok 185 - prev_prime(2010753) == 2010733
ok 186 - prev_prime(2010754) == 2010733
ok 187 - prev_prime(2010755) == 2010733
ok 188 - prev_prime(2010756) == 2010733
ok 189 - prev_prime(2010757) == 2010733
ok 190 - prev_prime(2010758) == 2010733
ok 191 - prev_prime(2010759) == 2010733
ok 192 - prev_prime(2010760) == 2010733
ok 193 - prev_prime(2010761) == 2010733
ok 194 - prev_prime(2010762) == 2010733
ok 195 - prev_prime(2010763) == 2010733
ok 196 - prev_prime(2010764) == 2010733
ok 197 - prev_prime(2010765) == 2010733
ok 198 - prev_prime(2010766) == 2010733
ok 199 - prev_prime(2010767) == 2010733
ok 200 - prev_prime(2010768) == 2010733
ok 201 - prev_prime(2010769) == 2010733
ok 202 - prev_prime(2010770) == 2010733
ok 203 - prev_prime(2010771) == 2010733
ok 204 - prev_prime(2010772) == 2010733
ok 205 - prev_prime(2010773) == 2010733
ok 206 - prev_prime(2010774) == 2010733
ok 207 - prev_prime(2010775) == 2010733
ok 208 - prev_prime(2010776) == 2010733
ok 209 - prev_prime(2010777) == 2010733
ok 210 - prev_prime(2010778) == 2010733
ok 211 - prev_prime(2010779) == 2010733
ok 212 - prev_prime(2010780) == 2010733
ok 213 - prev_prime(2010781) == 2010733
ok 214 - prev_prime(2010782) == 2010733
ok 215 - prev_prime(2010783) == 2010733
ok 216 - prev_prime(2010784) == 2010733
ok 217 - prev_prime(2010785) == 2010733
ok 218 - prev_prime(2010786) == 2010733
ok 219 - prev_prime(2010787) == 2010733
ok 220 - prev_prime(2010788) == 2010733
ok 221 - prev_prime(2010789) == 2010733
ok 222 - prev_prime(2010790) == 2010733
ok 223 - prev_prime(2010791) == 2010733
ok 224 - prev_prime(2010792) == 2010733
ok 225 - prev_prime(2010793) == 2010733
ok 226 - prev_prime(2010794) == 2010733
ok 227 - prev_prime(2010795) == 2010733
ok 228 - prev_prime(2010796) == 2010733
ok 229 - prev_prime(2010797) == 2010733
ok 230 - prev_prime(2010798) == 2010733
ok 231 - prev_prime(2010799) == 2010733
ok 232 - prev_prime(2010800) == 2010733
ok 233 - prev_prime(2010801) == 2010733
ok 234 - prev_prime(2010802) == 2010733
ok 235 - prev_prime(2010803) == 2010733
ok 236 - prev_prime(2010804) == 2010733
ok 237 - prev_prime(2010805) == 2010733
ok 238 - prev_prime(2010806) == 2010733
ok 239 - prev_prime(2010807) == 2010733
ok 240 - prev_prime(2010808) == 2010733
ok 241 - prev_prime(2010809) == 2010733
ok 242 - prev_prime(2010810) == 2010733
ok 243 - prev_prime(2010811) == 2010733
ok 244 - prev_prime(2010812) == 2010733
ok 245 - prev_prime(2010813) == 2010733
ok 246 - prev_prime(2010814) == 2010733
ok 247 - prev_prime(2010815) == 2010733
ok 248 - prev_prime(2010816) == 2010733
ok 249 - prev_prime(2010817) == 2010733
ok 250 - prev_prime(2010818) == 2010733
ok 251 - prev_prime(2010819) == 2010733
ok 252 - prev_prime(2010820) == 2010733
ok 253 - prev_prime(2010821) == 2010733
ok 254 - prev_prime(2010822) == 2010733
ok 255 - prev_prime(2010823) == 2010733
ok 256 - prev_prime(2010824) == 2010733
ok 257 - prev_prime(2010825) == 2010733
ok 258 - prev_prime(2010826) == 2010733
ok 259 - prev_prime(2010827) == 2010733
ok 260 - prev_prime(2010828) == 2010733
ok 261 - prev_prime(2010829) == 2010733
ok 262 - prev_prime(2010830) == 2010733
ok 263 - prev_prime(2010831) == 2010733
ok 264 - prev_prime(2010832) == 2010733
ok 265 - prev_prime(2010833) == 2010733
ok 266 - prev_prime(2010834) == 2010733
ok 267 - prev_prime(2010835) == 2010733
ok 268 - prev_prime(2010836) == 2010733
ok 269 - prev_prime(2010837) == 2010733
ok 270 - prev_prime(2010838) == 2010733
ok 271 - prev_prime(2010839) == 2010733
ok 272 - prev_prime(2010840) == 2010733
ok 273 - prev_prime(2010841) == 2010733
ok 274 - prev_prime(2010842) == 2010733
ok 275 - prev_prime(2010843) == 2010733
ok 276 - prev_prime(2010844) == 2010733
ok 277 - prev_prime(2010845) == 2010733
ok 278 - prev_prime(2010846) == 2010733
ok 279 - prev_prime(2010847) == 2010733
ok 280 - prev_prime(2010848) == 2010733
ok 281 - prev_prime(2010849) == 2010733
ok 282 - prev_prime(2010850) == 2010733
ok 283 - prev_prime(2010851) == 2010733
ok 284 - prev_prime(2010852) == 2010733
ok 285 - prev_prime(2010853) == 2010733
ok 286 - prev_prime(2010854) == 2010733
ok 287 - prev_prime(2010855) == 2010733
ok 288 - prev_prime(2010856) == 2010733
ok 289 - prev_prime(2010857) == 2010733
ok 290 - prev_prime(2010858) == 2010733
ok 291 - prev_prime(2010859) == 2010733
ok 292 - prev_prime(2010860) == 2010733
ok 293 - prev_prime(2010861) == 2010733
ok 294 - prev_prime(2010862) == 2010733
ok 295 - prev_prime(2010863) == 2010733
ok 296 - prev_prime(2010864) == 2010733
ok 297 - prev_prime(2010865) == 2010733
ok 298 - prev_prime(2010866) == 2010733
ok 299 - prev_prime(2010867) == 2010733
ok 300 - prev_prime(2010868) == 2010733
ok 301 - prev_prime(2010869) == 2010733
ok 302 - prev_prime(2010870) == 2010733
ok 303 - prev_prime(2010871) == 2010733
ok 304 - prev_prime(2010872) == 2010733
ok 305 - prev_prime(2010873) == 2010733
ok 306 - prev_prime(2010874) == 2010733
ok 307 - prev_prime(2010875) == 2010733
ok 308 - prev_prime(2010876) == 2010733
ok 309 - prev_prime(2010877) == 2010733
ok 310 - prev_prime(2010878) == 2010733
ok 311 - prev_prime(2010879) == 2010733
ok 312 - prev_prime(2010880) == 2010733
ok 313 - prev_prime(2010881) == 2010733
ok 314 - next_prime(1234567890) == 1234567891)
ok
t/13-primecount.t ............ 
1..186
ok 1 - prime_count in void context
ok 2 - Pi(1000000000) <= upper estimate
ok 3 - Pi(1000000000) >= lower estimate
ok 4 - prime_count_approx(1000000000) within 500
ok 5 - Pi(1000000) <= upper estimate
ok 6 - Pi(1000000) >= lower estimate
ok 7 - prime_count_approx(1000000) within 100
ok 8 - Pi(1) <= upper estimate
ok 9 - Pi(1) >= lower estimate
ok 10 - prime_count_approx(1) within 100
ok 11 - Pi(16777215) <= upper estimate
ok 12 - Pi(16777215) >= lower estimate
ok 13 - prime_count_approx(16777215) within 100
ok 14 - Pi(4294967295) <= upper estimate
ok 15 - Pi(4294967295) >= lower estimate
ok 16 - prime_count_approx(4294967295) within 500
ok 17 - Pi(10000000) <= upper estimate
ok 18 - Pi(10000000) >= lower estimate
ok 19 - prime_count_approx(10000000) within 100
ok 20 - Pi(60067) <= upper estimate
ok 21 - Pi(60067) >= lower estimate
ok 22 - prime_count_approx(60067) within 100
ok 23 - Pi(100000) <= upper estimate
ok 24 - Pi(100000) >= lower estimate
ok 25 - prime_count_approx(100000) within 100
ok 26 - Pi(65535) <= upper estimate
ok 27 - Pi(65535) >= lower estimate
ok 28 - prime_count_approx(65535) within 100
ok 29 - Pi(100000000) <= upper estimate
ok 30 - Pi(100000000) >= lower estimate
ok 31 - prime_count_approx(100000000) within 100
ok 32 - Pi(10) <= upper estimate
ok 33 - Pi(10) >= lower estimate
ok 34 - prime_count_approx(10) within 100
ok 35 - Pi(1000) <= upper estimate
ok 36 - Pi(1000) >= lower estimate
ok 37 - prime_count_approx(1000) within 100
ok 38 - Pi(2147483647) <= upper estimate
ok 39 - Pi(2147483647) >= lower estimate
ok 40 - prime_count_approx(2147483647) within 500
ok 41 - Pi(30239) <= upper estimate
ok 42 - Pi(30239) >= lower estimate
ok 43 - prime_count_approx(30239) within 100
ok 44 - Pi(30249) <= upper estimate
ok 45 - Pi(30249) >= lower estimate
ok 46 - prime_count_approx(30249) within 100
ok 47 - Pi(100) <= upper estimate
ok 48 - Pi(100) >= lower estimate
ok 49 - prime_count_approx(100) within 100
ok 50 - Pi(10000) <= upper estimate
ok 51 - Pi(10000) >= lower estimate
ok 52 - prime_count_approx(10000) within 100
ok 53 - Pi(100) = 25
ok 54 - Pi(65535) = 6542
ok 55 - Pi(10000) = 1229
ok 56 - Pi(30239) = 3269
ok 57 - Pi(1000000) = 78498
ok 58 - Pi(1) = 0
ok 59 - Pi(1000) = 168
ok 60 - Pi(10) = 4
ok 61 - Pi(30249) = 3270
ok 62 - Pi(60067) = 6062
ok 63 - Pi(100000) = 9592
ok 64 - Pi(18446744073709551615) <= upper estimate
ok 65 - Pi(18446744073709551615) >= lower estimate
ok 66 - prime_count_approx(18446744073709551615) within 0.0005% of Pi(18446744073709551615)
ok 67 - Pi(10000000000000) <= upper estimate
ok 68 - Pi(10000000000000) >= lower estimate
ok 69 - prime_count_approx(10000000000000) within 0.0005% of Pi(10000000000000)
ok 70 - Pi(10000000000000000000) <= upper estimate
ok 71 - Pi(10000000000000000000) >= lower estimate
ok 72 - prime_count_approx(10000000000000000000) within 0.0005% of Pi(10000000000000000000)
ok 73 - Pi(100000000000) <= upper estimate
ok 74 - Pi(100000000000) >= lower estimate
ok 75 - prime_count_approx(100000000000) within 0.0005% of Pi(100000000000)
ok 76 - Pi(1000000000000000) <= upper estimate
ok 77 - Pi(1000000000000000) >= lower estimate
ok 78 - prime_count_approx(1000000000000000) within 0.0005% of Pi(1000000000000000)
ok 79 - Pi(10000000000000000) <= upper estimate
ok 80 - Pi(10000000000000000) >= lower estimate
ok 81 - prime_count_approx(10000000000000000) within 0.0005% of Pi(10000000000000000)
ok 82 - Pi(1152921504606846975) <= upper estimate
ok 83 - Pi(1152921504606846975) >= lower estimate
ok 84 - prime_count_approx(1152921504606846975) within 0.0005% of Pi(1152921504606846975)
ok 85 - Pi(1000000000000000000) <= upper estimate
ok 86 - Pi(1000000000000000000) >= lower estimate
ok 87 - prime_count_approx(1000000000000000000) within 0.0005% of Pi(1000000000000000000)
ok 88 - Pi(1099511627775) <= upper estimate
ok 89 - Pi(1099511627775) >= lower estimate
ok 90 - prime_count_approx(1099511627775) within 0.0005% of Pi(1099511627775)
ok 91 - Pi(4503599627370495) <= upper estimate
ok 92 - Pi(4503599627370495) >= lower estimate
ok 93 - prime_count_approx(4503599627370495) within 0.0005% of Pi(4503599627370495)
ok 94 - Pi(10000000000) <= upper estimate
ok 95 - Pi(10000000000) >= lower estimate
ok 96 - prime_count_approx(10000000000) within 0.0005% of Pi(10000000000)
ok 97 - Pi(72057594037927935) <= upper estimate
ok 98 - Pi(72057594037927935) >= lower estimate
ok 99 - prime_count_approx(72057594037927935) within 0.0005% of Pi(72057594037927935)
ok 100 - Pi(100000000000000) <= upper estimate
ok 101 - Pi(100000000000000) >= lower estimate
ok 102 - prime_count_approx(100000000000000) within 0.0005% of Pi(100000000000000)
ok 103 - Pi(100000000000000000) <= upper estimate
ok 104 - Pi(100000000000000000) >= lower estimate
ok 105 - prime_count_approx(100000000000000000) within 0.0005% of Pi(100000000000000000)
ok 106 - Pi(68719476735) <= upper estimate
ok 107 - Pi(68719476735) >= lower estimate
ok 108 - prime_count_approx(68719476735) within 0.0005% of Pi(68719476735)
ok 109 - Pi(281474976710655) <= upper estimate
ok 110 - Pi(281474976710655) >= lower estimate
ok 111 - prime_count_approx(281474976710655) within 0.0005% of Pi(281474976710655)
ok 112 - Pi(17592186044415) <= upper estimate
ok 113 - Pi(17592186044415) >= lower estimate
ok 114 - prime_count_approx(17592186044415) within 0.0005% of Pi(17592186044415)
ok 115 - Pi(1000000000000) <= upper estimate
ok 116 - Pi(1000000000000) >= lower estimate
ok 117 - prime_count_approx(1000000000000) within 0.0005% of Pi(1000000000000)
ok 118 - prime_count(191912783 +248) = 2
ok 119 - prime_count(127976334671 +468) = 2
ok 120 - prime_count(3 to 15000) = 1753
ok 121 - prime_count(191912784 +247) = 1
ok 122 - prime_count(127976334672 +467) = 1
ok 123 - prime_count(191912784 +246) = 0
ok 124 - prime_count(1118105 to 9961674) = 575195
ok 125 - prime_count(127976334672 +466) = 0
ok 126 - prime_count(4 to 17) = 5
ok 127 - prime_count(0 to 1) = 0
ok 128 - prime_count(127976334671 +467) = 1
ok 129 - prime_count(1e10 +2**16) = 2821
ok 130 - prime_count(0 to 2) = 1
ok 131 - prime_count(24689 to 7973249) = 535368
ok 132 - prime_count(1e14 +2**16) = 1973
ok 133 - prime_count(868396 to 9478505) = 563275
ok 134 - prime_count(4 to 16) = 4
ok 135 - prime_count(1 to 3) = 2
ok 136 - prime_count(7 to 54321) = 5522
ok 137 - prime_count(191912783 +247) = 1
ok 138 - prime_count(17 to 13) = 0
ok 139 - prime_count(3 to 17) = 6
ok 140 - prime_count(130066574) = 7381740
ok 141 - XS LMO count
ok 142 - XS segment count
ok 143 - require Math::Prime::Util::PP;
ok 144 - PP Lehmer count
ok 145 - PP sieve count
ok 146 - twin prime count 13 to 31
ok 147 - twin prime count 10^8 to +34587
ok 148 - twin prime count 654321
ok 149 - twin prime count 1000000000123456
ok 150 - twin prime count 50000000000000
ok 151 - twin_prime_count_approx(50000000000000) is 0.000103%
ok 152 - twin prime count 50000000
ok 153 - twin_prime_count_approx(50000000) is 0.002091%
ok 154 - twin prime count 500000
ok 155 - twin_prime_count_approx(500000) is 0.240964%
ok 156 - twin prime count 5000000000
ok 157 - twin_prime_count_approx(5000000000) is 0.002004%
ok 158 - twin prime count 5000
ok 159 - twin_prime_count_approx(5000) is 0.000000%
ok 160 - twin prime count 5000000000000000
ok 161 - twin_prime_count_approx(5000000000000000) is 0.000025%
ok 162 - twin prime count 500000000000
ok 163 - twin_prime_count_approx(500000000000) is 0.001407%
ok 164 - semiprime count 13 to 31
ok 165 - semiprime count 654321
ok 166 - semiprime count 10^8 to +34587
ok 167 - semiprime count 10000123456
ok 168 - semiprime count 500000000
ok 169 - semiprime count 50000
ok 170 - semiprime count 500000
ok 171 - semiprime count 50000000
ok 172 - semiprime count 2048
ok 173 - semiprime count 8192
ok 174 - semiprime count 5000
ok 175 - semiprime count 5000000
ok 176 - semiprime count 5000000000
ok 177 - Ramanujan prime count 13 to 31
ok 178 - Ramanujan prime count 1357
ok 179 - Ramanujan prime count 10^8 to +34587
ok 180 - Ramanujan prime count 654321
ok 181 - Ramanujan prime count 65536
ok 182 - Ramanujan prime count 135791
ok 183 - Ramanujan prime count 50000
ok 184 - Ramanujan prime count 5000
ok 185 - Ramanujan prime count 5000000
ok 186 - Ramanujan prime count 500000
ok
t/14-nthprime.t .............. 
1..130
ok 1 - nth_prime(1229) <= 10000
ok 2 - nth_prime(1230) >= 10000
ok 3 - nth_prime(9592) <= 100000
ok 4 - nth_prime(9593) >= 100000
ok 5 - nth_prime(0) <= 1
ok 6 - nth_prime(1) >= 1
ok 7 - nth_prime(4) <= 10
ok 8 - nth_prime(5) >= 10
ok 9 - nth_prime(78498) <= 1000000
ok 10 - nth_prime(78499) >= 1000000
ok 11 - nth_prime(25) <= 100
ok 12 - nth_prime(26) >= 100
ok 13 - nth_prime(168) <= 1000
ok 14 - nth_prime(169) >= 1000
ok 15 - nth_prime for primes 0 .. 1000
ok 16 - nth_prime(10000) <= upper estimate
ok 17 - nth_prime(10000) >= lower estimate
ok 18 - nth_prime_approx(10000) = 104768 within 1% of 104729
ok 19 - nth_prime(6305543) <= upper estimate
ok 20 - nth_prime(6305543) >= lower estimate
ok 21 - nth_prime_approx(6305543) = 110047628 within 1% of 110040503
ok 22 - nth_prime(10) <= upper estimate
ok 23 - nth_prime(10) >= lower estimate
ok 24 - nth_prime_approx(10) = 29 within 2% of 29
ok 25 - nth_prime(6305539) <= upper estimate
ok 26 - nth_prime(6305539) >= lower estimate
ok 27 - nth_prime_approx(6305539) = 110047554 within 1% of 110040391
ok 28 - nth_prime(10000000) <= upper estimate
ok 29 - nth_prime(10000000) >= lower estimate
ok 30 - nth_prime_approx(10000000) = 179431239 within 1% of 179424673
ok 31 - nth_prime(6305541) <= upper estimate
ok 32 - nth_prime(6305541) >= lower estimate
ok 33 - nth_prime_approx(6305541) = 110047591 within 1% of 110040467
ok 34 - nth_prime(6305537) <= upper estimate
ok 35 - nth_prime(6305537) >= lower estimate
ok 36 - nth_prime_approx(6305537) = 110047517 within 1% of 110040379
ok 37 - nth_prime(6305538) <= upper estimate
ok 38 - nth_prime(6305538) >= lower estimate
ok 39 - nth_prime_approx(6305538) = 110047536 within 1% of 110040383
ok 40 - nth_prime(100000) <= upper estimate
ok 41 - nth_prime(100000) >= lower estimate
ok 42 - nth_prime_approx(100000) = 1299734 within 1% of 1299709
ok 43 - nth_prime(6305542) <= upper estimate
ok 44 - nth_prime(6305542) >= lower estimate
ok 45 - nth_prime_approx(6305542) = 110047610 within 1% of 110040499
ok 46 - nth_prime(100000000) <= upper estimate
ok 47 - nth_prime(100000000) >= lower estimate
ok 48 - nth_prime_approx(100000000) = 2038076588 within 1% of 2038074743
ok 49 - nth_prime(1000000) <= upper estimate
ok 50 - nth_prime(1000000) >= lower estimate
ok 51 - nth_prime_approx(1000000) = 15484040 within 1% of 15485863
ok 52 - nth_prime(100) <= upper estimate
ok 53 - nth_prime(100) >= lower estimate
ok 54 - nth_prime_approx(100) = 537 within 2% of 541
ok 55 - nth_prime(1) <= upper estimate
ok 56 - nth_prime(1) >= lower estimate
ok 57 - nth_prime_approx(1) = 2 within 2% of 2
ok 58 - nth_prime(6305540) <= upper estimate
ok 59 - nth_prime(6305540) >= lower estimate
ok 60 - nth_prime_approx(6305540) = 110047573 within 1% of 110040407
ok 61 - nth_prime(1000) <= upper estimate
ok 62 - nth_prime(1000) >= lower estimate
ok 63 - nth_prime_approx(1000) = 7923 within 1% of 7919
ok 64 - nth_prime(6305539) = 110040391
ok 65 - nth_prime(10) = 29
ok 66 - nth_prime(6305543) = 110040503
ok 67 - nth_prime(10000) = 104729
ok 68 - nth_prime(6305538) = 110040383
ok 69 - nth_prime(6305537) = 110040379
ok 70 - nth_prime(6305541) = 110040467
ok 71 - nth_prime(10000000) = 179424673
ok 72 - nth_prime(6305540) = 110040407
ok 73 - nth_prime(1) = 2
ok 74 - nth_prime(1000000) = 15485863
ok 75 - nth_prime(100) = 541
ok 76 - nth_prime(100000) = 1299709
ok 77 - nth_prime(6305542) = 110040499
ok 78 - nth_prime(1000) = 7919
ok 79 - nth_prime(100000000000000000) <= upper estimate
ok 80 - nth_prime(100000000000000000) >= lower estimate
ok 81 - nth_prime_approx(100000000000000000) = 4185296581676461056 within 0.001% of 4185296581467695669
ok 82 - nth_prime(10000000000000000) <= upper estimate
ok 83 - nth_prime(10000000000000000) >= lower estimate
ok 84 - nth_prime_approx(10000000000000000) = 394906913798225088 within 0.001% of 394906913903735329
ok 85 - nth_prime(1000000000000000) <= upper estimate
ok 86 - nth_prime(1000000000000000) >= lower estimate
ok 87 - nth_prime_approx(1000000000000000) = 37124508056355616 within 0.001% of 37124508045065437
ok 88 - nth_prime(10000000000) <= upper estimate
ok 89 - nth_prime(10000000000) >= lower estimate
ok 90 - nth_prime_approx(10000000000) = 252097715777 within 0.001% of 252097800623
ok 91 - nth_prime(100000000000) <= upper estimate
ok 92 - nth_prime(100000000000) >= lower estimate
ok 93 - nth_prime_approx(100000000000) = 2760727752353 within 0.001% of 2760727302517
ok 94 - nth_prime(10000000000000) <= upper estimate
ok 95 - nth_prime(10000000000000) >= lower estimate
ok 96 - nth_prime_approx(10000000000000) = 323780512411509 within 0.001% of 323780508946331
ok 97 - nth_prime(1000000000000) <= upper estimate
ok 98 - nth_prime(1000000000000) >= lower estimate
ok 99 - nth_prime_approx(1000000000000) = 29996225393466 within 0.001% of 29996224275833
ok 100 - nth_prime(100000000000000) <= upper estimate
ok 101 - nth_prime(100000000000000) >= lower estimate
ok 102 - nth_prime_approx(100000000000000) = 3475385760290728 within 0.001% of 3475385758524527
ok 103 - nth_prime(1000000000) <= upper estimate
ok 104 - nth_prime(1000000000) >= lower estimate
ok 105 - nth_prime_approx(1000000000) = 22801797576 within 0.001% of 22801763489
ok 106 - nth_prime_lower(maxindex) <= maxprime
ok 107 - nth_prime_upper(maxindex) >= maxprime
ok 108 - nth_prime_lower(maxindex+1) >= nth_prime_lower(maxindex)
ok 109 - nth_twin_prime(0) = undef
ok 110 - 239 = 17th twin prime
ok 111 - 101207 = 1234'th twin prime
ok 112 - nth_twin_prime_approx(50000) is 0.075983% (got 8258677, expected ~8264957)
ok 113 - nth_twin_prime_approx(500000) is 0.007471% (got 115447292, expected ~115438667)
ok 114 - nth_twin_prime_approx(5) is 0.000000% (got 29, expected ~29)
ok 115 - nth_twin_prime_approx(500000000) is 0.000863% (got 239213224566, expected ~239211160649)
ok 116 - nth_twin_prime_approx(50) is 0.000000% (got 1487, expected ~1487)
ok 117 - nth_twin_prime_approx(500) is 0.129586% (got 32453, expected ~32411)
ok 118 - nth_twin_prime_approx(5000000) is 0.042488% (got 1523328396, expected ~1523975909)
ok 119 - nth_twin_prime_approx(5000) is 0.144031% (got 556716, expected ~557519)
ok 120 - nth_twin_prime_approx(50000000) is 0.008989% (got 19359834010, expected ~19358093939)
ok 121 - nth_semiprime(0) = undef
ok 122 - nth_semiprime(1 .. 153)
ok 123 - nth_semiprime(1234) = 4497
ok 124 - nth_semiprime(123456) = 573355
ok 125 - nth_semiprime(1234567) = 6365389
ok 126 - nth_semiprime(12345) = 51019
ok 127 - nth_semiprime(12345678) = 69914722
ok 128 - inverse_li: Li^-1(0..50)
ok 129 - inverse_li(1e9)
ok 130 - inverse_li(11e11)
ok
t/15-probprime.t ............. 
1..127
ok 1 - is_prob_prime(undef)
ok 2 - 2 is prime
ok 3 - 1 is not prime
ok 4 - 0 is not prime
ok 5 - -1 is not prime
ok 6 - -2 is not prime
ok 7 - is_prob_prime powers of 2
ok 8 - is_prob_prime 0..3572
ok 9 - 4033 is composite
ok 10 - 4369 is composite
ok 11 - 4371 is composite
ok 12 - 4681 is composite
ok 13 - 5461 is composite
ok 14 - 5611 is composite
ok 15 - 6601 is composite
ok 16 - 7813 is composite
ok 17 - 7957 is composite
ok 18 - 8321 is composite
ok 19 - 8401 is composite
ok 20 - 8911 is composite
ok 21 - 10585 is composite
ok 22 - 12403 is composite
ok 23 - 13021 is composite
ok 24 - 14981 is composite
ok 25 - 15751 is composite
ok 26 - 15841 is composite
ok 27 - 16531 is composite
ok 28 - 18721 is composite
ok 29 - 19345 is composite
ok 30 - 23521 is composite
ok 31 - 24211 is composite
ok 32 - 25351 is composite
ok 33 - 29341 is composite
ok 34 - 29539 is composite
ok 35 - 31621 is composite
ok 36 - 38081 is composite
ok 37 - 40501 is composite
ok 38 - 41041 is composite
ok 39 - 44287 is composite
ok 40 - 44801 is composite
ok 41 - 46657 is composite
ok 42 - 47197 is composite
ok 43 - 52633 is composite
ok 44 - 53971 is composite
ok 45 - 55969 is composite
ok 46 - 62745 is composite
ok 47 - 63139 is composite
ok 48 - 63973 is composite
ok 49 - 74593 is composite
ok 50 - 75361 is composite
ok 51 - 79003 is composite
ok 52 - 79381 is composite
ok 53 - 82513 is composite
ok 54 - 87913 is composite
ok 55 - 88357 is composite
ok 56 - 88573 is composite
ok 57 - 97567 is composite
ok 58 - 101101 is composite
ok 59 - 340561 is composite
ok 60 - 488881 is composite
ok 61 - 852841 is composite
ok 62 - 1373653 is composite
ok 63 - 1857241 is composite
ok 64 - 6733693 is composite
ok 65 - 9439201 is composite
ok 66 - 17236801 is composite
ok 67 - 23382529 is composite
ok 68 - 25326001 is composite
ok 69 - 34657141 is composite
ok 70 - 56052361 is composite
ok 71 - 146843929 is composite
ok 72 - 216821881 is composite
ok 73 - 3215031751 is composite
ok 74 - 2152302898747 is composite
ok 75 - 3474749660383 is composite
ok 76 - 341550071728321 is composite
ok 77 - 341550071728321 is composite
ok 78 - 3825123056546413051 is composite
ok 79 - 9551 is definitely prime
ok 80 - 15683 is definitely prime
ok 81 - 19609 is definitely prime
ok 82 - 31397 is definitely prime
ok 83 - 155921 is definitely prime
ok 84 - 9587 is definitely prime
ok 85 - 15727 is definitely prime
ok 86 - 19661 is definitely prime
ok 87 - 31469 is definitely prime
ok 88 - 156007 is definitely prime
ok 89 - 360749 is definitely prime
ok 90 - 370373 is definitely prime
ok 91 - 492227 is definitely prime
ok 92 - 1349651 is definitely prime
ok 93 - 1357333 is definitely prime
ok 94 - 2010881 is definitely prime
ok 95 - 4652507 is definitely prime
ok 96 - 17051887 is definitely prime
ok 97 - 20831533 is definitely prime
ok 98 - 47326913 is definitely prime
ok 99 - 122164969 is definitely prime
ok 100 - 189695893 is definitely prime
ok 101 - 191913031 is definitely prime
ok 102 - 387096383 is definitely prime
ok 103 - 436273291 is definitely prime
ok 104 - 1294268779 is definitely prime
ok 105 - 1453168433 is definitely prime
ok 106 - 2300942869 is definitely prime
ok 107 - 3842611109 is definitely prime
ok 108 - 4302407713 is definitely prime
ok 109 - 10726905041 is definitely prime
ok 110 - 20678048681 is definitely prime
ok 111 - 22367085353 is definitely prime
ok 112 - 25056082543 is definitely prime
ok 113 - 42652618807 is definitely prime
ok 114 - 127976334671 is definitely prime
ok 115 - 182226896239 is definitely prime
ok 116 - 241160624143 is definitely prime
ok 117 - 297501075799 is definitely prime
ok 118 - 303371455241 is definitely prime
ok 119 - 304599508537 is definitely prime
ok 120 - 416608695821 is definitely prime
ok 121 - 461690510011 is definitely prime
ok 122 - 614487453523 is definitely prime
ok 123 - 738832927927 is definitely prime
ok 124 - 1346294310749 is definitely prime
ok 125 - 1408695493609 is definitely prime
ok 126 - 1968188556461 is definitely prime
ok 127 - 2614941710599 is definitely prime
ok
t/16-randomprime.t ........... 
1..183
ok 1 - random_prime(undef)
ok 2 - random_prime(-3)
ok 3 - random_prime(a)
ok 4 - random_prime(undef,undef)
ok 5 - random_prime(2,undef)
ok 6 - random_prime(2,a)
ok 7 - random_prime(undef,0)
ok 8 - random_prime(0,undef)
ok 9 - random_prime(2,undef)
ok 10 - random_prime(2,-4)
ok 11 - random_prime(2,+infinity)
ok 12 - random_prime(+infinity)
ok 13 - random_prime(-infinity)
ok 14 - random_ndigit_prime(0)
ok 15 - random_nbit_prime(0)
ok 16 - random_maurer_prime(0)
ok 17 - random_shawe_taylor_prime(0)
ok 18 - primes(0,0) should return undef
ok 19 - primes(3,2) should return undef
ok 20 - primes(0,1) should return undef
ok 21 - primes(3842610774,3842611108) should return undef
ok 22 - primes(2,1) should return undef
ok 23 - primes(1294268492,1294268778) should return undef
ok 24 - Prime in range 10-12 is indeed prime
ok 25 - random_prime(10,12) >= 11
ok 26 - random_prime(10,12) <= 11
ok 27 - Prime in range 2-3 is indeed prime
ok 28 - random_prime(2,3) >= 2
ok 29 - random_prime(2,3) <= 3
ok 30 - Prime in range 10-20 is indeed prime
ok 31 - random_prime(10,20) >= 11
ok 32 - random_prime(10,20) <= 19
ok 33 - Prime in range 3842610773-3842611109 is indeed prime
ok 34 - random_prime(3842610773,3842611109) >= 3842610773
ok 35 - random_prime(3842610773,3842611109) <= 3842611109
ok 36 - Prime in range 2-2 is indeed prime
ok 37 - random_prime(2,2) >= 2
ok 38 - random_prime(2,2) <= 2
ok 39 - Prime in range 16706142-16706144 is indeed prime
ok 40 - random_prime(16706142,16706144) >= 16706143
ok 41 - random_prime(16706142,16706144) <= 16706143
ok 42 - Prime in range 16706143-16706143 is indeed prime
ok 43 - random_prime(16706143,16706143) >= 16706143
ok 44 - random_prime(16706143,16706143) <= 16706143
ok 45 - Prime in range 3842610772-3842611110 is indeed prime
ok 46 - random_prime(3842610772,3842611110) >= 3842610773
ok 47 - random_prime(3842610772,3842611110) <= 3842611109
ok 48 - Prime in range 3-5 is indeed prime
ok 49 - random_prime(3,5) >= 3
ok 50 - random_prime(3,5) <= 5
ok 51 - Prime in range 0-2 is indeed prime
ok 52 - random_prime(0,2) >= 2
ok 53 - random_prime(0,2) <= 2
ok 54 - Prime in range 8-12 is indeed prime
ok 55 - random_prime(8,12) >= 11
ok 56 - random_prime(8,12) <= 11
ok 57 - All returned values for 2-20 were prime
ok 58 - All returned values for 2-20 were in the range
ok 59 - All returned values for 20-100 were prime
ok 60 - All returned values for 20-100 were in the range
ok 61 - All returned values for 3-7 were prime
ok 62 - All returned values for 3-7 were in the range
ok 63 - All returned values for 17051688-17051898 were prime
ok 64 - All returned values for 17051688-17051898 were in the range
ok 65 - All returned values for 5678-9876 were prime
ok 66 - All returned values for 5678-9876 were in the range
ok 67 - All returned values for 27767-88493 were prime
ok 68 - All returned values for 27767-88493 were in the range
ok 69 - All returned values for 27764-88493 were prime
ok 70 - All returned values for 27764-88493 were in the range
ok 71 - All returned values for 27767-88498 were prime
ok 72 - All returned values for 27767-88498 were in the range
ok 73 - All returned values for 17051687-17051899 were prime
ok 74 - All returned values for 17051687-17051899 were in the range
ok 75 - All returned values for 27764-88498 were prime
ok 76 - All returned values for 27764-88498 were in the range
ok 77 - All returned values for 2 were prime
ok 78 - All returned values for 2 were in the range
ok 79 - All returned values for 3 were prime
ok 80 - All returned values for 3 were in the range
ok 81 - All returned values for 4 were prime
ok 82 - All returned values for 4 were in the range
ok 83 - All returned values for 5 were prime
ok 84 - All returned values for 5 were in the range
ok 85 - All returned values for 6 were prime
ok 86 - All returned values for 6 were in the range
ok 87 - All returned values for 7 were prime
ok 88 - All returned values for 7 were in the range
ok 89 - All returned values for 8 were prime
ok 90 - All returned values for 8 were in the range
ok 91 - All returned values for 9 were prime
ok 92 - All returned values for 9 were in the range
ok 93 - All returned values for 100 were prime
ok 94 - All returned values for 100 were in the range
ok 95 - All returned values for 1000 were prime
ok 96 - All returned values for 1000 were in the range
ok 97 - All returned values for 1000000 were prime
ok 98 - All returned values for 1000000 were in the range
ok 99 - All returned values for 4294967295 were prime
ok 100 - All returned values for 4294967295 were in the range
ok 101 - 1-digit random prime '3' is in range and prime
ok 102 - 2-digit random prime '19' is in range and prime
ok 103 - 3-digit random prime '131' is in range and prime
ok 104 - 4-digit random prime '6841' is in range and prime
ok 105 - 5-digit random prime '95009' is in range and prime
ok 106 - 6-digit random prime '324223' is in range and prime
ok 107 - 7-digit random prime '1264573' is in range and prime
ok 108 - 8-digit random prime '14066369' is in range and prime
ok 109 - 9-digit random prime '701450279' is in range and prime
ok 110 - 10-digit random prime '7819505173' is in range and prime
ok 111 - 11-digit random prime '10567605029' is in range and prime
ok 112 - 12-digit random prime '804710053481' is in range and prime
ok 113 - 13-digit random prime '6798361631759' is in range and prime
ok 114 - 14-digit random prime '88226134070729' is in range and prime
ok 115 - 15-digit random prime '122926299554059' is in range and prime
ok 116 - 16-digit random prime '3229200429303143' is in range and prime
ok 117 - 17-digit random prime '54084452879325929' is in range and prime
ok 118 - 18-digit random prime '358430298730142183' is in range and prime
ok 119 - 19-digit random prime '2920580582694366413' is in range and prime
ok 120 - 20-digit random prime '44771473007584712237' is in range and prime
ok 121 - 2-bit random nbit prime '2' is in range and prime
ok 122 - 2-bit random Maurer prime '2' is in range and prime
ok 123 - 2-bit random Shawe-Taylor prime '2' is in range and prime
ok 124 - 2-bit random proven prime '3' is in range and prime
ok 125 - 3-bit random nbit prime '7' is in range and prime
ok 126 - 3-bit random Maurer prime '5' is in range and prime
ok 127 - 3-bit random Shawe-Taylor prime '5' is in range and prime
ok 128 - 3-bit random proven prime '7' is in range and prime
ok 129 - 4-bit random nbit prime '11' is in range and prime
ok 130 - 4-bit random Maurer prime '13' is in range and prime
ok 131 - 4-bit random Shawe-Taylor prime '13' is in range and prime
ok 132 - 4-bit random proven prime '13' is in range and prime
ok 133 - 5-bit random nbit prime '19' is in range and prime
ok 134 - 5-bit random Maurer prime '29' is in range and prime
ok 135 - 5-bit random Shawe-Taylor prime '29' is in range and prime
ok 136 - 5-bit random proven prime '29' is in range and prime
ok 137 - 6-bit random nbit prime '41' is in range and prime
ok 138 - 6-bit random Maurer prime '37' is in range and prime
ok 139 - 6-bit random Shawe-Taylor prime '47' is in range and prime
ok 140 - 6-bit random proven prime '59' is in range and prime
ok 141 - 10-bit random nbit prime '677' is in range and prime
ok 142 - 10-bit random Maurer prime '547' is in range and prime
ok 143 - 10-bit random Shawe-Taylor prime '947' is in range and prime
ok 144 - 10-bit random proven prime '751' is in range and prime
ok 145 - 15-bit random nbit prime '32119' is in range and prime
ok 146 - 15-bit random Maurer prime '27407' is in range and prime
ok 147 - 15-bit random Shawe-Taylor prime '19997' is in range and prime
ok 148 - 15-bit random proven prime '20359' is in range and prime
ok 149 - 16-bit random nbit prime '38611' is in range and prime
ok 150 - 16-bit random Maurer prime '60937' is in range and prime
ok 151 - 16-bit random Shawe-Taylor prime '50993' is in range and prime
ok 152 - 16-bit random proven prime '40841' is in range and prime
ok 153 - 17-bit random nbit prime '102229' is in range and prime
ok 154 - 17-bit random Maurer prime '83911' is in range and prime
ok 155 - 17-bit random Shawe-Taylor prime '107857' is in range and prime
ok 156 - 17-bit random proven prime '125399' is in range and prime
ok 157 - 28-bit random nbit prime '258977591' is in range and prime
ok 158 - 28-bit random Maurer prime '187824943' is in range and prime
ok 159 - 28-bit random Shawe-Taylor prime '143985707' is in range and prime
ok 160 - 28-bit random proven prime '214143263' is in range and prime
ok 161 - 32-bit random nbit prime '2209154587' is in range and prime
ok 162 - 32-bit random Maurer prime '3358858831' is in range and prime
ok 163 - 32-bit random Shawe-Taylor prime '2593092713' is in range and prime
ok 164 - 32-bit random proven prime '2300410771' is in range and prime
ok 165 - 34-bit random nbit prime '10293743303' is in range and prime
ok 166 - 34-bit random Maurer prime '15774970357' is in range and prime
ok 167 - 34-bit random Shawe-Taylor prime '9616440103' is in range and prime
ok 168 - 34-bit random proven prime '9898289747' is in range and prime
ok 169 - 75-bit random nbit prime '18946272441981748864571' is in range and prime
ok 170 - 75-bit random Maurer prime '35352213725139417990551' is in range and prime
ok 171 - 75-bit random Shawe-Taylor prime '32522327740739423317721' is in range and prime
ok 172 - 75-bit random proven prime '24812635374153239326667' is in range and prime
ok 173 - random 80-bit prime returns a BigInt
ok 174 - random 80-bit prime '732567419056357684717609' is in range
ok 175 - random 30-digit prime returns a BigInt
ok 176 - random 30-digit prime '262547936813813553895004532137' is in range
ok 177 - random_semiprime(3)
ok 178 - random_unrestricted_semiprime(2)
ok 179 - random_semiprime(4) = 9
ok 180 - random_unrestricted_semiprime(3) is 4 or 6
ok 181 - random_semiprime(26) is a 26-bit semiprime
ok 182 - random_semiprime(81) is 81 bits
ok 183 - random_unrestricted_semiprime(81) is 81 bits
ok
t/17-pseudoprime.t ........... 
1..108
ok 1 - MR with no base fails
ok 2 - MR base 0 fails
ok 3 - MR base 1 fails
ok 4 - MR with 0 shortcut composite
ok 5 - MR with 0 shortcut composite
ok 6 - MR with 2 shortcut prime
ok 7 - MR with 3 shortcut prime
ok 8 - Small strong pseudoprimes base 1005905886 (i.e. Miller-Rabin)
ok 9 - Small strong pseudoprimes base 11 (i.e. Miller-Rabin)
ok 10 - Small strong pseudoprimes base 13 (i.e. Miller-Rabin)
ok 11 - Small strong pseudoprimes base 1340600841 (i.e. Miller-Rabin)
ok 12 - Small strong pseudoprimes base 17 (i.e. Miller-Rabin)
ok 13 - Small strong pseudoprimes base 1795265022 (i.e. Miller-Rabin)
ok 14 - Small strong pseudoprimes base 19 (i.e. Miller-Rabin)
ok 15 - Small strong pseudoprimes base 2 (i.e. Miller-Rabin)
ok 16 - Small strong pseudoprimes base 203659041 (i.e. Miller-Rabin)
ok 17 - Small strong pseudoprimes base 23 (i.e. Miller-Rabin)
ok 18 - Small strong pseudoprimes base 28178 (i.e. Miller-Rabin)
ok 19 - Small strong pseudoprimes base 29 (i.e. Miller-Rabin)
ok 20 - Small strong pseudoprimes base 3 (i.e. Miller-Rabin)
ok 21 - Small strong pseudoprimes base 3046413974 (i.e. Miller-Rabin)
ok 22 - Small strong pseudoprimes base 31 (i.e. Miller-Rabin)
ok 23 - Small strong pseudoprimes base 325 (i.e. Miller-Rabin)
ok 24 - Small strong pseudoprimes base 3613982119 (i.e. Miller-Rabin)
ok 25 - Small strong pseudoprimes base 37 (i.e. Miller-Rabin)
ok 26 - Small strong pseudoprimes base 450775 (i.e. Miller-Rabin)
ok 27 - Small strong pseudoprimes base 5 (i.e. Miller-Rabin)
ok 28 - Small strong pseudoprimes base 553174392 (i.e. Miller-Rabin)
ok 29 - Small strong pseudoprimes base 61 (i.e. Miller-Rabin)
ok 30 - Small strong pseudoprimes base 642735 (i.e. Miller-Rabin)
ok 31 - Small strong pseudoprimes base 7 (i.e. Miller-Rabin)
ok 32 - Small strong pseudoprimes base 73 (i.e. Miller-Rabin)
ok 33 - Small strong pseudoprimes base 75088 (i.e. Miller-Rabin)
ok 34 - Small strong pseudoprimes base 9375 (i.e. Miller-Rabin)
ok 35 - Small strong pseudoprimes base 9780504 (i.e. Miller-Rabin)
ok 36 - Small almost extra strong Lucas pseudoprimes (inc 1)
ok 37 - Small almost extra strong Lucas pseudoprimes (inc 2)
ok 38 - Small Catalan pseudoprimes
ok 39 - Small Euler pseudoprimes base 2
ok 40 - Small Euler pseudoprimes base 29
ok 41 - Small Euler pseudoprimes base 3
ok 42 - Small extra strong Lucas pseudoprimes
ok 43 - Small Fibonacci pseudoprimes
ok 44 - Small Frobenius(3,-5) pseudoprimes
ok 45 - Small Frobenius(1,-1) pseudoprimes
ok 46 - Small Lucas pseudoprimes
ok 47 - Small Pell pseudoprimes
ok 48 - Small Unrestricted Perrin pseudoprimes
ok 49 - Small Euler-Plumb pseudoprimes
ok 50 - Small pseudoprimes base 2 (i.e. Fermat)
ok 51 - Small pseudoprimes base 3 (i.e. Fermat)
ok 52 - Small strong Lucas pseudoprimes
ok 53 - phi_1 passes MR with first 1 primes
ok 54 - phi_2 passes MR with first 2 primes
ok 55 - phi_3 passes MR with first 3 primes
ok 56 - phi_4 passes MR with first 4 primes
ok 57 - phi_5 passes MR with first 5 primes
ok 58 - phi_6 passes MR with first 6 primes
ok 59 - phi_7 passes MR with first 7 primes
ok 60 - phi_8 passes MR with first 8 primes
ok 61 - MR base 2 matches is_prime for 2-4032 (excl 2047,3277)
ok 62 - spsp(  3,    3)
ok 63 - spsp( 11,   11)
ok 64 - spsp( 89, 5785)
ok 65 - spsp(257, 6168)
ok 66 - spsp(367,  367)
ok 67 - spsp(367, 1101)
ok 68 - spsp(49001, 921211727)
ok 69 - spsp(  331, 921211727)
ok 70 - spsp(49117, 921211727)
ok 71 - 143168581 is a Fermat pseudoprime to bases 2,3,5,7,11
ok 72 - 3215031751 is a strong pseudoprime to bases 2,3,5,7
ok 73 - 2152302898747 is a strong pseudoprime to bases 2,3,5,7,11
ok 74 - 2 is a prime and a strong Lucas-Selfridge pseudoprime
ok 75 - 9 is not a prime and not a strong Lucas-Selfridge pseudoprime
ok 76 - 16 is not a prime and not a strong Lucas-Selfridge pseudoprime
ok 77 - 100 is not a prime and not a strong Lucas-Selfridge pseudoprime
ok 78 - 102 is not a prime and not a strong Lucas-Selfridge pseudoprime
ok 79 - 2047 is not a prime and not a strong Lucas-Selfridge pseudoprime
ok 80 - 2048 is not a prime and not a strong Lucas-Selfridge pseudoprime
ok 81 - 5781 is not a prime and not a strong Lucas-Selfridge pseudoprime
ok 82 - 9000 is not a prime and not a strong Lucas-Selfridge pseudoprime
ok 83 - 14381 is not a prime and not a strong Lucas-Selfridge pseudoprime
ok 84 - Lucas sequence 3613982123 1 -1 3613982124
ok 85 - Lucas sequence 323 4 5 324
ok 86 - Lucas sequence 547968611 1 -1 547968612
ok 87 - Lucas sequence 3613982121 1 -1 3613982122
ok 88 - Lucas sequence 323 3 1 324
ok 89 - Lucas sequence 323 3 1  81
ok 90 - Lucas sequence 3613982121 1 -1 1806991061
ok 91 - Lucas sequence 18971 10001 -1 4743
ok 92 - Lucas sequence 323 1 1 324
ok 93 - Lucas sequence 323 4 1 324
ok 94 - Lucas sequence 323 5 -1 81
ok 95 - Lucas sequence 49001 25 117 24501
ok 96 - Lucas sequence 547968611 1 -1 136992153
ok 97 - is_frobenius_underwood_pseudoprime matches is_prime
ok 98 - Frobenius Underwood with 52-bit prime
ok 99 - Frobenius Underwood with 44-bit Lucas pseudoprime
ok 100 - is_frobenius_khashin_pseudoprime matches is_prime
ok 101 - Frobenius Khashin with 52-bit prime
ok 102 - Frobenius Khashin with 44-bit Lucas pseudoprime
ok 103 - 40814059160177 is an unrestricted Perrin pseudoprime
ok 104 - 40814059160177 is not a minimal restricted Perrin pseudoprime
ok 105 - 36407440637569 is minimal restricted Perrin pseudoprime
ok 106 - 36407440637569 is not an Adams/Shanks Perrin pseudoprime
ok 107 - 364573433665 is an Adams/Shanks Perrin pseudoprime
ok 108 - 364573433665 is not a Grantham restricted Perrin pseudoprime
ok
t/18-functions.t ............. 
1..62
ok 1 - li(-1) is invalid
ok 2 - R(0) is invalid
ok 3 - R(-1) is invalid
ok 4 - Ei(0) is -infinity
ok 5 - Ei(-inf) is 0
ok 6 - Ei(inf) is infinity
ok 7 - li(0) is 0
ok 8 - li(1) is -infinity
ok 9 - li(inf) is infinity
ok 10 - Ei(2.2)
ok 11 - Ei(12) ~= 14959.5326663975
ok 12 - Ei(79) ~= 2.61362206325046e+32
ok 13 - Ei(41) ~= 1.6006649143245e+16
ok 14 - Ei(-1e-05) ~= -10.9357198000437
ok 15 - Ei(1.5) ~= 3.3012854491298
ok 16 - Ei(40) ~= 6039718263611242
ok 17 - Ei(0.693147180559945) ~= 1.04516378011749
ok 18 - Ei(5) ~= 40.1852753558032
ok 19 - Ei(20) ~= 25615652.6640566
ok 20 - Ei(-0.5) ~= -0.55977359477616
ok 21 - Ei(2) ~= 4.95423435600189
ok 22 - Ei(-0.1) ~= -1.82292395841939
ok 23 - Ei(1) ~= 1.89511781635594
ok 24 - Ei(10) ~= 2492.22897624188
ok 25 - Ei(-0.001) ~= -6.33153936413615
ok 26 - Ei(-10) ~= -4.15696892968532e-06
ok 27 - Ei(-1e-08) ~= -17.8434650890508
ok 28 - li(100000000000) ~= 4118066400.62161
ok 29 - li(1000) ~= 177.609657990152
ok 30 - li(4294967295) ~= 203284081.954542
ok 31 - li(10) ~= 6.1655995047873
ok 32 - li(100000000) ~= 5762209.37544803
ok 33 - li(100000) ~= 9629.8090010508
ok 34 - li(0) ~= 0
ok 35 - li(1.01) ~= -4.02295867392994
ok 36 - li(2) ~= 1.04516378011749
ok 37 - li(10000000000) ~= 455055614.586623
ok 38 - li(24) ~= 11.2003157952327
ok 39 - R(4294967295) ~= 203280697.513261
ok 40 - R(10) ~= 4.56458314100509
ok 41 - R(1000) ~= 168.359446281167
ok 42 - R(10000000) ~= 664667.447564748
ok 43 - R(10000000000) ~= 455050683.306847
ok 44 - R(2) ~= 1.54100901618713
ok 45 - R(18446744073709551615) ~= 4.25656284014012e+17
ok 46 - R(1000000) ~= 78527.3994291277
ok 47 - R(1.01) ~= 1.00606971806229
ok 48 - Zeta(2.5) ~= 0.341487257250917
ok 49 - Zeta(7) ~= 0.00834927738192283
ok 50 - Zeta(8.5) ~= 0.00285925088241563
ok 51 - Zeta(2) ~= 0.644934066848226
ok 52 - Zeta(4.5) ~= 0.0547075107614543
ok 53 - Zeta(20.6) ~= 6.29339157357821e-07
ok 54 - LambertW(0.367879441171442) ~= 0.278464542761074
ok 55 - LambertW(18446744073709551615) ~= 40.6562665724989
ok 56 - LambertW(-0.1) ~= -0.111832559158963
ok 57 - LambertW(0) ~= 0
ok 58 - LambertW(10) ~= 1.7455280027407
ok 59 - LambertW(1) ~= 0.567143290409784
ok 60 - LambertW(100000000000) ~= 22.2271227349611
ok 61 - LambertW(10000) ~= 7.23184603809337
ok 62 - LambertW(-0.367879441171442) ~= -0.99999995824889
ok
t/19-chebyshev.t ............. 
1..16
ok 1 - chebyshev_theta(5)
ok 2 - chebyshev_theta(123456)
ok 3 - chebyshev_theta(4)
ok 4 - chebyshev_theta(3)
ok 5 - chebyshev_theta(1)
ok 6 - chebyshev_theta(243)
ok 7 - chebyshev_theta(0)
ok 8 - chebyshev_theta(2)
ok 9 - chebyshev_psi(5)
ok 10 - chebyshev_psi(3)
ok 11 - chebyshev_psi(1)
ok 12 - chebyshev_psi(243)
ok 13 - chebyshev_psi(123456)
ok 14 - chebyshev_psi(4)
ok 15 - chebyshev_psi(2)
ok 16 - chebyshev_psi(0)
ok
t/19-chinese.t ............... 
1..24
ok 1 - crt() = 0
ok 2 - crt([4 5]) = 4
ok 3 - crt([77 11]) = 0
ok 4 - crt([0 5],[0 6]) = 0
ok 5 - crt([14 5],[0 6]) = 24
ok 6 - crt([10 11],[4 22],[9 19]) = <undef>
ok 7 - crt([77 13],[79 17]) = 181
ok 8 - crt([2 3],[3 5],[2 7]) = 23
ok 9 - crt([10 11],[4 12],[12 13]) = 1000
ok 10 - crt([42 127],[24 128]) = 2328
ok 11 - crt([32 126],[23 129]) = 410
ok 12 - crt([2328 16256],[410 5418]) = 28450328
ok 13 - crt([1 10],[11 100]) = 11
ok 14 - crt([11 100],[22 100]) = <undef>
ok 15 - crt([1753051086 3243410059],[2609156951 2439462460]) = 6553408220202087311
ok 16 - crt([6325451203932218304 2750166238021308],[5611464489438299732 94116455416164094]) = 1433171050835863115088946517796
ok 17 - crt([1762568892212871168 8554171181844660224],[2462425671659520000 2016911328009584640]) = 188079320578009823963731127992320
ok 18 - crt([856686401696104448 11943471150311931904],[6316031051955372032 13290002569363587072]) = 943247297188055114646647659888640
ok 19 - crt([-3105579549 3743000622],[-1097075646 1219365911]) = 2754322117681955433
ok 20 - crt([-925543788386357567 243569243147991],[-1256802905822510829 28763455974459440]) = 837055903505897549759994093811
ok 21 - crt([-2155972909982577461 8509855219791386062],[-5396280069505638574 6935743629860450393]) = 12941173114744545542549046204020289525
ok 22 - crt([3 5],[2 0]) = <undef>
ok 23 - crt([3 0],[2 3]) = <undef>
ok 24 - crt([3 5],[3 0],[2 3]) = <undef>
ok
t/19-divisorsum.t ............ 
1..12
ok 1 - Sum of divisors to the 3th power: Sigma_3
ok 2 - Sigma_3 using integer instead of sub
ok 3 - Sum of divisors to the 0th power: Sigma_0
ok 4 - Sigma_0 using integer instead of sub
ok 5 - Sum of divisors to the 2th power: Sigma_2
ok 6 - Sigma_2 using integer instead of sub
ok 7 - Sum of divisors to the 1th power: Sigma_1
ok 8 - Sigma_1 using integer instead of sub
ok 9 - divisor_sum(n)
ok 10 - tau as divisor_sum(n, sub {1})
ok 11 - tau as divisor_sum(n, 0)
ok 12 - Tau4 (A007426), nested divisor sums
ok
t/19-gcd.t ................... 
1..53
ok 1 - gcd() = 0
ok 2 - gcd(8) = 8
ok 3 - gcd(9,9) = 9
ok 4 - gcd(0,0) = 0
ok 5 - gcd(1,0,0) = 1
ok 6 - gcd(0,0,1) = 1
ok 7 - gcd(17,19) = 1
ok 8 - gcd(54,24) = 6
ok 9 - gcd(42,56) = 14
ok 10 - gcd(9,28) = 1
ok 11 - gcd(48,180) = 12
ok 12 - gcd(2705353758,2540073744,3512215098,2214052398) = 18
ok 13 - gcd(2301535282,3609610580,3261189640) = 106
ok 14 - gcd(694966514,510402262,195075284,609944479) = 181
ok 15 - gcd(294950648,651855678,263274296,493043500,581345426) = 58
ok 16 - gcd(-30,-90,90) = 30
ok 17 - gcd(-3,-9,-18) = 3
ok 18 - gcd(12848174105599691600,15386870946739346600,11876770906605497900) = 700
ok 19 - gcd(9785375481451202685,17905669244643674637,11069209430356622337) = 117
ok 20 - lcm() = 0
ok 21 - lcm(8) = 8
ok 22 - lcm(9,9) = 9
ok 23 - lcm(0,0) = 0
ok 24 - lcm(1,0,0) = 0
ok 25 - lcm(0,0,1) = 0
ok 26 - lcm(17,19) = 323
ok 27 - lcm(54,24) = 216
ok 28 - lcm(42,56) = 168
ok 29 - lcm(9,28) = 252
ok 30 - lcm(48,180) = 720
ok 31 - lcm(36,45) = 180
ok 32 - lcm(-36,45) = 180
ok 33 - lcm(-36,-45) = 180
ok 34 - lcm(30,15,5) = 30
ok 35 - lcm(2,3,4,5) = 60
ok 36 - lcm(30245,114552) = 3464625240
ok 37 - lcm(11926,78001,2211) = 2790719778
ok 38 - lcm(1426,26195,3289,8346) = 4254749070
ok 39 - lcm(26505798,9658520,967043,18285904) = 15399063829732542960
ok 40 - lcm(267220708,143775143,261076) = 15015659316963449908
ok 41 - gcdext(0,0) = [0 0 0]
ok 42 - gcdext(0,28) = [0 1 28]
ok 43 - gcdext(28,0) = [1 0 28]
ok 44 - gcdext(0,-28) = [0 -1 28]
ok 45 - gcdext(-28,0) = [-1 0 28]
ok 46 - gcdext(3706259912,1223661804) = [123862139 -375156991 4]
ok 47 - gcdext(3706259912,-1223661804) = [123862139 375156991 4]
ok 48 - gcdext(-3706259912,1223661804) = [-123862139 -375156991 4]
ok 49 - gcdext(-3706259912,-1223661804) = [-123862139 375156991 4]
ok 50 - gcdext(22,242) = [1 0 22]
ok 51 - gcdext(2731583792,3028241442) = [-187089956 168761937 2]
ok 52 - gcdext(42272720,12439910) = [-21984 74705 70]
ok 53 - gcdext(10139483024654235947,8030280778952246347) = [-2715309548282941287 3428502169395958570 1]
ok
t/19-kronecker.t ............. 
1..42
ok 1 - kronecker(109981, 737777) = 1
ok 2 - kronecker(737779, 121080) = -1
ok 3 - kronecker(-737779, 121080) = 1
ok 4 - kronecker(737779, -121080) = -1
ok 5 - kronecker(-737779, -121080) = -1
ok 6 - kronecker(12345, 331) = -1
ok 7 - kronecker(1001, 9907) = -1
ok 8 - kronecker(19, 45) = 1
ok 9 - kronecker(8, 21) = -1
ok 10 - kronecker(5, 21) = 1
ok 11 - kronecker(5, 1237) = -1
ok 12 - kronecker(10, 49) = 1
ok 13 - kronecker(123, 4567) = -1
ok 14 - kronecker(3, 18) = 0
ok 15 - kronecker(3, -18) = 0
ok 16 - kronecker(-2, 0) = 0
ok 17 - kronecker(-1, 0) = 1
ok 18 - kronecker(0, 0) = 0
ok 19 - kronecker(1, 0) = 1
ok 20 - kronecker(2, 0) = 0
ok 21 - kronecker(-2, 1) = 1
ok 22 - kronecker(-1, 1) = 1
ok 23 - kronecker(0, 1) = 1
ok 24 - kronecker(1, 1) = 1
ok 25 - kronecker(2, 1) = 1
ok 26 - kronecker(-2, -1) = -1
ok 27 - kronecker(-1, -1) = -1
ok 28 - kronecker(0, -1) = 1
ok 29 - kronecker(1, -1) = 1
ok 30 - kronecker(2, -1) = 1
ok 31 - kronecker(3686556869, 428192857) = 1
ok 32 - kronecker(-1453096827, 364435739) = -1
ok 33 - kronecker(3527710253, -306243569) = 1
ok 34 - kronecker(-1843526669, -332265377) = 1
ok 35 - kronecker(321781679, 4095783323) = -1
ok 36 - kronecker(454249403, -79475159) = -1
ok 37 - kronecker(17483840153492293897, 455592493) = 1
ok 38 - kronecker(-1402663995299718225, 391125073) = 1
ok 39 - kronecker(16715440823750591903, -534621209) = -1
ok 40 - kronecker(13106964391619451641, 16744199040925208803) = 1
ok 41 - kronecker(11172354269896048081, 10442187294190042188) = -1
ok 42 - kronecker(-5694706465843977004, 9365273357682496999) = -1
ok
t/19-legendrephi.t ........... 
1..17
ok 1 - legendre_phi(0,92372) = 0
ok 2 - legendre_phi(5,15) = 1
ok 3 - legendre_phi(89,4) = 21
ok 4 - legendre_phi(46,4) = 11
ok 5 - legendre_phi(47,4) = 12
ok 6 - legendre_phi(48,4) = 12
ok 7 - legendre_phi(52,4) = 12
ok 8 - legendre_phi(53,4) = 13
ok 9 - legendre_phi(10000,5) = 2077
ok 10 - legendre_phi(526,7) = 95
ok 11 - legendre_phi(588,6) = 111
ok 12 - legendre_phi(100000,5) = 20779
ok 13 - legendre_phi(5882,6) = 1128
ok 14 - legendre_phi(100000,7) = 18053
ok 15 - legendre_phi(10000,8) = 1711
ok 16 - legendre_phi(1000000,168) = 78331
ok 17 - legendre_phi(800000,213) = 63739
ok
t/19-liouville.t ............. 
1..60
ok 1 - liouville(24) = 1
ok 2 - liouville(51) = 1
ok 3 - liouville(94) = 1
ok 4 - liouville(183) = 1
ok 5 - liouville(294) = 1
ok 6 - liouville(629) = 1
ok 7 - liouville(1488) = 1
ok 8 - liouville(3684) = 1
ok 9 - liouville(8006) = 1
ok 10 - liouville(8510) = 1
ok 11 - liouville(32539) = 1
ok 12 - liouville(57240) = 1
ok 13 - liouville(103138) = 1
ok 14 - liouville(238565) = 1
ok 15 - liouville(444456) = 1
ok 16 - liouville(820134) = 1
ok 17 - liouville(1185666) = 1
ok 18 - liouville(3960407) = 1
ok 19 - liouville(4429677) = 1
ok 20 - liouville(13719505) = 1
ok 21 - liouville(29191963) = 1
ok 22 - liouville(57736144) = 1
ok 23 - liouville(134185856) = 1
ok 24 - liouville(262306569) = 1
ok 25 - liouville(324235872) = 1
ok 26 - liouville(563441153) = 1
ok 27 - liouville(1686170713) = 1
ok 28 - liouville(2489885844) = 1
ok 29 - liouville(1260238066729040) = 1
ok 30 - liouville(10095256575169232896) = 1
ok 31 - liouville(23) = -1
ok 32 - liouville(47) = -1
ok 33 - liouville(113) = -1
ok 34 - liouville(163) = -1
ok 35 - liouville(378) = -1
ok 36 - liouville(942) = -1
ok 37 - liouville(1669) = -1
ok 38 - liouville(2808) = -1
ok 39 - liouville(8029) = -1
ok 40 - liouville(9819) = -1
ok 41 - liouville(23863) = -1
ok 42 - liouville(39712) = -1
ok 43 - liouville(87352) = -1
ok 44 - liouville(210421) = -1
ok 45 - liouville(363671) = -1
ok 46 - liouville(562894) = -1
ok 47 - liouville(1839723) = -1
ok 48 - liouville(3504755) = -1
ok 49 - liouville(7456642) = -1
ok 50 - liouville(14807115) = -1
ok 51 - liouville(22469612) = -1
ok 52 - liouville(49080461) = -1
ok 53 - liouville(132842464) = -1
ok 54 - liouville(146060791) = -1
ok 55 - liouville(279256445) = -1
ok 56 - liouville(802149183) = -1
ok 57 - liouville(1243577750) = -1
ok 58 - liouville(3639860654) = -1
ok 59 - liouville(1807253903626380) = -1
ok 60 - liouville(12063177829788352512) = -1
ok
t/19-mangoldt.t .............. 
1..21
ok 1 - exp_mangoldt(83521) == 17
ok 2 - exp_mangoldt(0) == 1
ok 3 - exp_mangoldt(4) == 2
ok 4 - exp_mangoldt(823543) == 7
ok 5 - exp_mangoldt(11) == 11
ok 6 - exp_mangoldt(399983) == 399983
ok 7 - exp_mangoldt(6) == 1
ok 8 - exp_mangoldt(399981) == 1
ok 9 - exp_mangoldt(25) == 5
ok 10 - exp_mangoldt(130321) == 19
ok 11 - exp_mangoldt(399982) == 1
ok 12 - exp_mangoldt(3) == 3
ok 13 - exp_mangoldt(9) == 3
ok 14 - exp_mangoldt(7) == 7
ok 15 - exp_mangoldt(-13) == 1
ok 16 - exp_mangoldt(8) == 2
ok 17 - exp_mangoldt(5) == 5
ok 18 - exp_mangoldt(2) == 2
ok 19 - exp_mangoldt(1) == 1
ok 20 - exp_mangoldt(27) == 3
ok 21 - exp_mangoldt(10) == 1
ok
t/19-moebius.t ............... 
1..14
ok 1 - moebius(0)
ok 2 - moebius 1 .. 20 (single)
ok 3 - moebius 1 .. 20 (range)
ok 4 - moebius -1 .. -20 (single)
ok 5 - moebius -14 .. -9 (range)
ok 6 - moebius -7 .. 5 (range)
ok 7 - moebius(3*5*7*11*13) = -1
ok 8 - moebius(73\#/2) = 1
ok 9 - sum(moebius(k) for k=1..n)   small n
ok 10 - sum(moebius(1,n))   small n
ok 11 - mertens(n)   small n
ok 12 - mertens(100000)
ok 13 - mertens(10000000)
ok 14 - mertens(1000000)
ok
t/19-popcount.t .............. 
1..9
ok 1 - hammingweight(0) = 0
ok 2 - hammingweight(1) = 1
ok 3 - hammingweight(2) = 1
ok 4 - hammingweight(3) = 2
ok 5 - hammingweight(452398) = 12
ok 6 - hammingweight(-452398) = 12
ok 7 - hammingweight(4294967295) = 32
ok 8 - hammingweight(777777777777777714523989234823498234098249108234236) = 83
ok 9 - hammingweight(65520150907877741108803406077280119039314703968014509493068998974809747144933) = 118
ok
t/19-primroots.t ............. 
1..52
ok 1 - znprimroot(10) == 3
ok 2 - znprimroot(6) == 5
ok 3 - znprimroot(0) == <undef>
ok 4 - znprimroot(2) == 1
ok 5 - znprimroot(3) == 2
ok 6 - znprimroot(1729) == <undef>
ok 7 - znprimroot(5109721) == 94
ok 8 - znprimroot(8) == <undef>
ok 9 - znprimroot(9) == 2
ok 10 - znprimroot(5) == 2
ok 11 - znprimroot(1685283601) == 164
ok 12 - znprimroot(90441961) == 113
ok 13 - znprimroot(14123555781055773271) == 6
ok 14 - znprimroot(1407827621) == 2
ok 15 - znprimroot(1520874431) == 17
ok 16 - znprimroot(17551561) == 97
ok 17 - znprimroot(2232881419280027) == 6
ok 18 - znprimroot(100000001) == <undef>
ok 19 - znprimroot(7) == 3
ok 20 - znprimroot(4) == 3
ok 21 - znprimroot(9223372036854775837) == 5
ok 22 - znprimroot(-11) == 2
ok 23 - znprimroot(1) == 0
ok 24 - znprimroot(89637484042681) == 335
ok 25 - znprimroot("-100000898") == 31
ok 26 - 3 is a primitive root mod 10
ok 27 - 5 is a primitive root mod 6
ok 28 - 2 is not a primitive root mod 0
ok 29 - 1 is a primitive root mod 2
ok 30 - 2 is a primitive root mod 3
ok 31 - 2 is not a primitive root mod 1729
ok 32 - 94 is a primitive root mod 5109721
ok 33 - 2 is not a primitive root mod 8
ok 34 - 2 is a primitive root mod 9
ok 35 - 2 is a primitive root mod 5
ok 36 - 164 is a primitive root mod 1685283601
ok 37 - 113 is a primitive root mod 90441961
ok 38 - 6 is a primitive root mod 14123555781055773271
ok 39 - 2 is a primitive root mod 1407827621
ok 40 - 17 is a primitive root mod 1520874431
ok 41 - 97 is a primitive root mod 17551561
ok 42 - 6 is a primitive root mod 2232881419280027
ok 43 - 2 is not a primitive root mod 100000001
ok 44 - 3 is a primitive root mod 7
ok 45 - 3 is a primitive root mod 4
ok 46 - 5 is a primitive root mod 9223372036854775837
ok 47 - 2 is a primitive root mod -11
ok 48 - 0 is a primitive root mod 1
ok 49 - 335 is a primitive root mod 89637484042681
ok 50 - 19 is a primitive root mod 191
ok 51 - 13 is not a primitive root mod 191
ok 52 - 35 is not a primitive root mod 982
ok
t/19-ramanujan.t ............. 
1..38
ok 1 - Ramanujan Sum  c_0(34) = 0
ok 2 - Ramanujan Sum  c_34(0)
ok 3 - Ramanujan sum c_{1..30}(1..30)
ok 4 - H(163) = 12
ok 5 - H(427) = 24
ok 6 - H(23) = 36
ok 7 - H(20) = 24
ok 8 - H(30067) = 168
ok 9 - H(12) = 16
ok 10 - H(6307) = 96
ok 11 - H(1) = 0
ok 12 - H(-3) = 0
ok 13 - H(71) = 84
ok 14 - H(1555) = 48
ok 15 - H(39) = 48
ok 16 - H(20563) = 156
ok 17 - H(31243) = 192
ok 18 - H(4) = 6
ok 19 - H(907) = 36
ok 20 - H(3) = 4
ok 21 - H(47) = 60
ok 22 - H(11) = 12
ok 23 - H(34483) = 180
ok 24 - H(2) = 0
ok 25 - H(0) = -1
ok 26 - H(8) = 12
ok 27 - H(4031) = 1008
ok 28 - H(7) = 12
ok 29 - Ramanujan Tau(243) = 13400796651732
ok 30 - Ramanujan Tau(5) = 4830
ok 31 - Ramanujan Tau(0) = 0
ok 32 - Ramanujan Tau(3) = 252
ok 33 - Ramanujan Tau(53) = -1596055698
ok 34 - Ramanujan Tau(2) = -24
ok 35 - Ramanujan Tau(4) = -1472
ok 36 - Ramanujan Tau(1) = 1
ok 37 - Ramanujan Tau(16089) = 12655813883111729342208
ok 38 - Ramanujan Tau(106) = 38305336752
ok
t/19-rootint.t ............... 
1..15
ok 1 - sqrtint 0 .. 100
ok 2 - sqrtint(1234567^2) = 1234567
ok 3 - sqrtint(1234568^2-1) = 1234567
ok 4 - sqrtint(1234567^2-1) = 1234566
ok 5 - rootint(928342398,1) returns 928342398
ok 6 - rootint(88875,3) returns 44
ok 7 - integer third root of 266667176579895999 is 643659
ok 8 - rootint on perfect powers where log fails
ok 9 - integer 23rd root of a large 23rd power
ok 10 - integer 23rd root of almost a large 23rd power
ok 11 - logint base 2: 0 .. 200
ok 12 - logint base 3: 0 .. 200
ok 13 - logint base 5: 0 .. 200
ok 14 - logint(19284098234,16) = 8
ok 15 - power is 16^8
ok
t/19-totients.t .............. 
1..22
ok 1 - euler_phi 0 .. 69
ok 2 - euler_phi with range: 0, 69
ok 3 - sum of totients to 240
ok 4 - euler_phi(-123456) == 0
ok 5 - euler_phi(123456) == 41088
ok 6 - euler_phi(123456789) == 82260072
ok 7 - euler_phi(123457) == 123456
ok 8 - euler_phi(0,0)
ok 9 - euler_phi with end < start
ok 10 - euler_phi 0-1
ok 11 - euler_phi 1-2
ok 12 - euler_phi 1-3
ok 13 - euler_phi 2-3
ok 14 - euler_phi 10-20
ok 15 - euler_phi(1513,1537)
ok 16 - euler_phi -5 to 5
ok 17 - carmichael_lambda with range: 0, 69
ok 18 - Totient count 0-100 = 198
ok 19 - inverse_totient(1728) = 62
ok 20 - inverse_totient(9!) = 1138
ok 21 - inverse_totient(10000008)
ok 22 - inverse_totient(82260072) includes 123456789
ok
t/19-valuation.t ............. 
1..6
ok 1 - valuation(-4,2) = 2
ok 2 - valuation(0,0) = 0
ok 3 - valuation(1,0) = 0
ok 4 - valuation(96552,6) = 3
ok 5 - valuation(1879048192,2) = 28
ok 6 - valuation(65520150907877741108803406077280119039314703968014509493068998974809747144832,2) = 7
ok
t/19-znorder.t ............... 
1..22
ok 1 - znorder(1, 35) = 1
ok 2 - znorder(2, 35) = 12
ok 3 - znorder(4, 35) = 6
ok 4 - znorder(6, 35) = 2
ok 5 - znorder(7, 35) = <undef>
ok 6 - znorder(1, 1) = 1
ok 7 - znorder(0, 0) = <undef>
ok 8 - znorder(1, 0) = <undef>
ok 9 - znorder(25, 0) = <undef>
ok 10 - znorder(1, 1) = 1
ok 11 - znorder(19, 1) = 1
ok 12 - znorder(1, 19) = 1
ok 13 - znorder(2, 19) = 18
ok 14 - znorder(3, 20) = 4
ok 15 - znorder(57, 1000000003) = 189618
ok 16 - znorder(67, 999999749) = 30612237
ok 17 - znorder(22, 999991815) = 69844
ok 18 - znorder(10, 2147475467) = 31448382
ok 19 - znorder(141, 2147475467) = 1655178
ok 20 - znorder(7410, 2147475467) = 39409
ok 21 - znorder(31407, 2147475467) = 266
ok 22 - znorder(2, 2405286912458753) = 1073741824
ok
t/20-jordantotient.t ......... 
1..13
ok 1 - Jordan's Totient J_7
ok 2 - Jordan's Totient J_5
ok 3 - Jordan's Totient J_6
ok 4 - Jordan's Totient J_2
ok 5 - Jordan's Totient J_4
ok 6 - Jordan's Totient J_3
ok 7 - Jordan's Totient J_1
ok 8 - Dedekind psi(n) = J_2(n)/J_1(n)
ok 9 - Dedekind psi(n) = divisor_sum(n, moebius(d)^2 / d)
ok 10 - Jordan totient 5, using jordan_totient
ok 11 - Jordan totient 5, using divisor sum
ok 12 - J_4(12345)
ok 13 - n=12345, k=4  :   n**k = divisor_sum(n, jordan_totient(k, d))
ok
t/20-primorial.t ............. 
1..64
ok 1 - primorial(nth(0))
ok 2 - pn_primorial(0)
ok 3 - primorial(nth(1))
ok 4 - pn_primorial(1)
ok 5 - primorial(nth(2))
ok 6 - pn_primorial(2)
ok 7 - primorial(nth(3))
ok 8 - pn_primorial(3)
ok 9 - primorial(nth(4))
ok 10 - pn_primorial(4)
ok 11 - primorial(nth(5))
ok 12 - pn_primorial(5)
ok 13 - primorial(nth(6))
ok 14 - pn_primorial(6)
ok 15 - primorial(nth(7))
ok 16 - pn_primorial(7)
ok 17 - primorial(nth(8))
ok 18 - pn_primorial(8)
ok 19 - primorial(nth(9))
ok 20 - pn_primorial(9)
ok 21 - primorial(nth(10))
ok 22 - pn_primorial(10)
ok 23 - primorial(nth(11))
ok 24 - pn_primorial(11)
ok 25 - primorial(nth(12))
ok 26 - pn_primorial(12)
ok 27 - primorial(nth(13))
ok 28 - pn_primorial(13)
ok 29 - primorial(nth(14))
ok 30 - pn_primorial(14)
ok 31 - primorial(nth(15))
ok 32 - pn_primorial(15)
ok 33 - primorial(nth(16))
ok 34 - pn_primorial(16)
ok 35 - primorial(nth(17))
ok 36 - pn_primorial(17)
ok 37 - primorial(nth(18))
ok 38 - pn_primorial(18)
ok 39 - primorial(nth(19))
ok 40 - pn_primorial(19)
ok 41 - primorial(nth(20))
ok 42 - pn_primorial(20)
ok 43 - primorial(nth(21))
ok 44 - pn_primorial(21)
ok 45 - primorial(nth(22))
ok 46 - pn_primorial(22)
ok 47 - primorial(nth(23))
ok 48 - pn_primorial(23)
ok 49 - primorial(nth(24))
ok 50 - pn_primorial(24)
ok 51 - primorial(nth(25))
ok 52 - pn_primorial(25)
ok 53 - primorial(nth(26))
ok 54 - pn_primorial(26)
ok 55 - primorial(nth(27))
ok 56 - pn_primorial(27)
ok 57 - primorial(nth(28))
ok 58 - pn_primorial(28)
ok 59 - primorial(nth(29))
ok 60 - pn_primorial(29)
ok 61 - primorial(nth(30))
ok 62 - pn_primorial(30)
ok 63 - primorial(100)
ok 64 - primorial(541)
ok
t/21-conseq-lcm.t ............ 
1..102
ok 1 - consecutive_integer_lcm(0)
ok 2 - consecutive_integer_lcm(1)
ok 3 - consecutive_integer_lcm(2)
ok 4 - consecutive_integer_lcm(3)
ok 5 - consecutive_integer_lcm(4)
ok 6 - consecutive_integer_lcm(5)
ok 7 - consecutive_integer_lcm(6)
ok 8 - consecutive_integer_lcm(7)
ok 9 - consecutive_integer_lcm(8)
ok 10 - consecutive_integer_lcm(9)
ok 11 - consecutive_integer_lcm(10)
ok 12 - consecutive_integer_lcm(11)
ok 13 - consecutive_integer_lcm(12)
ok 14 - consecutive_integer_lcm(13)
ok 15 - consecutive_integer_lcm(14)
ok 16 - consecutive_integer_lcm(15)
ok 17 - consecutive_integer_lcm(16)
ok 18 - consecutive_integer_lcm(17)
ok 19 - consecutive_integer_lcm(18)
ok 20 - consecutive_integer_lcm(19)
ok 21 - consecutive_integer_lcm(20)
ok 22 - consecutive_integer_lcm(21)
ok 23 - consecutive_integer_lcm(22)
ok 24 - consecutive_integer_lcm(23)
ok 25 - consecutive_integer_lcm(24)
ok 26 - consecutive_integer_lcm(25)
ok 27 - consecutive_integer_lcm(26)
ok 28 - consecutive_integer_lcm(27)
ok 29 - consecutive_integer_lcm(28)
ok 30 - consecutive_integer_lcm(29)
ok 31 - consecutive_integer_lcm(30)
ok 32 - consecutive_integer_lcm(31)
ok 33 - consecutive_integer_lcm(32)
ok 34 - consecutive_integer_lcm(33)
ok 35 - consecutive_integer_lcm(34)
ok 36 - consecutive_integer_lcm(35)
ok 37 - consecutive_integer_lcm(36)
ok 38 - consecutive_integer_lcm(37)
ok 39 - consecutive_integer_lcm(38)
ok 40 - consecutive_integer_lcm(39)
ok 41 - consecutive_integer_lcm(40)
ok 42 - consecutive_integer_lcm(41)
ok 43 - consecutive_integer_lcm(42)
ok 44 - consecutive_integer_lcm(43)
ok 45 - consecutive_integer_lcm(44)
ok 46 - consecutive_integer_lcm(45)
ok 47 - consecutive_integer_lcm(46)
ok 48 - consecutive_integer_lcm(47)
ok 49 - consecutive_integer_lcm(48)
ok 50 - consecutive_integer_lcm(49)
ok 51 - consecutive_integer_lcm(50)
ok 52 - consecutive_integer_lcm(51)
ok 53 - consecutive_integer_lcm(52)
ok 54 - consecutive_integer_lcm(53)
ok 55 - consecutive_integer_lcm(54)
ok 56 - consecutive_integer_lcm(55)
ok 57 - consecutive_integer_lcm(56)
ok 58 - consecutive_integer_lcm(57)
ok 59 - consecutive_integer_lcm(58)
ok 60 - consecutive_integer_lcm(59)
ok 61 - consecutive_integer_lcm(60)
ok 62 - consecutive_integer_lcm(61)
ok 63 - consecutive_integer_lcm(62)
ok 64 - consecutive_integer_lcm(63)
ok 65 - consecutive_integer_lcm(64)
ok 66 - consecutive_integer_lcm(65)
ok 67 - consecutive_integer_lcm(66)
ok 68 - consecutive_integer_lcm(67)
ok 69 - consecutive_integer_lcm(68)
ok 70 - consecutive_integer_lcm(69)
ok 71 - consecutive_integer_lcm(70)
ok 72 - consecutive_integer_lcm(71)
ok 73 - consecutive_integer_lcm(72)
ok 74 - consecutive_integer_lcm(73)
ok 75 - consecutive_integer_lcm(74)
ok 76 - consecutive_integer_lcm(75)
ok 77 - consecutive_integer_lcm(76)
ok 78 - consecutive_integer_lcm(77)
ok 79 - consecutive_integer_lcm(78)
ok 80 - consecutive_integer_lcm(79)
ok 81 - consecutive_integer_lcm(80)
ok 82 - consecutive_integer_lcm(81)
ok 83 - consecutive_integer_lcm(82)
ok 84 - consecutive_integer_lcm(83)
ok 85 - consecutive_integer_lcm(84)
ok 86 - consecutive_integer_lcm(85)
ok 87 - consecutive_integer_lcm(86)
ok 88 - consecutive_integer_lcm(87)
ok 89 - consecutive_integer_lcm(88)
ok 90 - consecutive_integer_lcm(89)
ok 91 - consecutive_integer_lcm(90)
ok 92 - consecutive_integer_lcm(91)
ok 93 - consecutive_integer_lcm(92)
ok 94 - consecutive_integer_lcm(93)
ok 95 - consecutive_integer_lcm(94)
ok 96 - consecutive_integer_lcm(95)
ok 97 - consecutive_integer_lcm(96)
ok 98 - consecutive_integer_lcm(97)
ok 99 - consecutive_integer_lcm(98)
ok 100 - consecutive_integer_lcm(99)
ok 101 - consecutive_integer_lcm(100)
ok 102 - consecutive_integer_lcm(2000)
ok
t/22-aks-prime.t ............. 
1..9
ok 1 - is_prime(undef)
ok 2 - 2 is prime
ok 3 - 1 is not prime
ok 4 - 0 is not prime
ok 5 - -1 is not prime
ok 6 - -2 is not prime
ok 7 - is_aks_prime(877) is true
ok 8 - is_aks_prime(69197) is true
ok 9 - is_aks_prime(69199) is false
ok
t/23-primality-proofs.t ...... 
1..88
ok 1 - 871139809 is composite
ok 2 - 1490266103 is provably prime
ok 3 - 20907001 is prime
ok 4 -    is_provable_prime_with_cert returns 2
ok 5 -    certificate is non-null
ok 6 -    verification of certificate for 20907001 done
ok 7 -    prime_certificate is also non-null
ok 8 -    certificate is identical to first
ok 9 - 809120722675364249 is prime
ok 10 -    is_provable_prime_with_cert returns 2
ok 11 -    certificate is non-null
ok 12 -    verification of certificate for 809120722675364249 done
ok 13 -    prime_certificate is also non-null
ok 14 -    certificate is identical to first
ok 15 - 677826928624294778921 is prime
ok 16 -    is_provable_prime_with_cert returns 2
ok 17 -    certificate is non-null
ok 18 -    verification of certificate for 677826928624294778921 done
ok 19 -    prime_certificate is also non-null
ok 20 -    certificate is identical to first
ok 21 - 980098182126316404630169387 is prime
ok 22 -    is_provable_prime_with_cert returns 2
ok 23 -    certificate is non-null
ok 24 -    verification of certificate for 980098182126316404630169387 done
ok 25 -    prime_certificate is also non-null
ok 26 -    certificate is identical to first
ok 27 - simple Lucas/Pratt proof verified
ok 28 - ECPP primality proof of 1030291136596639351761062717 verified
ok 29 - warning for unknown method
ok 30 -    ...and returns 0
ok 31 - warning for invalid Lucas/Pratt
ok 32 -    ...and returns 0
ok 33 - warning for invalid Lucas/Pratt
ok 34 -    ...and returns 0
ok 35 - warning for invalid Lucas/Pratt
ok 36 -    ...and returns 0
ok 37 - warning for invalid n-1 (too many arguments)
ok 38 -    ...and returns 0
ok 39 - warning for invalid n-1 (non-array f,a)
ok 40 -    ...and returns 0
ok 41 - warning for invalid n-1 (non-array a)
ok 42 -    ...and returns 0
ok 43 - warning for invalid n-1 (too few a values)
ok 44 -    ...and returns 0
ok 45 - warning for invalid ECPP (no n-certs)
ok 46 -    ...and returns 0
ok 47 - warning for invalid ECPP (non-array block)
ok 48 -    ...and returns 0
ok 49 - warning for invalid ECPP (wrong size block)
ok 50 -    ...and returns 0
ok 51 - warning for invalid ECPP (block n != q)
ok 52 -    ...and returns 0
ok 53 - warning for invalid ECPP (block point wrong format)
ok 54 -    ...and returns 0
ok 55 - warning for invalid ECPP (block point wrong format)
ok 56 -    ...and returns 0
ok 57 - verify null is composite
ok 58 - verify [2] is prime
ok 59 - verify [9] is composite
ok 60 - verify [14] is composite
ok 61 - verify BPSW with n > 2^64 fails
ok 62 - verify BPSW with composite fails
ok 63 - Lucas/Pratt proper
ok 64 - Pratt with non-prime factors
ok 65 - Pratt with non-prime factors
ok 66 - Pratt with wrong factors
ok 67 - Pratt with not enough factors
ok 68 - Pratt with coprime a
ok 69 - Pratt with non-psp a
ok 70 - Pratt with a not valid for all f
ok 71 - n-1 proper
ok 72 - n-1 with wrong factors
ok 73 - n-1 without 2 as a factor
ok 74 - n-1 with a non-prime factor
ok 75 - n-1 with a non-prime array factor
ok 76 - n-1 without enough factors
ok 77 - n-1 with bad BLS75 r/s
ok 78 - n-1 with bad a value
ok 79 - ECPP proper
ok 80 - ECPP q is divisible by 2
ok 81 - ECPP a/b invalid
ok 82 - ECPP q is too small
ok 83 - ECPP multiplication wrong (infinity)
ok 84 - ECPP multiplication wrong (not infinity)
ok 85 - ECPP non-prime last q
ok 86 - Verify Pocklington
ok 87 - Verify BLS15
ok 88 - Verify ECPP3
ok
t/23-random-certs.t .......... 
1..6
ok 1 - Random Maurer prime returns a prime
ok 2 -    with a valid certificate
ok 3 - Random Shawe-Taylor prime returns a prime
ok 4 -    with a valid certificate
ok 5 - Random proven prime returns a prime
ok 6 -    with a valid certificate
ok
t/24-partitions.t ............ 
1..79
ok 1 - partitions(0)
ok 2 - partitions(1)
ok 3 - partitions(2)
ok 4 - partitions(3)
ok 5 - partitions(4)
ok 6 - partitions(5)
ok 7 - partitions(6)
ok 8 - partitions(7)
ok 9 - partitions(8)
ok 10 - partitions(9)
ok 11 - partitions(10)
ok 12 - partitions(11)
ok 13 - partitions(12)
ok 14 - partitions(13)
ok 15 - partitions(14)
ok 16 - partitions(15)
ok 17 - partitions(16)
ok 18 - partitions(17)
ok 19 - partitions(18)
ok 20 - partitions(19)
ok 21 - partitions(20)
ok 22 - partitions(21)
ok 23 - partitions(22)
ok 24 - partitions(23)
ok 25 - partitions(24)
ok 26 - partitions(25)
ok 27 - partitions(26)
ok 28 - partitions(27)
ok 29 - partitions(28)
ok 30 - partitions(29)
ok 31 - partitions(30)
ok 32 - partitions(31)
ok 33 - partitions(32)
ok 34 - partitions(33)
ok 35 - partitions(34)
ok 36 - partitions(35)
ok 37 - partitions(36)
ok 38 - partitions(37)
ok 39 - partitions(38)
ok 40 - partitions(39)
ok 41 - partitions(40)
ok 42 - partitions(41)
ok 43 - partitions(42)
ok 44 - partitions(43)
ok 45 - partitions(44)
ok 46 - partitions(45)
ok 47 - partitions(46)
ok 48 - partitions(47)
ok 49 - partitions(48)
ok 50 - partitions(49)
ok 51 - partitions(50)
ok 52 - partitions(101)
ok 53 - partitions(256)
ok 54 - forpart 0
ok 55 - forpart 1
ok 56 - forpart 2
ok 57 - forpart 3
ok 58 - forpart 4
ok 59 - forpart 6
ok 60 - forpart 17 restricted n=[2,2]
ok 61 - forpart 27 restricted nmax 5
ok 62 - forpart 27 restricted nmin 20
ok 63 - forpart 19 restricted n=[10..13]
ok 64 - forpart 20 restricted amax 4
ok 65 - forpart 15 restricted amin 4
ok 66 - forpart 21 restricted a=[3..6]
ok 67 - forpart 22 restricted n=4 and a=[3..6]
ok 68 - forpart 20 restricted to odd primes
ok 69 - forpart 21 restricted amax 0
ok 70 - A007963(89) = number of odd-prime 3-tuples summing to 2*89+1 = 86
ok 71 - 23 partitioned into 4 with mininum 2 => 54
ok 72 - 23 partitioned into 4 with mininum 2 and prime => 5
ok 73 - 23 partitioned into 4 with mininum 2 and composite => 1
ok 74 - forcomp 0
ok 75 - forcomp 1
ok 76 - forcomp 2
ok 77 - forcomp 3
ok 78 - forcomp 5 restricted n=3
ok 79 - forcomp 12 restricted n=3,a=[3..5]
ok
t/25-lucas_sequences.t ....... 
1..52
ok 1 - lucas_sequence U_n(1 -1) -- Fibonacci numbers
ok 2 - lucas_sequence V_n(1 -1) -- Lucas numbers
ok 3 - lucas_sequence U_n(2 -1) -- Pell numbers
ok 4 - lucas_sequence V_n(2 -1) -- Pell-Lucas numbers
ok 5 - lucas_sequence U_n(1 -2) -- Jacobsthal numbers
ok 6 - lucas_sequence V_n(1 -2) -- Jacobsthal-Lucas numbers
ok 7 - lucas_sequence U_n(2 2) -- sin(x)*exp(x)
ok 8 - lucas_sequence V_n(2 2) -- offset sin(x)*exp(x)
ok 9 - lucas_sequence U_n(2 5) -- A045873
ok 10 - lucas_sequence U_n(3 -5) -- 3*a(n-1)+5*a(n-2) [0,1]
ok 11 - lucas_sequence V_n(3 -5) -- 3*a(n-1)+5*a(n-2) [2,3]
ok 12 - lucas_sequence U_n(3 -4) -- 3*a(n-1)+4*a(n-2) [0,1]
ok 13 - lucas_sequence V_n(3 -4) -- 3*a(n-1)+4*a(n-2) [2,3]
ok 14 - lucas_sequence U_n(3 -1) -- A006190
ok 15 - lucas_sequence V_n(3 -1) -- A006497
ok 16 - lucas_sequence U_n(3 1) -- Fibonacci(2n)
ok 17 - lucas_sequence V_n(3 1) -- Lucas(2n)
ok 18 - lucas_sequence U_n(3 2) -- 2^n-1 Mersenne numbers (prime and composite)
ok 19 - lucas_sequence V_n(3 2) -- 2^n+1
ok 20 - lucas_sequence U_n(4 -1) -- Denominators of continued fraction convergents to sqrt(5)
ok 21 - lucas_sequence V_n(4 -1) -- Even Lucas numbers Lucas(3n)
ok 22 - lucas_sequence U_n(4 1) -- A001353
ok 23 - lucas_sequence V_n(4 1) -- A003500
ok 24 - lucas_sequence U_n(5 4) -- (4^n-1)/3
ok 25 - lucas_sequence U_n(4 4) -- n*2^(n-1)
ok 26 - lucasu(1 -1) -- Fibonacci numbers
ok 27 - lucasv(1 -1) -- Lucas numbers
ok 28 - lucasu(2 -1) -- Pell numbers
ok 29 - lucasv(2 -1) -- Pell-Lucas numbers
ok 30 - lucasu(1 -2) -- Jacobsthal numbers
ok 31 - lucasv(1 -2) -- Jacobsthal-Lucas numbers
ok 32 - lucasu(2 2) -- sin(x)*exp(x)
ok 33 - lucasv(2 2) -- offset sin(x)*exp(x)
ok 34 - lucasu(2 5) -- A045873
ok 35 - lucasu(3 -5) -- 3*a(n-1)+5*a(n-2) [0,1]
ok 36 - lucasv(3 -5) -- 3*a(n-1)+5*a(n-2) [2,3]
ok 37 - lucasu(3 -4) -- 3*a(n-1)+4*a(n-2) [0,1]
ok 38 - lucasv(3 -4) -- 3*a(n-1)+4*a(n-2) [2,3]
ok 39 - lucasu(3 -1) -- A006190
ok 40 - lucasv(3 -1) -- A006497
ok 41 - lucasu(3 1) -- Fibonacci(2n)
ok 42 - lucasv(3 1) -- Lucas(2n)
ok 43 - lucasu(3 2) -- 2^n-1 Mersenne numbers (prime and composite)
ok 44 - lucasv(3 2) -- 2^n+1
ok 45 - lucasu(4 -1) -- Denominators of continued fraction convergents to sqrt(5)
ok 46 - lucasv(4 -1) -- Even Lucas numbers Lucas(3n)
ok 47 - lucasu(4 1) -- A001353
ok 48 - lucasv(4 1) -- A003500
ok 49 - lucasu(5 4) -- (4^n-1)/3
ok 50 - lucasu(4 4) -- n*2^(n-1)
ok 51 - OEIS 81264: Odd Fibonacci pseudoprimes
ok 52 - First entry of OEIS A141137: Even Fibonacci pseudoprimes
ok
t/26-combinatorial.t ......... 
1..72
ok 1 - Factorials 0 to 100
ok 2 - factorialmod n! mod m for m 1 to 50, n 0 to m
ok 3 - binomial(0,0)) = 1
ok 4 - binomial(0,1)) = 0
ok 5 - binomial(1,0)) = 1
ok 6 - binomial(1,1)) = 1
ok 7 - binomial(1,2)) = 0
ok 8 - binomial(13,13)) = 1
ok 9 - binomial(13,14)) = 0
ok 10 - binomial(35,16)) = 4059928950
ok 11 - binomial(40,19)) = 131282408400
ok 12 - binomial(67,31)) = 11923179284862717872
ok 13 - binomial(228,12)) = 30689926618143230620
ok 14 - binomial(177,78)) = 3314450882216440395106465322941753788648564665022000
ok 15 - binomial(-10,5)) = -2002
ok 16 - binomial(-11,22)) = 64512240
ok 17 - binomial(-12,23)) = -286097760
ok 18 - binomial(-23,-26)) = -2300
ok 19 - binomial(-12,-23)) = -705432
ok 20 - binomial(12,-23)) = 0
ok 21 - binomial(12,-12)) = 0
ok 22 - binomial(-12,0)) = 1
ok 23 - binomial(0,-1)) = 0
ok 24 - binomial(10,n) for n in -15 .. 15
ok 25 - binomial(-10,n) for n in -15 .. 15
ok 26 - forcomb 0
ok 27 - forcomb 1
ok 28 - forcomb 0,0
ok 29 - forcomb 5,0
ok 30 - forcomb 5,6
ok 31 - forcomb 5,5
ok 32 - forcomb 3 (power set)
ok 33 - forcomb 3,2
ok 34 - forcomb 4,3
ok 35 - binomial(20,15) is 15504
ok 36 - forcomb 20,15 yields binomial(20,15) combinations
ok 37 - forperm 2
ok 38 - forperm 4
ok 39 - forperm 3
ok 40 - forperm 0
ok 41 - forperm 1
ok 42 - forperm 7 yields factorial(7) permutations
ok 43 - formultiperm []
ok 44 - formultiperm 1,2,2
ok 45 - formultiperm a,a,b,b
ok 46 - formultiperm aabb
ok 47 - forderange 0
ok 48 - forderange 1
ok 49 - forderange 2
ok 50 - forderange 3
ok 51 - forderange 7 count
ok 52 - numtoperm(0,0)
ok 53 - numtoperm(1,0)
ok 54 - numtoperm(1,1)
ok 55 - numtoperm(5,15)
ok 56 - numtoperm(24,987654321)
ok 57 - permtonum([])
ok 58 - permtonum([0])
ok 59 - permtonum([6,3,4,2,5,0,1])
ok 60 - permtonum( 20 )
ok 61 - permtonum( 26 )
ok 62 - permtonum(numtoperm)
ok 63 - randperm(0)
ok 64 - randperm(1)
ok 65 - randperm(100,4)
ok 66 - randperm shuffle has shuffled input
ok 67 - randperm shuffle contains original data
ok 68 - shuffle with no args
ok 69 - shuffle with one arg
ok 70 - argument count is the same for 100 elem shuffle
ok 71 - shuffle has shuffled input
ok 72 - shuffle contains original data
ok
t/26-digits.t ................ 
1..39
ok 1 - fromdigits binary with leading 0
ok 2 - fromdigits binary
ok 3 - fromdigits decimal
ok 4 - fromdigits base 3
ok 5 - fromdigits base 16
ok 6 - fromdigits base 16 with overflow
ok 7 - fromdigits base 5 with carry
ok 8 - fromdigits base 3 with carry
ok 9 - fromdigits base 2 with carry
ok 10 - fromdigits hex string
ok 11 - fromdigits decimal
ok 12 - fromdigits with Large base 36 number
ok 13 - todigits 0
ok 14 - todigits 1
ok 15 - todigits 77
ok 16 - todigits 77 base 2
ok 17 - todigits 77 base 3
ok 18 - todigits 77 base 21
ok 19 - todigits 900 base 2
ok 20 - todigits 900 base 2 len 0
ok 21 - todigits 900 base 2 len 3
ok 22 - todigits 900 base 2 len 32
ok 23 - vecsum of todigits of bigint
ok 24 - sumdigits(-45.36)
ok 25 - sumdigits 0 to 1000
ok 26 - sumdigits hex
ok 27 - sumdigits bigint
ok 28 - todigits 1234135634 base 16
ok 29 - todigits 56 base 2 len 8
ok 30 - fromdigits of previous
ok 31 - 56 as binary string
ok 32 - fromdigits of previous
ok 33 - todigitstring 37
ok 34 - fromdigits 5128 base 10
ok 35 - fromdigits 91 base 2
ok 36 - fromdigits 1923 base 10
ok 37 - fromdigits 91 base 2
ok 38 - fromdigits with carry
ok 39 - only last 4 digits
ok
t/26-iscarmichael.t .......... 
1..7
ok 1 - Carmichael numbers to 20000
ok 2 - Large Carmichael
ok 3 # skip Skipping larger Carmichael
ok 4 - Quasi-Carmichael numbers to 400
ok 5 - 95 Quasi-Carmichael numbers under 5000
ok 6 - 5092583 is a Quasi-Carmichael number with 1 base
ok 7 - 777923 is a Quasi-Carmichael number with 7 bases
ok
t/26-isfundamental.t ......... 
1..4
ok 1 - is_fundamental(-50 .. 0)
ok 2 - is_fundamental(0 .. 50)
ok 3 - is_fundamental(2^67+9)
ok 4 - is_fundamental(-2^67+44)
ok
t/26-ispower.t ............... 
1..57
ok 1 - is_power 0 .. 32
ok 2 - is_prime_power 0 .. 32
ok 3 - is_power 200 small ints
ok 4 - is_prime_power 200 small ints
ok 5 - ispower  =>  609359740010496 = 6^19 (6 19)
ok 6 - ispower  =>  789730223053602816 = 6^23 (6 23)
ok 7 - ispower  =>  4738381338321616896 = 6^24 (6 24)
ok 8 - ispower  =>  12157665459056928801 = 3^40 (3 40)
ok 9 - ispower  =>  4611686018427387904 = 2^62 (2 62)
ok 10 - ispower  =>  9223372036854775808 = 2^63 (2 63)
ok 11 - ispower  =>  10000000000000000000 = 10^19 (10 19)
ok 12 - ispower  =>  16926659444736 = 6^17 (6 17)
ok 13 - ispower  =>  100000000000000000 = 10^17 (10 17)
ok 14 - isprimepower  =>  15181127029874798299 = 19^15 (19 15)
ok 15 - isprimepower  =>  617673396283947 = 3^31 (3 31)
ok 16 - isprimepower  =>  450283905890997363 = 3^37 (3 37)
ok 17 - isprimepower  =>  762939453125 = 5^17 (5 17)
ok 18 - isprimepower  =>  11920928955078125 = 5^23 (5 23)
ok 19 - isprimepower  =>  2862423051509815793 = 17^15 (17 15)
ok 20 - isprimepower  =>  7450580596923828125 = 5^27 (5 27)
ok 21 - isprimepower  =>  68630377364883 = 3^29 (3 29)
ok 22 - isprimepower  =>  12157665459056928801 = 3^40 (3 40)
ok 23 - isprimepower  =>  3909821048582988049 = 7^22 (7 22)
ok 24 - isprimepower  =>  8650415919381337933 = 13^17 (13 17)
ok 25 - isprimepower  =>  5559917313492231481 = 11^18 (11 18)
ok 26 - isprimepower  =>  11398895185373143 = 7^19 (7 19)
ok 27 - isprimepower  =>  232630513987207 = 7^17 (7 17)
ok 28 - -8 is a third power
ok 29 - -8 is a third power of -2
ok 30 - -8 is not a fourth power
ok 31 - -16 is not a fourth power
ok 32 - is_power returns 4 for 
ok 33 - is_power returns 0 for 
ok 34 - is_power returns 2 for 
ok 35 - is_power returns 9 for 
ok 36 - is_power returns 3 for 
ok 37 - is_power(-7^0 ) = 0
ok 38 - is_power(-7^1 ) = 0
ok 39 - is_power(-7^2 ) = 0
ok 40 - is_power(-7^3 ) = 3
ok 41 - is_power(-7^4 ) = 0
ok 42 - is_power(-7^5 ) = 5
ok 43 - is_power(-7^6 ) = 3
ok 44 - is_power(-7^7 ) = 7
ok 45 - is_power(-7^8 ) = 0
ok 46 - is_power(-7^9 ) = 9
ok 47 - is_power(-7^10 ) = 5
ok 48 - -1 is a 5th power
ok 49 - 24 isn't a perfect square...
ok 50 - ...and the root wasn't set
ok 51 - 1000031^3 is a perfect cube...
ok 52 - ...and the root was set
ok 53 - 36^5 is a 10th power...
ok 54 - ...and the root is 6
ok 55 - is_square for -4 .. 16
ok 56 - 603729 is a square
ok 57 - is_square(<square of 80-bit prime>) = 1
ok
t/26-issemiprime.t ........... 
1..6
ok 1 - Semiprimes that were incorrectly calculated in v0.70
ok 2 - Identify semiprimes from 10000 to 10100
ok 3 - is_semiprime(669386384129397581)
ok 4 - is_semiprime(10631816576169524657)
ok 5 - is_semiprime(1814186289136250293214268090047441303)
ok 6 - is_semiprime(42535430147496493121551759)
ok
t/26-issquarefree.t .......... 
1..56
ok 1 - is_square_free(8)
ok 2 - is_square_free(-8)
ok 3 - is_square_free(0)
ok 4 - is_square_free(-0)
ok 5 - is_square_free(4)
ok 6 - is_square_free(-4)
ok 7 - is_square_free(602721315)
ok 8 - is_square_free(-602721315)
ok 9 - is_square_free(5)
ok 10 - is_square_free(-5)
ok 11 - is_square_free(12)
ok 12 - is_square_free(-12)
ok 13 - is_square_free(434420340)
ok 14 - is_square_free(-434420340)
ok 15 - is_square_free(723570005)
ok 16 - is_square_free(-723570005)
ok 17 - is_square_free(10)
ok 18 - is_square_free(-10)
ok 19 - is_square_free(14)
ok 20 - is_square_free(-14)
ok 21 - is_square_free(7)
ok 22 - is_square_free(-7)
ok 23 - is_square_free(752518565)
ok 24 - is_square_free(-752518565)
ok 25 - is_square_free(9)
ok 26 - is_square_free(-9)
ok 27 - is_square_free(506916483)
ok 28 - is_square_free(-506916483)
ok 29 - is_square_free(758096738)
ok 30 - is_square_free(-758096738)
ok 31 - is_square_free(15)
ok 32 - is_square_free(-15)
ok 33 - is_square_free(11)
ok 34 - is_square_free(-11)
ok 35 - is_square_free(6)
ok 36 - is_square_free(-6)
ok 37 - is_square_free(2)
ok 38 - is_square_free(-2)
ok 39 - is_square_free(1)
ok 40 - is_square_free(-1)
ok 41 - is_square_free(16)
ok 42 - is_square_free(-16)
ok 43 - is_square_free(695486396)
ok 44 - is_square_free(-695486396)
ok 45 - is_square_free(870589313)
ok 46 - is_square_free(-870589313)
ok 47 - is_square_free(617459403)
ok 48 - is_square_free(-617459403)
ok 49 - is_square_free(418431087)
ok 50 - is_square_free(-418431087)
ok 51 - is_square_free(13)
ok 52 - is_square_free(-13)
ok 53 - is_square_free(3)
ok 54 - is_square_free(-3)
ok 55 - 815373060690029363516051578884163974 is square free
ok 56 - 638277566021123181834824715385258732627350 is not square free
ok
t/26-istotient.t ............. 
1..8
ok 1 - is_totient 0 .. 40
ok 2 - is_fundamental(2^29_1 .. 2^29+80)
ok 3 - is_totient(2^63+28)
ok 4 - is_totient(2^63+20)
ok 5 - is_totient(2^63+24)
ok 6 - is_totient(2^83+88)
ok 7 # skip Skipping is_totient for 2^83 + ...
ok 8 # skip Skipping is_totient for 2^83 + ...
ok
t/26-mod.t ................... 
1..45
ok 1 - invmod(undef,11)
ok 2 - invmod(11,undef)
ok 3 - invmod('nan',11)
ok 4 - invmod(0,0) = <undef>
ok 5 - invmod(1,0) = <undef>
ok 6 - invmod(0,1) = <undef>
ok 7 - invmod(1,1) = 0
ok 8 - invmod(45,59) = 21
ok 9 - invmod(42,2017) = 1969
ok 10 - invmod(42,-2017) = 1969
ok 11 - invmod(-42,2017) = 48
ok 12 - invmod(-42,-2017) = 48
ok 13 - invmod(14,28474) = <undef>
ok 14 - invmod(13,9223372036854775808) = 5675921253449092805
ok 15 - invmod(14,18446744073709551615) = 17129119497016012214
ok 16 - sqrtmod(0,0) = <undef>
ok 17 - sqrtmod(1,0) = <undef>
ok 18 - sqrtmod(0,1) = 0
ok 19 - sqrtmod(1,1) = 0
ok 20 - sqrtmod(58,101) = 19
ok 21 - sqrtmod(111,113) = 26
ok 22 - sqrtmod(37,999221) = 9946
ok 23 - sqrtmod(30,1000969) = 89676
ok 24 - sqrtmod(9223372036854775808,5675921253449092823) = 22172359690642254
ok 25 - sqrtmod(18446744073709551625,340282366920938463463374607431768211507) = 57825146747270203522128844001742059051
ok 26 - sqrtmod(30,74) = 20
ok 27 - sqrtmod(56,1018) = 458
ok 28 - sqrtmod(42,979986) = 356034
ok 29 - addmod(..,0)
ok 30 - mulmod(..,0)
ok 31 - divmod(..,0)
ok 32 - powmod(..,0)
ok 33 - addmod(..,1)
ok 34 - mulmod(..,1)
ok 35 - divmod(..,1)
ok 36 - powmod(..,1)
ok 37 - addmod on 30 random inputs
ok 38 - addmod with negative second input on 30 random inputs
ok 39 - mulmod on 30 random inputs
ok 40 - mulmod with negative second input on 30 random inputs
ok 41 - divmod(0,14,53) = mulmod(0,invmod(14,53),53) = mulmod(0,19,53) = 0
ok 42 - divmod on 30 random inputs
ok 43 - divmod with negative second input on 30 random inputs
ok 44 - powmod on 30 random inputs
ok 45 - powmod with negative exponent on 30 random inputs
ok
t/26-pillai.t ................ 
1..2
ok 1 - 1059511 is a Pillai prime
ok 2 - is_pillai from -10 to 1000
ok
t/26-polygonal.t ............. 
1..48
ok 1 - is_polygonal finds first 10 3-gonal numbers
ok 2 - is_polygonal finds first 10 4-gonal numbers
ok 3 - is_polygonal finds first 10 5-gonal numbers
ok 4 - is_polygonal finds first 10 6-gonal numbers
ok 5 - is_polygonal finds first 10 7-gonal numbers
ok 6 - is_polygonal finds first 10 8-gonal numbers
ok 7 - is_polygonal finds first 10 9-gonal numbers
ok 8 - is_polygonal finds first 10 10-gonal numbers
ok 9 - is_polygonal finds first 10 11-gonal numbers
ok 10 - is_polygonal finds first 10 12-gonal numbers
ok 11 - is_polygonal finds first 10 13-gonal numbers
ok 12 - is_polygonal finds first 10 14-gonal numbers
ok 13 - is_polygonal finds first 10 15-gonal numbers
ok 14 - is_polygonal finds first 10 16-gonal numbers
ok 15 - is_polygonal finds first 10 17-gonal numbers
ok 16 - is_polygonal finds first 10 18-gonal numbers
ok 17 - is_polygonal finds first 10 19-gonal numbers
ok 18 - is_polygonal finds first 10 20-gonal numbers
ok 19 - is_polygonal finds first 10 21-gonal numbers
ok 20 - is_polygonal finds first 10 22-gonal numbers
ok 21 - is_polygonal finds first 10 23-gonal numbers
ok 22 - is_polygonal finds first 10 24-gonal numbers
ok 23 - is_polygonal finds first 10 25-gonal numbers
ok 24 - is_polygonal correct 3-gonal n
ok 25 - is_polygonal correct 4-gonal n
ok 26 - is_polygonal correct 5-gonal n
ok 27 - is_polygonal correct 6-gonal n
ok 28 - is_polygonal correct 7-gonal n
ok 29 - is_polygonal correct 8-gonal n
ok 30 - is_polygonal correct 9-gonal n
ok 31 - is_polygonal correct 10-gonal n
ok 32 - is_polygonal correct 11-gonal n
ok 33 - is_polygonal correct 12-gonal n
ok 34 - is_polygonal correct 13-gonal n
ok 35 - is_polygonal correct 14-gonal n
ok 36 - is_polygonal correct 15-gonal n
ok 37 - is_polygonal correct 16-gonal n
ok 38 - is_polygonal correct 17-gonal n
ok 39 - is_polygonal correct 18-gonal n
ok 40 - is_polygonal correct 19-gonal n
ok 41 - is_polygonal correct 20-gonal n
ok 42 - is_polygonal correct 21-gonal n
ok 43 - is_polygonal correct 22-gonal n
ok 44 - is_polygonal correct 23-gonal n
ok 45 - is_polygonal correct 24-gonal n
ok 46 - is_polygonal correct 25-gonal n
ok 47 - 724424175519274711242 is not a triangular number
ok 48 - 510622052816898545467859772308206986101878 is a triangular number
ok
t/26-vec.t ................... 
1..76
ok 1 - vecmin() = undef
ok 2 - vecmin(1) = 1
ok 3 - vecmin(0) = 0
ok 4 - vecmin(-1) = -1
ok 5 - vecmin(1 2) = 1
ok 6 - vecmin(2 1) = 1
ok 7 - vecmin(2 1) = 1
ok 8 - vecmin(0 4 -5 6 -6 0) = -6
ok 9 - vecmin(0 4 -5 7 -6 0) = -6
ok 10 - vecmin(81033966278481626507 27944220269257565027) = 27944220269257565027
ok 11 - vecmin(18446744073704516093 18446744073706008451 18446744073706436837 18446744073707776433 18446744073702959347 18446744073702958477) = 18446744073702958477
ok 12 - vecmin(-9223372036852260673 -9223372036852260731 -9223372036850511139 -9223372036850207017 -9223372036852254557 -9223372036849473359) = -9223372036852260731
ok 13 - vecmin(9223372036852278343 -9223372036853497487 -9223372036844936897 -9223372036850971897 -9223372036853497843 9223372036848046999) = -9223372036853497843
ok 14 - vecmax() = undef
ok 15 - vecmax(1) = 1
ok 16 - vecmax(0) = 0
ok 17 - vecmax(-1) = -1
ok 18 - vecmax(1 2) = 2
ok 19 - vecmax(2 1) = 2
ok 20 - vecmax(2 1) = 2
ok 21 - vecmax(0 4 -5 6 -6 0) = 6
ok 22 - vecmax(0 4 -5 7 -8 0) = 7
ok 23 - vecmax(27944220269257565027 81033966278481626507) = 81033966278481626507
ok 24 - vecmax(18446744070011576186 18446744070972009258 18446744071127815503 18446744072030630259 18446744072030628952 18446744071413452589) = 18446744072030630259
ok 25 - vecmax(18446744073702156661 18446744073707508539 18446744073700111529 18446744073707506771 18446744073707086091 18446744073704381821) = 18446744073707508539
ok 26 - vecmax(-9223372036853227739 -9223372036847631197 -9223372036851632173 -9223372036847631511 -9223372036852712261 -9223372036851707899) = -9223372036847631197
ok 27 - vecmax(-9223372036846673813 9223372036846154833 -9223372036851103423 9223372036846154461 -9223372036849190963 -9223372036847538803) = 9223372036846154833
ok 28 - vecsum() = 0
ok 29 - vecsum(-1) = -1
ok 30 - vecsum(1 -1) = 0
ok 31 - vecsum(-1 1) = 0
ok 32 - vecsum(-1 1) = 0
ok 33 - vecsum(-2147483648 2147483648) = 0
ok 34 - vecsum(-4294967296 4294967296) = 0
ok 35 - vecsum(-9223372036854775808 9223372036854775808) = 0
ok 36 - vecsum(18446744073709551615 -18446744073709551615 18446744073709551615) = 18446744073709551615
ok 37 - vecsum(18446744073709551616 18446744073709551616 18446744073709551616) = 55340232221128654848
ok 38 - vecsum(18446744073709540400 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000) = 18446744073709620400
ok 39 - vecprod() = 1
ok 40 - vecprod(1) = 1
ok 41 - vecprod(-1) = -1
ok 42 - vecprod(-1 -2) = 2
ok 43 - vecprod(-1 -2) = 2
ok 44 - vecprod(32767 -65535) = -2147385345
ok 45 - vecprod(32767 -65535) = -2147385345
ok 46 - vecprod(32768 -65535) = -2147450880
ok 47 - vecprod(32768 -65536) = -2147483648
ok 48 - vecprod matches factorial for 0 .. 50
ok 49 - vecreduce with empty list is undef
ok 50 - vecreduce with (a) is a and does not call the sub
ok 51 - vecreduce [xor] (4,2) => 6
ok 52 - vecreduce product of squares
ok 53 - vecextract bits
ok 54 - vecextract list
ok 55 - any true
ok 56 - any false
ok 57 - any empty list
ok 58 - all true
ok 59 - all false
ok 60 - all empty list
ok 61 - notall true
ok 62 - notall false
ok 63 - notall empty list
ok 64 - none true
ok 65 - none false
ok 66 - none empty list
ok 67 - first success
ok 68 - first failure
ok 69 - first empty list
ok 70 - first with reference args
ok 71 - first returns in loop
ok 72 - first idx success
ok 73 - first idx failure
ok 74 - first idx empty list
ok 75 - first idx with reference args
ok 76 - first idx returns in loop
ok
t/27-bernfrac.t .............. 
1..91
ok 1 - B_2n numerators 0 .. 20
ok 2 - B_2n denominators 0 .. 20
ok 3 - bernreal(0)
ok 4 - bernreal(1)
ok 5 - bernreal(2)
ok 6 - bernreal(3)
ok 7 - bernreal(4)
ok 8 - bernreal(5)
ok 9 - bernreal(6)
ok 10 - bernreal(7)
ok 11 - bernreal(8)
ok 12 - bernreal(9)
ok 13 - bernreal(10)
ok 14 - bernreal(11)
ok 15 - bernreal(12)
ok 16 - bernreal(13)
ok 17 - bernreal(14)
ok 18 - bernreal(15)
ok 19 - bernreal(16)
ok 20 - bernreal(17)
ok 21 - bernreal(18)
ok 22 - bernreal(19)
ok 23 - bernreal(20)
ok 24 - bernreal(21)
ok 25 - bernreal(22)
ok 26 - bernreal(23)
ok 27 - bernreal(24)
ok 28 - H_n numerators 0 .. 20
ok 29 - H_n denominators 0 .. 20
ok 30 - harmreal(0)
ok 31 - harmreal(1)
ok 32 - harmreal(2)
ok 33 - harmreal(3)
ok 34 - harmreal(4)
ok 35 - harmreal(5)
ok 36 - harmreal(6)
ok 37 - harmreal(7)
ok 38 - harmreal(8)
ok 39 - harmreal(9)
ok 40 - harmreal(10)
ok 41 - harmreal(11)
ok 42 - harmreal(12)
ok 43 - harmreal(13)
ok 44 - harmreal(14)
ok 45 - harmreal(15)
ok 46 - harmreal(16)
ok 47 - harmreal(17)
ok 48 - harmreal(18)
ok 49 - harmreal(19)
ok 50 - harmreal(20)
ok 51 - Expected fail: stirling with negative args
ok 52 - Expected fail: stirling type 4
ok 53 - Stirling 3: L(0,0..1)
ok 54 - Stirling 3: L(1,0..2)
ok 55 - Stirling 3: L(2,0..3)
ok 56 - Stirling 3: L(3,0..4)
ok 57 - Stirling 3: L(4,0..5)
ok 58 - Stirling 3: L(5,0..6)
ok 59 - Stirling 3: L(6,0..7)
ok 60 - Stirling 3: L(7,0..8)
ok 61 - Stirling 3: L(8,0..9)
ok 62 - Stirling 3: L(9,0..10)
ok 63 - Stirling 3: L(10,0..11)
ok 64 - Stirling 3: L(11,0..12)
ok 65 - Stirling 3: L(12,0..13)
ok 66 - Stirling 2: S(0,0..1)
ok 67 - Stirling 2: S(1,0..2)
ok 68 - Stirling 2: S(2,0..3)
ok 69 - Stirling 2: S(3,0..4)
ok 70 - Stirling 2: S(4,0..5)
ok 71 - Stirling 2: S(5,0..6)
ok 72 - Stirling 2: S(6,0..7)
ok 73 - Stirling 2: S(7,0..8)
ok 74 - Stirling 2: S(8,0..9)
ok 75 - Stirling 2: S(9,0..10)
ok 76 - Stirling 2: S(10,0..11)
ok 77 - Stirling 2: S(11,0..12)
ok 78 - Stirling 2: S(12,0..13)
ok 79 - Stirling 1: s(0,0..1)
ok 80 - Stirling 1: s(1,0..2)
ok 81 - Stirling 1: s(2,0..3)
ok 82 - Stirling 1: s(3,0..4)
ok 83 - Stirling 1: s(4,0..5)
ok 84 - Stirling 1: s(5,0..6)
ok 85 - Stirling 1: s(6,0..7)
ok 86 - Stirling 1: s(7,0..8)
ok 87 - Stirling 1: s(8,0..9)
ok 88 - Stirling 1: s(9,0..10)
ok 89 - Stirling 1: s(10,0..11)
ok 90 - Stirling 1: s(11,0..12)
ok 91 - Stirling 1: s(12,0..13)
ok
t/28-pi.t .................... 
1..15
ok 1 - Pi(0) gives floating point pi
ok 2 - Pi(1) = 3
ok 3 - Pi(2 .. 50)
ok 4 - Pi(760)
ok 5 - Pi(761)
ok 6 - Pi(762)
ok 7 - Pi(763)
ok 8 - Pi(764)
ok 9 - Pi(765)
ok 10 - Pi(766)
ok 11 - Pi(767)
ok 12 - Pi(768)
ok 13 - Pi(769)
ok 14 - Pi(770)
ok 15 - XS _pidigits
ok
t/29-mersenne.t .............. 
1..1
ok 1 - Find Mersenne primes from 0 to 127
ok
t/30-relations.t ............. 
1..85
ok 1 - Prime count and scalar primes agree for 1
ok 2 - scalar primes(0+1,1) = prime_count(1) - prime_count(0)
ok 3 - Pi(pn)) = n for 1
ok 4 - p(Pi(n)+1) = next_prime(n) for 1
ok 5 - p(Pi(n)) = prev_prime(n) for 1
ok 6 - Prime count and scalar primes agree for 2
ok 7 - scalar primes(1+1,2) = prime_count(2) - prime_count(1)
ok 8 - Pi(pn)) = n for 2
ok 9 - p(Pi(n)+1) = next_prime(n) for 2
ok 10 - p(Pi(n)) = prev_prime(n) for 2
ok 11 - Prime count and scalar primes agree for 3
ok 12 - scalar primes(2+1,3) = prime_count(3) - prime_count(2)
ok 13 - Pi(pn)) = n for 3
ok 14 - p(Pi(n)+1) = next_prime(n) for 3
ok 15 - p(Pi(n)) = prev_prime(n) for 3
ok 16 - Prime count and scalar primes agree for 4
ok 17 - scalar primes(3+1,4) = prime_count(4) - prime_count(3)
ok 18 - Pi(pn)) = n for 4
ok 19 - p(Pi(n)+1) = next_prime(n) for 4
ok 20 - p(Pi(n)) = prev_prime(n) for 4
ok 21 - Prime count and scalar primes agree for 5
ok 22 - scalar primes(4+1,5) = prime_count(5) - prime_count(4)
ok 23 - Pi(pn)) = n for 5
ok 24 - p(Pi(n)+1) = next_prime(n) for 5
ok 25 - p(Pi(n)) = prev_prime(n) for 5
ok 26 - Prime count and scalar primes agree for 6
ok 27 - scalar primes(5+1,6) = prime_count(6) - prime_count(5)
ok 28 - Pi(pn)) = n for 6
ok 29 - p(Pi(n)+1) = next_prime(n) for 6
ok 30 - p(Pi(n)) = prev_prime(n) for 6
ok 31 - Prime count and scalar primes agree for 7
ok 32 - scalar primes(6+1,7) = prime_count(7) - prime_count(6)
ok 33 - Pi(pn)) = n for 7
ok 34 - p(Pi(n)+1) = next_prime(n) for 7
ok 35 - p(Pi(n)) = prev_prime(n) for 7
ok 36 - Prime count and scalar primes agree for 17
ok 37 - scalar primes(7+1,17) = prime_count(17) - prime_count(7)
ok 38 - Pi(pn)) = n for 17
ok 39 - p(Pi(n)+1) = next_prime(n) for 17
ok 40 - p(Pi(n)) = prev_prime(n) for 17
ok 41 - Prime count and scalar primes agree for 57
ok 42 - scalar primes(17+1,57) = prime_count(57) - prime_count(17)
ok 43 - Pi(pn)) = n for 57
ok 44 - p(Pi(n)+1) = next_prime(n) for 57
ok 45 - p(Pi(n)) = prev_prime(n) for 57
ok 46 - Prime count and scalar primes agree for 89
ok 47 - scalar primes(57+1,89) = prime_count(89) - prime_count(57)
ok 48 - Pi(pn)) = n for 89
ok 49 - p(Pi(n)+1) = next_prime(n) for 89
ok 50 - p(Pi(n)) = prev_prime(n) for 89
ok 51 - Prime count and scalar primes agree for 102
ok 52 - scalar primes(89+1,102) = prime_count(102) - prime_count(89)
ok 53 - Pi(pn)) = n for 102
ok 54 - p(Pi(n)+1) = next_prime(n) for 102
ok 55 - p(Pi(n)) = prev_prime(n) for 102
ok 56 - Prime count and scalar primes agree for 1337
ok 57 - scalar primes(102+1,1337) = prime_count(1337) - prime_count(102)
ok 58 - Pi(pn)) = n for 1337
ok 59 - p(Pi(n)+1) = next_prime(n) for 1337
ok 60 - p(Pi(n)) = prev_prime(n) for 1337
ok 61 - Prime count and scalar primes agree for 8573
ok 62 - scalar primes(1337+1,8573) = prime_count(8573) - prime_count(1337)
ok 63 - Pi(pn)) = n for 8573
ok 64 - p(Pi(n)+1) = next_prime(n) for 8573
ok 65 - p(Pi(n)) = prev_prime(n) for 8573
ok 66 - Prime count and scalar primes agree for 84763
ok 67 - scalar primes(8573+1,84763) = prime_count(84763) - prime_count(8573)
ok 68 - Pi(pn)) = n for 84763
ok 69 - p(Pi(n)+1) = next_prime(n) for 84763
ok 70 - p(Pi(n)) = prev_prime(n) for 84763
ok 71 - Prime count and scalar primes agree for 784357
ok 72 - scalar primes(84763+1,784357) = prime_count(784357) - prime_count(84763)
ok 73 - Pi(pn)) = n for 784357
ok 74 - p(Pi(n)+1) = next_prime(n) for 784357
ok 75 - p(Pi(n)) = prev_prime(n) for 784357
ok 76 - Prime count and scalar primes agree for 1000001
ok 77 - scalar primes(784357+1,1000001) = prime_count(1000001) - prime_count(784357)
ok 78 - Pi(pn)) = n for 1000001
ok 79 - p(Pi(n)+1) = next_prime(n) for 1000001
ok 80 - p(Pi(n)) = prev_prime(n) for 1000001
ok 81 - Prime count and scalar primes agree for 2573622
ok 82 - scalar primes(1000001+1,2573622) = prime_count(2573622) - prime_count(1000001)
ok 83 - Pi(pn)) = n for 2573622
ok 84 - p(Pi(n)+1) = next_prime(n) for 2573622
ok 85 - p(Pi(n)) = prev_prime(n) for 2573622
ok
t/31-threading.t ............. skipped: only in release or extended testing
t/32-iterators.t ............. 
1..110
ok 1 - forprimes undef
ok 2 - forprimes 2,undef
ok 3 - forprimes 2,undef
ok 4 - forprimes -2,3
ok 5 - forprimes 2,-3
ok 6 - forprimes abc
ok 7 - forprimes 2, abc
ok 8 - forprimes abc
ok 9 - forprimes 1
ok 10 - forprimes 3
ok 11 - forprimes 3
ok 12 - forprimes 4
ok 13 - forprimes 5
ok 14 - forprimes 3,5
ok 15 - forprimes 3,6
ok 16 - forprimes 3,7
ok 17 - forprimes 5,7
ok 18 - forprimes 6,7
ok 19 - forprimes 5,11
ok 20 - forprimes 7,11
ok 21 - forprimes 50
ok 22 - forprimes 2,20
ok 23 - forprimes 20,30
ok 24 - forprimes 199,223
ok 25 - forprimes 31398,31468 (empty region)
ok 26 - forprimes 2147483647,2147483659
ok 27 - forprimes 3842610774,3842611326
ok 28 - forcomposites 2147483647,2147483659
ok 29 - forcomposites 50
ok 30 - forcomposites 200,410
ok 31 - fordivisors: d|54321: a+=d+d^2
ok 32 - A027750 using fordivisors
ok 33 - iterator -2
ok 34 - iterator abc
ok 35 - iterator 4.5
ok 36 - iterator first 10 primes
ok 37 - iterator 5 primes starting at 47
ok 38 - iterator 3 primes starting at 199
ok 39 - iterator 3 primes starting at 200
ok 40 - iterator 3 primes starting at 31397
ok 41 - iterator 3 primes starting at 31396
ok 42 - iterator 3 primes starting at 31398
ok 43 - forprimes handles $_ type changes
ok 44 - triple nested forprimes
ok 45 - triple nested iterator
ok 46 - forprimes with BigInt range
ok 47 - forprimes with BigFloat range
ok 48 - iterator 3 primes with BigInt start
ok 49 - iterator -2
ok 50 - iterator abc
ok 51 - iterator 4.5
ok 52 - iterator first 10 primes
ok 53 - iterator 5 primes starting at 47
ok 54 - iterator 3 primes starting at 199
ok 55 - iterator 3 primes starting at 200
ok 56 - iterator 3 primes starting at 31397
ok 57 - iterator 3 primes starting at 31396
ok 58 - iterator 3 primes starting at 31398
ok 59 - iterator object moved forward 10 now returns 31
ok 60 - iterator object moved back now returns 29
ok 61 - iterator object iterates to 29
ok 62 - iterator object iterates to 31
ok 63 - iterator object rewind and move returns 5
ok 64 - internal check, next_prime on big int works
ok 65 - iterator object can rewind to 18446744073709551557
ok 66 - iterator object next is 18446744073709551629
ok 67 - iterator object rewound to ~0 is 18446744073709551629
ok 68 - iterator object prev goes back to 18446744073709551557
ok 69 - iterator object tell_i
ok 70 - iterator object i_start = 1
ok 71 - iterator object description
ok 72 - iterator object values_min = 2
ok 73 - iterator object values_max = undef
ok 74 - iterator object oeis_anum = A000040
ok 75 - iterator object seek_to_i goes to nth prime
ok 76 - iterator object seek_to_value goes to value
ok 77 - iterator object ith returns nth prime
ok 78 - iterator object pred returns true if is_prime
ok 79 - iterator object value_to_i works
ok 80 - iterator object value_to_i for non-prime returns undef
ok 81 - iterator object value_to_i_floor
ok 82 - iterator object value_to_i_ceil
ok 83 - iterator object value_to_i_estimage is in range
ok 84 - lastfor works in forprimes
ok 85 - lastfor works in forcomposites
ok 86 - lastfor works in foroddcomposites
ok 87 - lastfor works in fordivisors
ok 88 - lastfor works in forpart
ok 89 - lastfor works in forcomp
ok 90 - lastfor works in forcomb
ok 91 - lastfor works in forperm
ok 92 - lastfor works in forderange
ok 93 - lastfor works in formultiperm
ok 94 - nested lastfor semantics
ok 95 - lastfor in forcomposites stops appropriately
ok 96 - forfactored {} 1
ok 97 - forfactored {} 100
ok 98 - forsquarefree {} 100
ok 99 - forfactored {} 10^8,10^8+10
ok 100 - A053462 using forsquarefree
ok 101 - forsemiprimes 1000
ok 102 - forsetproduct not array ref errors
ok 103 - forsetproduct empty input -> empty output
ok 104 - forsetproduct single list -> single list
ok 105 - forsetproduct five 1-element lists -> single list
ok 106 - forsetproduct any empty list -> empty output
ok 107 - forsetproduct any empty list -> empty output
ok 108 - forsetproduct simple test
ok 109 - forsetproduct modify size of @_ in block
ok 110 - forsetproduct replace @_ in sub
ok
t/33-examples.t .............. skipped: these tests are for release candidate testing
# CORE::rand: drand48 (yech). Our PRNG: ChaCha20
t/34-random.t ................ 
1..28
ok 1 - CSPRNG is being seeded properly
ok 2 - irand values are 32-bit
ok 3 - irand values are integers
ok 4 - irand64 all bits on in 7 iterations
ok 5 - irand64 all bits off in 7 iterations
ok 6 - drand values between 0 and 1-eps
ok 7 - drand supplies at least 21 bits (got 53)
ok 8 - drand(10): all in range [0,10)
ok 9 - drand(): all in range [0,1)
ok 10 - drand(-10): all in range (-10,0]
ok 11 - drand(0): all in range [0,1)
ok 12 - drand(undef): all in range [0,1)
ok 13 - random_bytes after srand
ok 14 - random_bytes after manual seed
ok 15 - irand after seed
ok 16 - drand after seed 0.0459118340827543 ~ 0.0459118340827543
ok 17 - random_bytes(0) returns empty string
ok 18 - urandomb(0) returns 0
ok 19 - urandomm(0) returns 0
ok 20 - urandomm(1) returns 0
ok 21 - urandomb returns native int within range for 1..64
ok 22 - urandomm returns native int within range for 1..50
ok 23 - urandomm(10) generated 10 distinct values
ok 24 - urandomm(10) values between 0 and 9 (0 1 2 3 4 5 6 7 8 9)
ok 25 - entropy_bytes gave us the right number of bytes
ok 26 - entropy_bytes didn't return all zeros once
ok 27 - entropy_bytes didn't return all zeros twice
ok 28 - entropy_bytes returned two different binary strings
ok
t/35-cipher.t ................ 
1..6
ok 1 - Ciphertext is probably ChaCha/20 expected result
ok 2 - We at least vaguely changed the text
ok 3 - Different key makes different ChaCha/20 result
ok 4 - We can reproduce the cipher
ok 5 - We can decode using the same key.
ok 6 - Different nonce produces different data
ok
t/35-rand-tag.t .............. 
1..6
ok 1 - srand returns result
ok 2 - ChaCha20 irand
ok 3 - ChaCha20 irand
ok 4 - ChaCha20 drand
ok 5 - Replicates after srand
ok 6 - ChaCha20 irand64
ok
t/50-factoring.t ............. 
1..459
ok 1 - 0 = [ 0 ]
ok 2 -    each factor is not prime
ok 3 -    factor_exp looks right
ok 4 - 1 = [  ]
ok 5 -    each factor is prime
ok 6 -    factor_exp looks right
ok 7 - 2 = [ 2 ]
ok 8 -    each factor is prime
ok 9 -    factor_exp looks right
ok 10 - 3 = [ 3 ]
ok 11 -    each factor is prime
ok 12 -    factor_exp looks right
ok 13 - 4 = [ 2 * 2 ]
ok 14 -    each factor is prime
ok 15 -    factor_exp looks right
ok 16 - 5 = [ 5 ]
ok 17 -    each factor is prime
ok 18 -    factor_exp looks right
ok 19 - 6 = [ 2 * 3 ]
ok 20 -    each factor is prime
ok 21 -    factor_exp looks right
ok 22 - 7 = [ 7 ]
ok 23 -    each factor is prime
ok 24 -    factor_exp looks right
ok 25 - 8 = [ 2 * 2 * 2 ]
ok 26 -    each factor is prime
ok 27 -    factor_exp looks right
ok 28 - 16 = [ 2 * 2 * 2 * 2 ]
ok 29 -    each factor is prime
ok 30 -    factor_exp looks right
ok 31 - 57 = [ 3 * 19 ]
ok 32 -    each factor is prime
ok 33 -    factor_exp looks right
ok 34 - 64 = [ 2 * 2 * 2 * 2 * 2 * 2 ]
ok 35 -    each factor is prime
ok 36 -    factor_exp looks right
ok 37 - 377 = [ 13 * 29 ]
ok 38 -    each factor is prime
ok 39 -    factor_exp looks right
ok 40 - 9592 = [ 2 * 2 * 2 * 11 * 109 ]
ok 41 -    each factor is prime
ok 42 -    factor_exp looks right
ok 43 - 30107 = [ 7 * 11 * 17 * 23 ]
ok 44 -    each factor is prime
ok 45 -    factor_exp looks right
ok 46 - 78498 = [ 2 * 3 * 3 * 7 * 7 * 89 ]
ok 47 -    each factor is prime
ok 48 -    factor_exp looks right
ok 49 - 664579 = [ 664579 ]
ok 50 -    each factor is prime
ok 51 -    factor_exp looks right
ok 52 - 5761455 = [ 3 * 5 * 7 * 37 * 1483 ]
ok 53 -    each factor is prime
ok 54 -    factor_exp looks right
ok 55 - 114256942 = [ 2 * 57128471 ]
ok 56 -    each factor is prime
ok 57 -    factor_exp looks right
ok 58 - 2214143 = [ 1487 * 1489 ]
ok 59 -    each factor is prime
ok 60 -    factor_exp looks right
ok 61 - 999999929 = [ 999999929 ]
ok 62 -    each factor is prime
ok 63 -    factor_exp looks right
ok 64 - 50847534 = [ 2 * 3 * 3 * 3 * 19 * 49559 ]
ok 65 -    each factor is prime
ok 66 -    factor_exp looks right
ok 67 - 455052511 = [ 97 * 331 * 14173 ]
ok 68 -    each factor is prime
ok 69 -    factor_exp looks right
ok 70 - 2147483647 = [ 2147483647 ]
ok 71 -    each factor is prime
ok 72 -    factor_exp looks right
ok 73 - 4118054813 = [ 19 * 216739727 ]
ok 74 -    each factor is prime
ok 75 -    factor_exp looks right
ok 76 - 30 = [ 2 * 3 * 5 ]
ok 77 -    each factor is prime
ok 78 -    factor_exp looks right
ok 79 - 210 = [ 2 * 3 * 5 * 7 ]
ok 80 -    each factor is prime
ok 81 -    factor_exp looks right
ok 82 - 2310 = [ 2 * 3 * 5 * 7 * 11 ]
ok 83 -    each factor is prime
ok 84 -    factor_exp looks right
ok 85 - 30030 = [ 2 * 3 * 5 * 7 * 11 * 13 ]
ok 86 -    each factor is prime
ok 87 -    factor_exp looks right
ok 88 - 510510 = [ 2 * 3 * 5 * 7 * 11 * 13 * 17 ]
ok 89 -    each factor is prime
ok 90 -    factor_exp looks right
ok 91 - 9699690 = [ 2 * 3 * 5 * 7 * 11 * 13 * 17 * 19 ]
ok 92 -    each factor is prime
ok 93 -    factor_exp looks right
ok 94 - 223092870 = [ 2 * 3 * 5 * 7 * 11 * 13 * 17 * 19 * 23 ]
ok 95 -    each factor is prime
ok 96 -    factor_exp looks right
ok 97 - 1363 = [ 29 * 47 ]
ok 98 -    each factor is prime
ok 99 -    factor_exp looks right
ok 100 - 989 = [ 23 * 43 ]
ok 101 -    each factor is prime
ok 102 -    factor_exp looks right
ok 103 - 779 = [ 19 * 41 ]
ok 104 -    each factor is prime
ok 105 -    factor_exp looks right
ok 106 - 629 = [ 17 * 37 ]
ok 107 -    each factor is prime
ok 108 -    factor_exp looks right
ok 109 - 403 = [ 13 * 31 ]
ok 110 -    each factor is prime
ok 111 -    factor_exp looks right
ok 112 - 547308031 = [ 547308031 ]
ok 113 -    each factor is prime
ok 114 -    factor_exp looks right
ok 115 - 808 = [ 2 * 2 * 2 * 101 ]
ok 116 -    each factor is prime
ok 117 -    factor_exp looks right
ok 118 - 2727 = [ 3 * 3 * 3 * 101 ]
ok 119 -    each factor is prime
ok 120 -    factor_exp looks right
ok 121 - 12625 = [ 5 * 5 * 5 * 101 ]
ok 122 -    each factor is prime
ok 123 -    factor_exp looks right
ok 124 - 34643 = [ 7 * 7 * 7 * 101 ]
ok 125 -    each factor is prime
ok 126 -    factor_exp looks right
ok 127 - 134431 = [ 11 * 11 * 11 * 101 ]
ok 128 -    each factor is prime
ok 129 -    factor_exp looks right
ok 130 - 221897 = [ 13 * 13 * 13 * 101 ]
ok 131 -    each factor is prime
ok 132 -    factor_exp looks right
ok 133 - 496213 = [ 17 * 17 * 17 * 101 ]
ok 134 -    each factor is prime
ok 135 -    factor_exp looks right
ok 136 - 692759 = [ 19 * 19 * 19 * 101 ]
ok 137 -    each factor is prime
ok 138 -    factor_exp looks right
ok 139 - 1228867 = [ 23 * 23 * 23 * 101 ]
ok 140 -    each factor is prime
ok 141 -    factor_exp looks right
ok 142 - 2231139 = [ 3 * 251 * 2963 ]
ok 143 -    each factor is prime
ok 144 -    factor_exp looks right
ok 145 - 2463289 = [ 29 * 29 * 29 * 101 ]
ok 146 -    each factor is prime
ok 147 -    factor_exp looks right
ok 148 - 3008891 = [ 31 * 31 * 31 * 101 ]
ok 149 -    each factor is prime
ok 150 -    factor_exp looks right
ok 151 - 5115953 = [ 37 * 37 * 37 * 101 ]
ok 152 -    each factor is prime
ok 153 -    factor_exp looks right
ok 154 - 6961021 = [ 41 * 41 * 41 * 101 ]
ok 155 -    each factor is prime
ok 156 -    factor_exp looks right
ok 157 - 8030207 = [ 43 * 43 * 43 * 101 ]
ok 158 -    each factor is prime
ok 159 -    factor_exp looks right
ok 160 - 10486123 = [ 47 * 47 * 47 * 101 ]
ok 161 -    each factor is prime
ok 162 -    factor_exp looks right
ok 163 - 10893343 = [ 1327 * 8209 ]
ok 164 -    each factor is prime
ok 165 -    factor_exp looks right
ok 166 - 12327779 = [ 1627 * 7577 ]
ok 167 -    each factor is prime
ok 168 -    factor_exp looks right
ok 169 - 701737021 = [ 25997 * 26993 ]
ok 170 -    each factor is prime
ok 171 -    factor_exp looks right
ok 172 - 549900 = [ 2 * 2 * 3 * 3 * 5 * 5 * 13 * 47 ]
ok 173 -    each factor is prime
ok 174 -    factor_exp looks right
ok 175 - 10000142 = [ 2 * 1429 * 3499 ]
ok 176 -    each factor is prime
ok 177 -    factor_exp looks right
ok 178 - 392498 = [ 2 * 443 * 443 ]
ok 179 -    each factor is prime
ok 180 -    factor_exp looks right
ok 181 - 37607912018 = [ 2 * 18803956009 ]
ok 182 -    each factor is prime
ok 183 -    factor_exp looks right
ok 184 - 346065536839 = [ 11 * 11 * 163 * 373 * 47041 ]
ok 185 -    each factor is prime
ok 186 -    factor_exp looks right
ok 187 - 600851475143 = [ 71 * 839 * 1471 * 6857 ]
ok 188 -    each factor is prime
ok 189 -    factor_exp looks right
ok 190 - 3204941750802 = [ 2 * 3 * 3 * 3 * 11 * 277 * 719 * 27091 ]
ok 191 -    each factor is prime
ok 192 -    factor_exp looks right
ok 193 - 29844570422669 = [ 19 * 19 * 27259 * 3032831 ]
ok 194 -    each factor is prime
ok 195 -    factor_exp looks right
ok 196 - 279238341033925 = [ 5 * 5 * 7 * 13 * 194899 * 629773 ]
ok 197 -    each factor is prime
ok 198 -    factor_exp looks right
ok 199 - 2623557157654233 = [ 3 * 113 * 136841 * 56555467 ]
ok 200 -    each factor is prime
ok 201 -    factor_exp looks right
ok 202 - 24739954287740860 = [ 2 * 2 * 5 * 7 * 1123 * 157358823863 ]
ok 203 -    each factor is prime
ok 204 -    factor_exp looks right
ok 205 - 3369738766071892021 = [ 204518747 * 16476429743 ]
ok 206 -    each factor is prime
ok 207 -    factor_exp looks right
ok 208 - 10023859281455311421 = [ 1308520867 * 7660450463 ]
ok 209 -    each factor is prime
ok 210 -    factor_exp looks right
ok 211 - 9007199254740991 = [ 6361 * 69431 * 20394401 ]
ok 212 -    each factor is prime
ok 213 -    factor_exp looks right
ok 214 - 9007199254740992 = [ 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 ]
ok 215 -    each factor is prime
ok 216 -    factor_exp looks right
ok 217 - 9007199254740993 = [ 3 * 107 * 28059810762433 ]
ok 218 -    each factor is prime
ok 219 -    factor_exp looks right
ok 220 - 6469693230 = [ 2 * 3 * 5 * 7 * 11 * 13 * 17 * 19 * 23 * 29 ]
ok 221 -    each factor is prime
ok 222 -    factor_exp looks right
ok 223 - 200560490130 = [ 2 * 3 * 5 * 7 * 11 * 13 * 17 * 19 * 23 * 29 * 31 ]
ok 224 -    each factor is prime
ok 225 -    factor_exp looks right
ok 226 - 7420738134810 = [ 2 * 3 * 5 * 7 * 11 * 13 * 17 * 19 * 23 * 29 * 31 * 37 ]
ok 227 -    each factor is prime
ok 228 -    factor_exp looks right
ok 229 - 304250263527210 = [ 2 * 3 * 5 * 7 * 11 * 13 * 17 * 19 * 23 * 29 * 31 * 37 * 41 ]
ok 230 -    each factor is prime
ok 231 -    factor_exp looks right
ok 232 - 13082761331670030 = [ 2 * 3 * 5 * 7 * 11 * 13 * 17 * 19 * 23 * 29 * 31 * 37 * 41 * 43 ]
ok 233 -    each factor is prime
ok 234 -    factor_exp looks right
ok 235 - 614889782588491410 = [ 2 * 3 * 5 * 7 * 11 * 13 * 17 * 19 * 23 * 29 * 31 * 37 * 41 * 43 * 47 ]
ok 236 -    each factor is prime
ok 237 -    factor_exp looks right
ok 238 - 440091295252541 = [ 4623781 * 95179961 ]
ok 239 -    each factor is prime
ok 240 -    factor_exp looks right
ok 241 - 5333042142001571 = [ 59928917 * 88989463 ]
ok 242 -    each factor is prime
ok 243 -    factor_exp looks right
ok 244 - 79127989298 = [ 2 * 443 * 443 * 449 * 449 ]
ok 245 -    each factor is prime
ok 246 -    factor_exp looks right
ok 247 - factors(2)
ok 248 - scalar factors(2)
ok 249 - factors(5)
ok 250 - scalar factors(5)
ok 251 - factors(456789)
ok 252 - scalar factors(456789)
ok 253 - factors(4)
ok 254 - scalar factors(4)
ok 255 - factors(30107)
ok 256 - scalar factors(30107)
ok 257 - factors(115553)
ok 258 - scalar factors(115553)
ok 259 - factors(1)
ok 260 - scalar factors(1)
ok 261 - factors(0)
ok 262 - scalar factors(0)
ok 263 - factors(123456)
ok 264 - scalar factors(123456)
ok 265 - factors(3)
ok 266 - scalar factors(3)
ok 267 - divisors(4)
ok 268 - scalar divisors(4)
ok 269 - divisor_sum(4,0)
ok 270 - divisor_sum(4)
ok 271 - divisors(30107)
ok 272 - scalar divisors(30107)
ok 273 - divisor_sum(30107,0)
ok 274 - divisor_sum(30107)
ok 275 - divisors(16)
ok 276 - scalar divisors(16)
ok 277 - divisor_sum(16,0)
ok 278 - divisor_sum(16)
ok 279 - divisors(1)
ok 280 - scalar divisors(1)
ok 281 - divisor_sum(1,0)
ok 282 - divisor_sum(1)
ok 283 - divisors(0)
ok 284 - scalar divisors(0)
ok 285 - divisor_sum(0,0)
ok 286 - divisor_sum(0)
ok 287 - divisors(8)
ok 288 - scalar divisors(8)
ok 289 - divisor_sum(8,0)
ok 290 - divisor_sum(8)
ok 291 - divisors(4567890)
ok 292 - scalar divisors(4567890)
ok 293 - divisor_sum(4567890,0)
ok 294 - divisor_sum(4567890)
ok 295 - divisors(456789)
ok 296 - scalar divisors(456789)
ok 297 - divisor_sum(456789,0)
ok 298 - divisor_sum(456789)
ok 299 - divisors(5)
ok 300 - scalar divisors(5)
ok 301 - divisor_sum(5,0)
ok 302 - divisor_sum(5)
ok 303 - divisors(2)
ok 304 - scalar divisors(2)
ok 305 - divisor_sum(2,0)
ok 306 - divisor_sum(2)
ok 307 - divisors(7)
ok 308 - scalar divisors(7)
ok 309 - divisor_sum(7,0)
ok 310 - divisor_sum(7)
ok 311 - divisors(42)
ok 312 - scalar divisors(42)
ok 313 - divisor_sum(42,0)
ok 314 - divisor_sum(42)
ok 315 - divisors(12)
ok 316 - scalar divisors(12)
ok 317 - divisor_sum(12,0)
ok 318 - divisor_sum(12)
ok 319 - divisors(10)
ok 320 - scalar divisors(10)
ok 321 - divisor_sum(10,0)
ok 322 - divisor_sum(10)
ok 323 - divisors(115553)
ok 324 - scalar divisors(115553)
ok 325 - divisor_sum(115553,0)
ok 326 - divisor_sum(115553)
ok 327 - divisors(1032924637)
ok 328 - scalar divisors(1032924637)
ok 329 - divisor_sum(1032924637,0)
ok 330 - divisor_sum(1032924637)
ok 331 - divisors(9)
ok 332 - scalar divisors(9)
ok 333 - divisor_sum(9,0)
ok 334 - divisor_sum(9)
ok 335 - divisors(1234567890)
ok 336 - scalar divisors(1234567890)
ok 337 - divisor_sum(1234567890,0)
ok 338 - divisor_sum(1234567890)
ok 339 - divisors(3)
ok 340 - scalar divisors(3)
ok 341 - divisor_sum(3,0)
ok 342 - divisor_sum(3)
ok 343 - divisors(6)
ok 344 - scalar divisors(6)
ok 345 - divisor_sum(6,0)
ok 346 - divisor_sum(6)
ok 347 - divisors(123456)
ok 348 - scalar divisors(123456)
ok 349 - divisor_sum(123456,0)
ok 350 - divisor_sum(123456)
ok 351 - factor_exp(115553)
ok 352 - scalar factor_exp(115553)
ok 353 - factor_exp(1)
ok 354 - scalar factor_exp(1)
ok 355 - factor_exp(2)
ok 356 - scalar factor_exp(2)
ok 357 - factor_exp(5)
ok 358 - scalar factor_exp(5)
ok 359 - factor_exp(456789)
ok 360 - scalar factor_exp(456789)
ok 361 - factor_exp(4)
ok 362 - scalar factor_exp(4)
ok 363 - factor_exp(30107)
ok 364 - scalar factor_exp(30107)
ok 365 - factor_exp(123456)
ok 366 - scalar factor_exp(123456)
ok 367 - factor_exp(3)
ok 368 - scalar factor_exp(3)
ok 369 - factor_exp(0)
ok 370 - scalar factor_exp(0)
ok 371 - trial_factor(1)
ok 372 - trial_factor(4)
ok 373 - trial_factor(9)
ok 374 - trial_factor(11)
ok 375 - trial_factor(25)
ok 376 - trial_factor(30)
ok 377 - trial_factor(210)
ok 378 - trial_factor(175)
ok 379 - trial_factor(403)
ok 380 - trial_factor(549900)
ok 381 - fermat_factor(1)
ok 382 - fermat_factor(4)
ok 383 - fermat_factor(9)
ok 384 - fermat_factor(11)
ok 385 - fermat_factor(25)
ok 386 - fermat_factor(30)
ok 387 - fermat_factor(210)
ok 388 - fermat_factor(175)
ok 389 - fermat_factor(403)
ok 390 - fermat_factor(549900)
ok 391 - holf_factor(1)
ok 392 - holf_factor(4)
ok 393 - holf_factor(9)
ok 394 - holf_factor(11)
ok 395 - holf_factor(25)
ok 396 - holf_factor(30)
ok 397 - holf_factor(210)
ok 398 - holf_factor(175)
ok 399 - holf_factor(403)
ok 400 - holf_factor(549900)
ok 401 - squfof_factor(1)
ok 402 - squfof_factor(4)
ok 403 - squfof_factor(9)
ok 404 - squfof_factor(11)
ok 405 - squfof_factor(25)
ok 406 - squfof_factor(30)
ok 407 - squfof_factor(210)
ok 408 - squfof_factor(175)
ok 409 - squfof_factor(403)
ok 410 - squfof_factor(549900)
ok 411 - pbrent_factor(1)
ok 412 - pbrent_factor(4)
ok 413 - pbrent_factor(9)
ok 414 - pbrent_factor(11)
ok 415 - pbrent_factor(25)
ok 416 - pbrent_factor(30)
ok 417 - pbrent_factor(210)
ok 418 - pbrent_factor(175)
ok 419 - pbrent_factor(403)
ok 420 - pbrent_factor(549900)
ok 421 - prho_factor(1)
ok 422 - prho_factor(4)
ok 423 - prho_factor(9)
ok 424 - prho_factor(11)
ok 425 - prho_factor(25)
ok 426 - prho_factor(30)
ok 427 - prho_factor(210)
ok 428 - prho_factor(175)
ok 429 - prho_factor(403)
ok 430 - prho_factor(549900)
ok 431 - pminus1_factor(1)
ok 432 - pminus1_factor(4)
ok 433 - pminus1_factor(9)
ok 434 - pminus1_factor(11)
ok 435 - pminus1_factor(25)
ok 436 - pminus1_factor(30)
ok 437 - pminus1_factor(210)
ok 438 - pminus1_factor(175)
ok 439 - pminus1_factor(403)
ok 440 - pminus1_factor(549900)
ok 441 - pplus1_factor(1)
ok 442 - pplus1_factor(4)
ok 443 - pplus1_factor(9)
ok 444 - pplus1_factor(11)
ok 445 - pplus1_factor(25)
ok 446 - pplus1_factor(30)
ok 447 - pplus1_factor(210)
ok 448 - pplus1_factor(175)
ok 449 - pplus1_factor(403)
ok 450 - pplus1_factor(549900)
ok 451 - trial factor 2203*2503
ok 452 - scalar factor(0) should be 1
ok 453 - scalar factor(1) should be 0
ok 454 - scalar factor(3) should be 1
ok 455 - scalar factor(4) should be 2
ok 456 - scalar factor(5) should be 1
ok 457 - scalar factor(6) should be 2
ok 458 - scalar factor(30107) should be 4
ok 459 - scalar factor(174636000) should be 15
ok
t/51-randfactor.t ............ 
1..4
ok 1 - random_factored_integer did not return 0
ok 2 - random_factored_integer in requested range
ok 3 - factors match factor routine
ok 4 - product of factors = n
ok
t/51-znlog.t ................. 
1..20
ok 1 - znlog(5,2,1019) = 10
ok 2 - znlog(2,4,17) = <undef>
ok 3 - znlog(7,3,8) = <undef>
ok 4 - znlog(7,17,36) = <undef>
ok 5 - znlog(1,8,9) = 0
ok 6 - znlog(3,3,8) = 1
ok 7 - znlog(10,2,101) = 25
ok 8 - znlog(2,55,101) = 73
ok 9 - znlog(5,2,401) = 48
ok 10 - znlog(228,2,383) = 110
ok 11 - znlog(3061666278,499998,3332205179) = 22
ok 12 - znlog(5678,5,10007) = 8620
ok 13 - znlog(7531,6,8101) = 6689
ok 14 - znlog(0,30,100) = 2
ok 15 - znlog(1,1,101) = 0
ok 16 - znlog(8,2,102) = 3
ok 17 - znlog(18,18,102) = 1
ok 18 - znlog(5675,5,10000019) = 2003974
ok 19 - znlog(18478760,5,314138927) = 34034873
ok 20 - znlog(32712908945642193,5,71245073933756341) = 5945146967010377
ok
t/52-primearray.t ............ 
1..21
ok 1 - primes 0 .. 499 can be randomly selected
ok 2 - primes 0 .. 499 in forward order
ok 3 - primes 0 .. 499 in reverse order
ok 4 - 51 primes using array slice
ok 5 - random array slice of small primes
ok 6 - primes[1999] == 17389
ok 7 - primes[4999] == 48611
ok 8 - primes[30107] == 351707
ok 9 - primes[78901] == 1005413
ok 10 - primes[4500] == 43063
ok 11 - primes[15678] == 172157
ok 12 - primes[377] == 2593
ok 13 - primes[123456] == 1632913
ok 14 - shift 2
ok 15 - shift 3
ok 16 - shift 5
ok 17 - shift 7
ok 18 - shift 11
ok 19 - 13 after shifts
ok 20 - 11 after unshift
ok 21 - 3 after unshift 3
ok
t/70-rt-bignum.t ............. 
1..2
ok 1 - PP prho factors correctly with 'use bignum'
ok 2 - next_prime(10^1200+5226) = 10^1200+5227
ok
t/80-pp.t .................... 
1..298
ok 1 - require Math::Prime::Util::PP;
ok 2 - require Math::Prime::Util::PrimalityProving;
ok 3 - is_prime 0 .. 1086
ok 4 - is_prime for selected numbers
ok 5 - Trial primes 2-80
ok 6 - Primes between 0 and 1069
ok 7 - Primes between 0 and 1070
ok 8 - Primes between 0 and 1086
ok 9 - primes(4) should return [2 3]
ok 10 - primes(19) should return [2 3 5 7 11 13 17 19]
ok 11 - primes(2) should return [2]
ok 12 - primes(20) should return [2 3 5 7 11 13 17 19]
ok 13 - primes(18) should return [2 3 5 7 11 13 17]
ok 14 - primes(6) should return [2 3 5]
ok 15 - primes(3) should return [2 3]
ok 16 - primes(5) should return [2 3 5]
ok 17 - primes(0) should return []
ok 18 - primes(7) should return [2 3 5 7]
ok 19 - primes(11) should return [2 3 5 7 11]
ok 20 - primes(1) should return []
ok 21 - primes(3,9) should return [3 5 7]
ok 22 - primes(2,20) should return [2 3 5 7 11 13 17 19]
ok 23 - primes(3089,3163) should return [3089 3109 3119 3121 3137 3163]
ok 24 - primes(3842610774,3842611108) should return []
ok 25 - primes(3,6) should return [3 5]
ok 26 - primes(3088,3164) should return [3089 3109 3119 3121 3137 3163]
ok 27 - primes(2,3) should return [2 3]
ok 28 - primes(4,8) should return [5 7]
ok 29 - primes(2010734,2010880) should return []
ok 30 - primes(3,7) should return [3 5 7]
ok 31 - primes(20,2) should return []
ok 32 - primes(2010733,2010881) should return [2010733 2010881]
ok 33 - primes(2,2) should return [2]
ok 34 - primes(30,70) should return [31 37 41 43 47 53 59 61 67]
ok 35 - primes(3090,3162) should return [3109 3119 3121 3137]
ok 36 - primes(1,1) should return []
ok 37 - primes(3842610773,3842611109) should return [3842610773 3842611109]
ok 38 - primes(70,30) should return []
ok 39 - primes(2,5) should return [2 3 5]
ok 40 - primes(3,3) should return [3]
ok 41 - next prime of 19609 is 19609+52
ok 42 - prev prime of 19609+52 is 19609
ok 43 - next prime of 2010733 is 2010733+148
ok 44 - prev prime of 2010733+148 is 2010733
ok 45 - next prime of 360653 is 360653+96
ok 46 - prev prime of 360653+96 is 360653
ok 47 - next prime of 19608 is 19609
ok 48 - next prime of 19610 is 19661
ok 49 - next prime of 19660 is 19661
ok 50 - prev prime of 19662 is 19661
ok 51 - prev prime of 19660 is 19609
ok 52 - prev prime of 19610 is 19609
ok 53 - Previous prime of 2 returns undef
ok 54 - Next prime of ~0-4 returns bigint next prime
ok 55 - next_prime for 148 primes before primegap end 2010881
ok 56 - prev_prime for 148 primes before primegap start 2010733
ok 57 - next_prime(1234567890) == 1234567891)
ok 58 - Pi(1) = 0
ok 59 - Pi(1000) = 168
ok 60 - Pi(100) = 25
ok 61 - Pi(10) = 4
ok 62 - Pi(65535) = 6542
ok 63 - Pi(10000) = 1229
ok 64 - Pi(60067) = 6062
ok 65 - prime_count(191912784 +247) = 1
ok 66 - prime_count(4 to 17) = 5
ok 67 - prime_count(4 to 16) = 4
ok 68 - prime_count(1e9 +2**14) = 785
ok 69 - prime_count(191912784 +246) = 0
ok 70 - prime_count(3 to 17) = 6
ok 71 - prime_count(191912783 +247) = 1
ok 72 - prime_count(191912783 +248) = 2
ok 73 - prime_count(17 to 13) = 0
ok 74 - prime_count_lower(450)
ok 75 - prime_count_upper(450)
ok 76 - prime_count_lower(1234567) in range
ok 77 - prime_count_upper(1234567) in range
ok 78 - prime_count_lower(412345678) in range
ok 79 - prime_count_upper(412345678) in range
ok 80 - nth_prime(0) <= 1
ok 81 - nth_prime(1) >= 1
ok 82 - nth_prime(168) <= 1000
ok 83 - nth_prime(169) >= 1000
ok 84 - nth_prime(25) <= 100
ok 85 - nth_prime(26) >= 100
ok 86 - nth_prime(4) <= 10
ok 87 - nth_prime(5) >= 10
ok 88 - nth_prime(6542) <= 65535
ok 89 - nth_prime(6543) >= 65535
ok 90 - nth_prime(1229) <= 10000
ok 91 - nth_prime(1230) >= 10000
ok 92 - nth_prime(6062) <= 60067
ok 93 - nth_prime(6063) >= 60067
ok 94 - nth_prime(1000) = 7919
ok 95 - nth_prime(1) = 2
ok 96 - nth_prime(100) = 541
ok 97 - nth_prime(10) = 29
ok 98 - MR with 0 shortcut composite
ok 99 - MR with 0 shortcut composite
ok 100 - MR with 2 shortcut prime
ok 101 - MR with 3 shortcut prime
ok 102 - 5 pseudoprimes (base 31)
ok 103 - 5 pseudoprimes (base aeslucas1)
ok 104 - 4 pseudoprimes (base 61)
ok 105 - 4 pseudoprimes (base 5)
ok 106 - 5 pseudoprimes (base 37)
ok 107 - 4 pseudoprimes (base 3)
ok 108 - 5 pseudoprimes (base psp3)
ok 109 - 4 pseudoprimes (base 73)
ok 110 - 4 pseudoprimes (base 11)
ok 111 - 5 pseudoprimes (base 7)
ok 112 - 5 pseudoprimes (base lucas)
ok 113 - 5 pseudoprimes (base 17)
ok 114 - 5 pseudoprimes (base 29)
ok 115 - 4 pseudoprimes (base 13)
ok 116 - 6 pseudoprimes (base eslucas)
ok 117 - 5 pseudoprimes (base 19)
ok 118 - 4 pseudoprimes (base 23)
ok 119 - 5 pseudoprimes (base 2)
ok 120 - 5 pseudoprimes (base slucas)
ok 121 - 5 pseudoprimes (base psp2)
ok 122 - 5 pseudoprimes (base aeslucas2)
ok 123 - Ei(-1e-08) ~= -17.8434650890508
ok 124 - Ei(1) ~= 1.89511781635594
ok 125 - Ei(-0.001) ~= -6.33153936413615
ok 126 - Ei(5) ~= 40.1852753558032
ok 127 - Ei(10) ~= 2492.22897624188
ok 128 - Ei(12) ~= 14959.5326663975
ok 129 - Ei(-10) ~= -4.15696892968532e-06
ok 130 - Ei(0.693147180559945) ~= 1.04516378011749
ok 131 - Ei(40) ~= 6039718263611242
ok 132 - Ei(-1e-05) ~= -10.9357198000437
ok 133 - Ei(20) ~= 25615652.6640566
ok 134 - Ei(41) ~= 1.6006649143245e+16
ok 135 - Ei(1.5) ~= 3.3012854491298
ok 136 - Ei(2) ~= 4.95423435600189
ok 137 - Ei(-0.1) ~= -1.82292395841939
ok 138 - Ei(-0.5) ~= -0.55977359477616
ok 139 - li(24) ~= 11.2003157952327
ok 140 - li(4294967295) ~= 203284081.954542
ok 141 - li(10000000000) ~= 455055614.586623
ok 142 - li(100000) ~= 9629.8090010508
ok 143 - li(10) ~= 6.1655995047873
ok 144 - li(0) ~= 0
ok 145 - li(1.01) ~= -4.02295867392994
ok 146 - li(100000000) ~= 5762209.37544803
ok 147 - li(100000000000) ~= 4118066400.62161
ok 148 - li(1000) ~= 177.609657990152
ok 149 - li(2) ~= 1.04516378011749
ok 150 - R(2) ~= 1.54100901618713
ok 151 - R(10000000) ~= 664667.447564748
ok 152 - R(10) ~= 4.56458314100509
ok 153 - R(18446744073709551615) ~= 4.25656284014012e+17
ok 154 - R(1000) ~= 168.359446281167
ok 155 - R(1000000) ~= 78527.3994291277
ok 156 - R(1.01) ~= 1.00606971806229
ok 157 - R(10000000000) ~= 455050683.306847
ok 158 - R(4294967295) ~= 203280697.513261
ok 159 - Zeta(2) ~= 0.644934066848226
ok 160 - Zeta(180) ~= 6.52530446799852e-55
ok 161 - Zeta(80) ~= 8.27180612553034e-25
ok 162 - Zeta(8.5) ~= 0.00285925088241563
ok 163 - Zeta(20.6) ~= 6.29339157357821e-07
ok 164 - Zeta(2.5) ~= 0.341487257250917
ok 165 - Zeta(4.5) ~= 0.0547075107614543
ok 166 - Zeta(7) ~= 0.00834927738192283
ok 167 - LambertW(6588)
ok 168 - test factoring for 34 primes
ok 169 - test factoring for 141 composites
ok 170 - holf(403)
ok 171 - fermat(403)
ok 172 - prho(403)
ok 173 - pbrent(403)
ok 174 - pminus1(403)
ok 175 - prho(851981)
ok 176 - pbrent(851981)
ok 177 - ecm(101303039)
ok 178 - prho(55834573561)
ok 179 - pbrent(55834573561)
ok 180 - prho finds a factor of 18686551294184381720251
ok 181 - prho found a correct factor
ok 182 - prho didn't return a degenerate factor
ok 183 - pbrent finds a factor of 18686551294184381720251
ok 184 - pbrent found a correct factor
ok 185 - pbrent didn't return a degenerate factor
ok 186 - pminus1 finds a factor of 18686551294184381720251
ok 187 - pminus1 found a correct factor
ok 188 - pminus1 didn't return a degenerate factor
ok 189 - ecm finds a factor of 18686551294184381720251
ok 190 - ecm found a correct factor
ok 191 - ecm didn't return a degenerate factor
ok 192 # skip Skipping p-1 stage 2 tests
ok 193 # skip Skipping p-1 stage 2 tests
ok 194 # skip Skipping p-1 stage 2 tests
ok 195 - fermat finds a factor of 73786976930493367637
ok 196 - fermat found a correct factor
ok 197 - fermat didn't return a degenerate factor
ok 198 - holf correctly factors 99999999999979999998975857
ok 199 # skip ecm stage 2
ok 200 # skip ecm stage 2
ok 201 # skip ecm stage 2
ok 202 - AKS: 1 is composite (less than 2)
ok 203 - AKS: 2 is prime
ok 204 - AKS: 3 is prime
ok 205 - AKS: 4 is composite
ok 206 - AKS: 64 is composite (perfect power)
ok 207 - AKS: 65 is composite (caught in trial)
ok 208 - AKS: 23 is prime (r >= n)
ok 209 - AKS: 70747 is composite (n mod r)
ok 210 # skip Skipping PP AKS test without EXTENDED_TESTING
ok 211 # skip Skipping PP AKS test without EXTENDED_TESTING
ok 212 - primality_proof_lucas(100003)
ok 213 - primality_proof_bls75(1490266103)
ok 214 - primality_proof_bls75(27141057803)
ok 215 - 168790877523676911809192454171451 looks prime with bases 2..52
ok 216 - 168790877523676911809192454171451 found composite with base 53
ok 217 - 168790877523676911809192454171451 is not a strong Lucas pseudoprime
ok 218 - 168790877523676911809192454171451 is not a Frobenius pseudoprime
ok 219 - 517697641 is a Perrin pseudoprime
ok 220 - 517697641 is not a Frobenius pseudoprime
ok 221 - nth_prime_approx(1287248) in range
ok 222 - prime_count_approx(128722248) in range
ok 223 - consecutive_integer_lcm(13)
ok 224 - consecutive_integer_lcm(52)
ok 225 - moebius(513,537)
ok 226 - moebius(42199)
ok 227 - liouville(444456)
ok 228 - liouville(562894)
ok 229 - mertens(4219)
ok 230 - euler_phi(1513,1537)
ok 231 - euler_phi(324234)
ok 232 - jordan_totient(4, 899)
ok 233 - carmichael_lambda(324234)
ok 234 - exp_mangoldt of power of 2 = 2
ok 235 - exp_mangoldt of even = 1
ok 236 - exp_mangoldt of 21 = 1
ok 237 - exp_mangoldt of 23 = 23
ok 238 - exp_mangoldt of 27 (3^3) = 3
ok 239 - znprimroot
ok 240 - znorder(2,35) = 12
ok 241 - znorder(7,35) = undef
ok 242 - znorder(67,999999749) = 30612237
ok 243 - znlog(5678, 5, 10007)
ok 244 - binomial(35,16)
ok 245 - binomial(228,12)
ok 246 - binomial(-23,-26) should be -2300
ok 247 - S(12,4)
ok 248 - s(12,4)
ok 249 - bernfrac(0)
ok 250 - bernfrac(1)
ok 251 - bernfrac(2)
ok 252 - bernfrac(3)
ok 253 - bernfrac(12)
ok 254 - bernfrac(12)
ok 255 - gcdext(23948236,3498248)
ok 256 - valuation(1879048192,2)
ok 257 - valuation(96552,6)
ok 258 - invmod(45,59)
ok 259 - invmod(14,28474)
ok 260 - invmod(42,-2017)
ok 261 - vecsum(15,30,45)
ok 262 - vecsum(2^32-1000,2^32-2000,2^32-3000)
ok 263 - vecprod(15,30,45)
ok 264 - vecprod(2^32-1000,2^32-2000,2^32-3000)
ok 265 - vecmin(2^32-1000,2^32-2000,2^32-3000)
ok 266 - vecmax(2^32-1000,2^32-2000,2^32-3000)
ok 267 - chebyshev_theta(7001) =~ 6929.2748
ok 268 - chebyshev_psi(6588) =~ 6597.07453
ok 269 - is_prob_prime(36010357) should be 2
ok 270 - is_prob_prime(347) should be 2
ok 271 - is_prob_prime(17471061) should be 0
ok 272 - is_prob_prime(7080233) should be 2
ok 273 - is_prob_prime(17471059) should be 2
ok 274 - is_prob_prime(697) should be 0
ok 275 - is_prob_prime(49) should be 0
ok 276 - is_prob_prime(7080249) should be 0
ok 277 - is_prob_prime(10) should be 0
ok 278 - is_prob_prime(36010359) should be 0
ok 279 - is_prob_prime(5) should be 2
ok 280 - primorial(24)
ok 281 - primorial(118)
ok 282 - pn_primorial(7)
ok 283 - partitions(74)
ok 284 - Miller-Rabin random 40 on composite
ok 285 - generic forprimes 2387234,2387303
ok 286 - generic forcomposites 15202630,15202641
ok 287 - generic foroddcomposites 15202630,15202641
ok 288 - generic fordivisors: d|92834: k+=d+int(sqrt(d))
ok 289 - forcomb(3,2)
ok 290 - forperm(3)
ok 291 - forpart(4)
ok 292 - Pi(82)
ok 293 - gcd(-30,-90,90) = 30
ok 294 - lcm(11926,78001,2211) = 2790719778
ok 295 - twin_prime_count(4321)
ok 296 - twin_prime_count_approx(4123456784123)
ok 297 - nth_twin_prime(249)
ok 298 - Nobody clobbered $_
ok
# BigInt 0.67/2.003002, lib: Calc.  MPU::GMP 0.52
t/81-bignum.t ................ 
1..134
ok 1 - 100000982717289000001 is prime
ok 2 - 100000982717289000001 is probably prime
ok 3 - 100170437171734071001 is prime
ok 4 - 100170437171734071001 is probably prime
ok 5 - 777777777777777777777767 is prime
ok 6 - 777777777777777777777767 is probably prime
ok 7 - 777777777777777777777787 is prime
ok 8 - 777777777777777777777787 is probably prime
ok 9 - 877777777777777777777753 is prime
ok 10 - 877777777777777777777753 is probably prime
ok 11 - 877777777777777777777871 is prime
ok 12 - 877777777777777777777871 is probably prime
ok 13 - 87777777777777777777777795577 is prime
ok 14 - 87777777777777777777777795577 is probably prime
ok 15 - 890745785790123461234805903467891234681243 is prime
ok 16 - 890745785790123461234805903467891234681243 is probably prime
ok 17 - 618970019642690137449562111 is prime
ok 18 - 618970019642690137449562111 is probably prime
ok 19 - 777777777777777777777777 is not prime
ok 20 - 777777777777777777777777 is not probably prime
ok 21 - 877777777777777777777777 is not prime
ok 22 - 877777777777777777777777 is not probably prime
ok 23 - 87777777777777777777777795475 is not prime
ok 24 - 87777777777777777777777795475 is not probably prime
ok 25 - 890745785790123461234805903467891234681234 is not prime
ok 26 - 890745785790123461234805903467891234681234 is not probably prime
ok 27 - 59276361075595573263446330101 is not prime
ok 28 - 59276361075595573263446330101 is not probably prime
ok 29 - 318665857834031151167461 is not prime
ok 30 - 318665857834031151167461 is not probably prime
ok 31 - 6003094289670105800312596501 is not prime
ok 32 - 6003094289670105800312596501 is not probably prime
ok 33 - 3825123056546413051 is not prime
ok 34 - 3825123056546413051 is not probably prime
ok 35 - 75792980677 is not prime
ok 36 - 75792980677 is not probably prime
ok 37 - 3317044064679887385961981 is not prime
ok 38 - 3317044064679887385961981 is not probably prime
ok 39 - 564132928021909221014087501701 is not prime
ok 40 - 564132928021909221014087501701 is not probably prime
ok 41 - 21652684502221 is not prime
ok 42 - 21652684502221 is not probably prime
ok 43 - 65635624165761929287 is prime
ok 44 - 65635624165761929287 is provably prime
ok 45 - 1162566711635022452267983 is prime
ok 46 - 1162566711635022452267983 is provably prime
ok 47 - 77123077103005189615466924501 is prime
ok 48 - 77123077103005189615466924501 is provably prime
ok 49 - 3991617775553178702574451996736229 is prime
ok 50 - 3991617775553178702574451996736229 is provably prime
ok 51 - 273952953553395851092382714516720001799 is prime
ok 52 - 273952953553395851092382714516720001799 is provably prime
ok 53 - primes( 2^66, 2^66 + 100 )
ok 54 - twin_primes( 18446744073709558000, +1000)
ok 55 - next_prime(777777777777777777777777)
ok 56 - prev_prime(777777777777777777777777)
ok 57 - iterator 3 primes starting at 10^24+910
ok 58 - prime_count(87..7752, 87..7872)
ok 59 - 59276361075595573263446330101 is a strong pseudoprime to bases 2,3,5,7,11,13,17,19,23,29,31,37,325,9375
ok 60 - 318665857834031151167461 is a strong pseudoprime to bases 2,3,5,7,11,13,17,19,23,29,31,37,325,9375
ok 61 - 6003094289670105800312596501 is a strong pseudoprime to bases 2,3,5,7,11,13,17,19,23,29,31,37,61,325,9375
ok 62 - 3825123056546413051 is a strong pseudoprime to bases 2,3,5,7,11,13,17,19,23,29,31,325,9375
ok 63 - 75792980677 is a strong pseudoprime to bases 2
ok 64 - 3317044064679887385961981 is a strong pseudoprime to bases 2,3,5,7,11,13,17,19,23,29,31,37,73,325,9375
ok 65 - 564132928021909221014087501701 is a strong pseudoprime to bases 2,3,5,7,11,13,17,19,23,29,31,37,325,9375
ok 66 - 21652684502221 is a strong pseudoprime to bases 2,7,37,61,9375
ok 67 - PC approx(31415926535897932384)
ok 68 - prime count bounds for 31415926535897932384 are in the right order
ok 69 - PC lower with RH
ok 70 - PC upper with RH
ok 71 - PC lower
ok 72 - PC upper
ok 73 - factor(190128090927491)
ok 74 - factor_exp(190128090927491)
ok 75 - factor(1234567890)
ok 76 - factor_exp(1234567890)
ok 77 - factor(23489223467134234890234680)
ok 78 - factor_exp(23489223467134234890234680)
ok 79 - divisors(23489223467134234890234680)
ok 80 - moebius(618970019642690137449562110)
ok 81 - euler_phi(618970019642690137449562110)
ok 82 - carmichael_lambda(618970019642690137449562110)
ok 83 - jordan_totient(5,2188536338969724335807)
ok 84 - jordan totient using divisor_sum and moebius
ok 85 - Divisor sum of 100!
ok 86 - Divisor count(103\#)
ok 87 - Divisor sum(103\#)
ok 88 - sigma_2(103\#)
ok 89 - znorder 1
ok 90 - znorder 2
ok 91 - kronecker(..., ...)
ok 92 - znprimroot(333822190384002421914469856494764513809)
ok 93 - znlog(b,g,p): find k where b^k = g mod p
ok 94 - liouville(a x b x c) = -1
ok 95 - liouville(a x b x c x d) = 1
ok 96 - gcd(a,b,c)
ok 97 - gcd(a,b)
ok 98 - gcd of two primes = 1
ok 99 - lcm(p1,p2)
ok 100 - lcm(p1,p1)
ok 101 - lcm(a,b,c,d,e)
ok 102 - gcdext(a,b)
ok 103 - chinese([26,17179869209],[17,34359738421] = 103079215280
ok 104 - ispower(18475335773296164196) == 0
ok 105 - ispower(150607571^14) == 14
ok 106 - -7 ^ i for 0 .. 31
ok 107 - correct root from is_power for -7^i for 0 .. 31
ok 108 - random range prime isn't too small
ok 109 - random range prime isn't too big
ok 110 - random range prime is prime
ok 111 - random 25-digit prime is not too small
ok 112 - random 25-digit prime is not too big
ok 113 - random 25-digit prime is just right
ok 114 - random 80-bit prime is not too small
ok 115 - random 80-bit prime is not too big
ok 116 - random 80-bit prime is just right
ok 117 - random 180-bit strong prime is not too small
ok 118 - random 180-bit strong prime is not too big
ok 119 - random 180-bit strong prime is just right
ok 120 - random 80-bit Maurer prime is not too small
ok 121 - random 80-bit Maurer prime is not too big
ok 122 - random 80-bit Maurer prime is just right
ok 123 - 80-bit prime passes Miller-Rabin with 20 random bases
ok 124 - 80-bit composite fails Miller-Rabin with 40 random bases
ok 125 - MRR(undef,4)
ok 126 - MRR(10007,-4)
ok 127 - MRR(n,0) = 1
ok 128 - MRR(61,17) = 1
ok 129 - MRR(62,17) = 0
ok 130 - MRR(1009) = 1
ok 131 # skip Perrin pseudoprime tests without EXTENDED_TESTING.
ok 132 # skip Perrin pseudoprime tests without EXTENDED_TESTING.
ok 133 - valuation(6^10000,5) = 5
ok 134 - Nobody clobbered $_
ok
t/90-release-perlcritic.t .... skipped: these tests are for release candidate testing
t/91-release-pod-syntax.t .... skipped: these tests are for release candidate testing
t/92-release-pod-coverage.t .. skipped: these tests are for release candidate testing
t/93-release-spelling.t ...... skipped: these tests are for release candidate testing
t/94-weaken.t ................ skipped: these tests are for release candidate testing
t/97-synopsis.t .............. skipped: these tests are for release candidate testing
All tests successful.
Files=79, Tests=4065,  8 wallclock secs ( 0.27 usr  0.14 sys +  6.44 cusr  1.21 csys =  8.06 CPU)
Result: PASS
make[1]: Leaving directory '/<<PKGBUILDDIR>>'
   create-stamp debian/debhelper-build-stamp
   dh_prep -a
   debian/rules override_dh_auto_install
make[1]: Entering directory '/<<PKGBUILDDIR>>'
dh_auto_install
	make -j2 install DESTDIR=/<<PKGBUILDDIR>>/debian/libmath-prime-util-perl AM_UPDATE_INFO_DIR=no PREFIX=/usr
make[2]: Entering directory '/<<PKGBUILDDIR>>'
"/usr/bin/perl" -MExtUtils::Command::MM -e 'cp_nonempty' -- Util.bs blib/arch/auto/Math/Prime/Util/Util.bs 644
Manifying 14 pod documents
Files found in blib/arch: installing files in blib/lib into architecture dependent library tree
Installing /<<PKGBUILDDIR>>/debian/libmath-prime-util-perl/usr/lib/x86_64-linux-gnu/perl5/5.40/auto/Math/Prime/Util/Util.so
Installing /<<PKGBUILDDIR>>/debian/libmath-prime-util-perl/usr/lib/x86_64-linux-gnu/perl5/5.40/ntheory.pm
Installing /<<PKGBUILDDIR>>/debian/libmath-prime-util-perl/usr/lib/x86_64-linux-gnu/perl5/5.40/Math/Prime/Util.pm
Installing /<<PKGBUILDDIR>>/debian/libmath-prime-util-perl/usr/lib/x86_64-linux-gnu/perl5/5.40/Math/Prime/Util/PrimalityProving.pm
Installing /<<PKGBUILDDIR>>/debian/libmath-prime-util-perl/usr/lib/x86_64-linux-gnu/perl5/5.40/Math/Prime/Util/ZetaBigFloat.pm
Installing /<<PKGBUILDDIR>>/debian/libmath-prime-util-perl/usr/lib/x86_64-linux-gnu/perl5/5.40/Math/Prime/Util/MemFree.pm
Installing /<<PKGBUILDDIR>>/debian/libmath-prime-util-perl/usr/lib/x86_64-linux-gnu/perl5/5.40/Math/Prime/Util/PPFE.pm
Installing /<<PKGBUILDDIR>>/debian/libmath-prime-util-perl/usr/lib/x86_64-linux-gnu/perl5/5.40/Math/Prime/Util/ECProjectivePoint.pm
Installing /<<PKGBUILDDIR>>/debian/libmath-prime-util-perl/usr/lib/x86_64-linux-gnu/perl5/5.40/Math/Prime/Util/ChaCha.pm
Installing /<<PKGBUILDDIR>>/debian/libmath-prime-util-perl/usr/lib/x86_64-linux-gnu/perl5/5.40/Math/Prime/Util/PP.pm
Installing /<<PKGBUILDDIR>>/debian/libmath-prime-util-perl/usr/lib/x86_64-linux-gnu/perl5/5.40/Math/Prime/Util/PrimeIterator.pm
Installing /<<PKGBUILDDIR>>/debian/libmath-prime-util-perl/usr/lib/x86_64-linux-gnu/perl5/5.40/Math/Prime/Util/RandomPrimes.pm
Installing /<<PKGBUILDDIR>>/debian/libmath-prime-util-perl/usr/lib/x86_64-linux-gnu/perl5/5.40/Math/Prime/Util/Entropy.pm
Installing /<<PKGBUILDDIR>>/debian/libmath-prime-util-perl/usr/lib/x86_64-linux-gnu/perl5/5.40/Math/Prime/Util/PrimeArray.pm
Installing /<<PKGBUILDDIR>>/debian/libmath-prime-util-perl/usr/lib/x86_64-linux-gnu/perl5/5.40/Math/Prime/Util/ECAffinePoint.pm
Installing /<<PKGBUILDDIR>>/debian/libmath-prime-util-perl/usr/share/man/man3/Math::Prime::Util::Entropy.3pm
Installing /<<PKGBUILDDIR>>/debian/libmath-prime-util-perl/usr/share/man/man3/Math::Prime::Util::ECProjectivePoint.3pm
Installing /<<PKGBUILDDIR>>/debian/libmath-prime-util-perl/usr/share/man/man3/Math::Prime::Util::PrimeArray.3pm
Installing /<<PKGBUILDDIR>>/debian/libmath-prime-util-perl/usr/share/man/man3/Math::Prime::Util::PPFE.3pm
Installing /<<PKGBUILDDIR>>/debian/libmath-prime-util-perl/usr/share/man/man3/ntheory.3pm
Installing /<<PKGBUILDDIR>>/debian/libmath-prime-util-perl/usr/share/man/man3/Math::Prime::Util::RandomPrimes.3pm
Installing /<<PKGBUILDDIR>>/debian/libmath-prime-util-perl/usr/share/man/man3/Math::Prime::Util.3pm
Installing /<<PKGBUILDDIR>>/debian/libmath-prime-util-perl/usr/share/man/man3/Math::Prime::Util::ECAffinePoint.3pm
Installing /<<PKGBUILDDIR>>/debian/libmath-prime-util-perl/usr/share/man/man3/Math::Prime::Util::ChaCha.3pm
Installing /<<PKGBUILDDIR>>/debian/libmath-prime-util-perl/usr/share/man/man3/Math::Prime::Util::PP.3pm
Installing /<<PKGBUILDDIR>>/debian/libmath-prime-util-perl/usr/share/man/man3/Math::Prime::Util::ZetaBigFloat.3pm
Installing /<<PKGBUILDDIR>>/debian/libmath-prime-util-perl/usr/share/man/man3/Math::Prime::Util::MemFree.3pm
Installing /<<PKGBUILDDIR>>/debian/libmath-prime-util-perl/usr/share/man/man3/Math::Prime::Util::PrimalityProving.3pm
Installing /<<PKGBUILDDIR>>/debian/libmath-prime-util-perl/usr/share/man/man3/Math::Prime::Util::PrimeIterator.3pm
Installing /<<PKGBUILDDIR>>/debian/libmath-prime-util-perl/usr/bin/factor.pl
Installing /<<PKGBUILDDIR>>/debian/libmath-prime-util-perl/usr/bin/primes.pl
make[2]: Leaving directory '/<<PKGBUILDDIR>>'
mv /<<PKGBUILDDIR>>/debian/libmath-prime-util-perl/usr/bin/primes.pl /<<PKGBUILDDIR>>/debian/libmath-prime-util-perl/usr/bin/primes
mkdir -p /<<PKGBUILDDIR>>/debian/libmath-prime-util-perl/usr/share/man/man1
PERL5LIB=/<<PKGBUILDDIR>>/debian/libmath-prime-util-perl//usr/lib/x86_64-linux-gnu/perl5/5.40 help2man -n 'Display all primes' --no-info --no-discard-stderr /<<PKGBUILDDIR>>/debian/libmath-prime-util-perl/usr/bin/primes | gzip -9 > /<<PKGBUILDDIR>>/debian/libmath-prime-util-perl/usr/share/man/man1/primes.1.gz
PERL5LIB=/<<PKGBUILDDIR>>/debian/libmath-prime-util-perl//usr/lib/x86_64-linux-gnu/perl5/5.40 help2man -n 'Print prime factors' --no-info --no-discard-stderr /<<PKGBUILDDIR>>/debian/libmath-prime-util-perl/usr/bin/factor.pl | gzip -9 > /<<PKGBUILDDIR>>/debian/libmath-prime-util-perl/usr/share/man/man1/factor.pl.1.gz
find /<<PKGBUILDDIR>>/debian/libmath-prime-util-perl/usr/bin -type f -print0 | \
	 xargs -r0 sed -i -e '1s|^#!/usr/bin/env perl|#!/usr/bin/perl|'
make[1]: Leaving directory '/<<PKGBUILDDIR>>'
   dh_installdocs -a
   dh_installchangelogs -a
   debian/rules override_dh_installexamples
make[1]: Entering directory '/<<PKGBUILDDIR>>'
dh_installexamples
find /<<PKGBUILDDIR>>/debian/libmath-prime-util-perl/usr/share/doc/libmath-prime-util-perl/examples -type f -name "*.pl" -print0 | \
	xargs -r0 sed -i -e '1s|^#!/usr/bin/env perl|#!/usr/bin/perl|'
make[1]: Leaving directory '/<<PKGBUILDDIR>>'
   dh_installman -a
   dh_lintian -a
   dh_perl -a
   dh_link -a
   dh_strip_nondeterminism -a
   dh_compress -a
   dh_fixperms -a
   dh_missing -a
   dh_dwz -a
   dh_strip -a
   dh_makeshlibs -a
   dh_shlibdeps -a
dpkg-shlibdeps: warning: diversions involved - output may be incorrect
 diversion by libc6 from: /lib64/ld-linux-x86-64.so.2
dpkg-shlibdeps: warning: diversions involved - output may be incorrect
 diversion by libc6 to: /lib64/ld-linux-x86-64.so.2.usr-is-merged
   dh_installdeb -a
   dh_gencontrol -a
   dh_md5sums -a
   dh_builddeb -a
dpkg-deb: building package 'libmath-prime-util-perl' in '../libmath-prime-util-perl_0.73-2+b5_amd64.deb'.
dpkg-deb: building package 'libmath-prime-util-perl-dbgsym' in '../libmath-prime-util-perl-dbgsym_0.73-2+b5_amd64.deb'.
 dpkg-genbuildinfo --build=any -O../libmath-prime-util-perl_0.73-2+b5_amd64.buildinfo
 dpkg-genchanges --build=any -mDebian Perl autobuilder <perl@packages.debian.org> -O../libmath-prime-util-perl_0.73-2+b5_amd64.changes
dpkg-genchanges: info: binary-only arch-specific upload (source code and arch-indep packages not included)
 dpkg-source -Zxz --after-build .
dpkg-buildpackage: info: binary-only upload (no source included)
--------------------------------------------------------------------------------
Build finished at 2024-09-14T15:01:22Z

Finished
--------

I: Built successfully

+------------------------------------------------------------------------------+
| Changes                                                                      |
+------------------------------------------------------------------------------+


libmath-prime-util-perl_0.73-2+b5_amd64.changes:
------------------------------------------------

Format: 1.8
Date: Sat, 14 Sep 2024 15:01:01 +0000
Source: libmath-prime-util-perl (0.73-2)
Binary: libmath-prime-util-perl libmath-prime-util-perl-dbgsym
Binary-Only: yes
Architecture: amd64
Version: 0.73-2+b5
Distribution: perl-5.40
Urgency: low
Maintainer: Debian Perl autobuilder <perl@packages.debian.org>
Changed-By: Debian Perl autobuilder <perl@packages.debian.org>
Description:
 libmath-prime-util-perl - utilities related to prime numbers, including fast sieves and fac
Changes:
 libmath-prime-util-perl (0.73-2+b5) perl-5.40; urgency=low, binary-only=yes
 .
   * Binary-only non-maintainer upload for amd64; no source changes.
   * Rebuild for Perl 5.40
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Files:
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 cb3d294943b9616c8588e4d866724ec1 5738 perl optional libmath-prime-util-perl_0.73-2+b5_amd64.buildinfo
 ea5706d8ff465f86e0ce5a986737d316 453740 perl optional libmath-prime-util-perl_0.73-2+b5_amd64.deb

+------------------------------------------------------------------------------+
| Buildinfo                                                                    |
+------------------------------------------------------------------------------+

Format: 1.0
Source: libmath-prime-util-perl (0.73-2)
Binary: libmath-prime-util-perl libmath-prime-util-perl-dbgsym
Architecture: amd64
Version: 0.73-2+b5
Binary-Only-Changes:
 libmath-prime-util-perl (0.73-2+b5) perl-5.40; urgency=low, binary-only=yes
 .
   * Binary-only non-maintainer upload for amd64; no source changes.
   * Rebuild for Perl 5.40
 .
  -- Debian Perl autobuilder <perl@packages.debian.org>  Sat, 14 Sep 2024 15:01:01 +0000
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Build-Origin: Debian
Build-Architecture: amd64
Build-Date: Sat, 14 Sep 2024 15:01:22 +0000
Build-Path: /<<PKGBUILDDIR>>
Build-Tainted-By:
 merged-usr-via-aliased-dirs
 usr-local-has-programs
Installed-Build-Depends:
 autoconf (= 2.72-3),
 automake (= 1:1.16.5-1.3),
 autopoint (= 0.22.5-2),
 autotools-dev (= 20220109.1),
 base-files (= 13.5),
 base-passwd (= 3.6.4),
 bash (= 5.2.32-1+b1),
 binutils (= 2.43.1-4),
 binutils-common (= 2.43.1-4),
 binutils-x86-64-linux-gnu (= 2.43.1-4),
 bsdextrautils (= 2.40.2-8),
 bsdutils (= 1:2.40.2-8),
 build-essential (= 12.10),
 bzip2 (= 1.0.8-6),
 coreutils (= 9.4-3.1),
 cpp (= 4:14.1.0-2),
 cpp-13 (= 13.3.0-6),
 cpp-13-x86-64-linux-gnu (= 13.3.0-6),
 cpp-14 (= 14.2.0-4),
 cpp-14-x86-64-linux-gnu (= 14.2.0-4),
 cpp-x86-64-linux-gnu (= 4:14.1.0-2),
 dash (= 0.5.12-9),
 debconf (= 1.5.87),
 debhelper (= 13.20),
 debianutils (= 5.20),
 dh-autoreconf (= 20),
 dh-strip-nondeterminism (= 1.14.0-1),
 diffutils (= 1:3.10-1),
 dpkg (= 1.22.11),
 dpkg-dev (= 1.22.11),
 dwz (= 0.15-1+b1),
 file (= 1:5.45-3),
 findutils (= 4.10.0-3),
 g++ (= 4:14.1.0-2),
 g++-14 (= 14.2.0-4),
 g++-14-x86-64-linux-gnu (= 14.2.0-4),
 g++-x86-64-linux-gnu (= 4:14.1.0-2),
 gcc (= 4:14.1.0-2),
 gcc-13 (= 13.3.0-6),
 gcc-13-base (= 13.3.0-6),
 gcc-13-x86-64-linux-gnu (= 13.3.0-6),
 gcc-14 (= 14.2.0-4),
 gcc-14-base (= 14.2.0-4),
 gcc-14-x86-64-linux-gnu (= 14.2.0-4),
 gcc-x86-64-linux-gnu (= 4:14.1.0-2),
 gettext (= 0.22.5-2),
 gettext-base (= 0.22.5-2),
 grep (= 3.11-4),
 groff-base (= 1.23.0-5),
 gzip (= 1.12-1.1),
 help2man (= 1.49.3),
 hostname (= 3.23+nmu2),
 init-system-helpers (= 1.66),
 intltool-debian (= 0.35.0+20060710.6),
 libacl1 (= 2.3.2-2),
 libarchive-zip-perl (= 1.68-1),
 libasan8 (= 14.2.0-4),
 libatomic1 (= 14.2.0-4),
 libattr1 (= 1:2.5.2-1),
 libaudit-common (= 1:4.0.1-1),
 libaudit1 (= 1:4.0.1-1),
 libbinutils (= 2.43.1-4),
 libblkid1 (= 2.40.2-8),
 libbz2-1.0 (= 1.0.8-6),
 libc-bin (= 2.40-2),
 libc-dev-bin (= 2.40-2),
 libc6 (= 2.40-2),
 libc6-dev (= 2.40-2),
 libcap-ng0 (= 0.8.5-2),
 libcap2 (= 1:2.66-5),
 libcc1-0 (= 14.2.0-4),
 libcrypt-dev (= 1:4.4.36-5),
 libcrypt1 (= 1:4.4.36-5),
 libctf-nobfd0 (= 2.43.1-4),
 libctf0 (= 2.43.1-4),
 libdb5.3t64 (= 5.3.28+dfsg2-7),
 libdebconfclient0 (= 0.272),
 libdebhelper-perl (= 13.20),
 libdevel-checklib-perl (= 1.16-1),
 libdpkg-perl (= 1.22.11),
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 libgdbm6t64 (= 1.24-2),
 libgmp10 (= 2:6.3.0+dfsg-2+b1),
 libgomp1 (= 14.2.0-4),
 libgprofng0 (= 2.43.1-4),
 libhwasan0 (= 14.2.0-4),
 libicu72 (= 72.1-5),
 libisl23 (= 0.27-1),
 libitm1 (= 14.2.0-4),
 libjansson4 (= 2.14-2+b2),
 liblocale-gettext-perl (= 1.07-7+b1),
 liblsan0 (= 14.2.0-4),
 liblzma5 (= 5.6.2-2),
 libmagic-mgc (= 1:5.45-3),
 libmagic1t64 (= 1:5.45-3),
 libmath-prime-util-gmp-perl (= 0.52-2+b4),
 libmd0 (= 1.1.0-2),
 libmount1 (= 2.40.2-8),
 libmpc3 (= 1.3.1-1+b2),
 libmpfr6 (= 4.2.1-1+b1),
 libpam-modules (= 1.5.3-7),
 libpam-modules-bin (= 1.5.3-7),
 libpam-runtime (= 1.5.3-7),
 libpam0g (= 1.5.3-7),
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 libperl-dev (= 5.40.0-5),
 libperl5.40 (= 5.40.0-5),
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 libsub-uplevel-perl (= 0.2800-3),
 libsystemd0 (= 256.6-1),
 libtest-warn-perl (= 0.37-2),
 libtinfo6 (= 6.5-2),
 libtool (= 2.4.7-7),
 libtsan2 (= 14.2.0-4),
 libubsan1 (= 14.2.0-4),
 libuchardet0 (= 0.0.8-1+b1),
 libudev1 (= 256.6-1),
 libunistring5 (= 1.2-1),
 libuuid1 (= 2.40.2-8),
 libxml2 (= 2.12.7+dfsg-3+b1),
 libzstd1 (= 1.5.6+dfsg-1),
 linux-libc-dev (= 6.10.9-1),
 m4 (= 1.4.19-4),
 make (= 4.3-4.1),
 man-db (= 2.13.0-1),
 mawk (= 1.3.4.20240905-1),
 ncurses-base (= 6.5-2),
 ncurses-bin (= 6.5-2),
 openssl-provider-legacy (= 3.3.2-1),
 patch (= 2.7.6-7),
 perl (= 5.40.0-5),
 perl-base (= 5.40.0-5),
 perl-modules-5.40 (= 5.40.0-5),
 po-debconf (= 1.0.21+nmu1),
 rpcsvc-proto (= 1.4.3-1),
 sed (= 4.9-2),
 sensible-utils (= 0.0.24),
 sysvinit-utils (= 3.10-2),
 tar (= 1.35+dfsg-3),
 usr-is-merged (= 39),
 util-linux (= 2.40.2-8),
 xz-utils (= 5.6.2-2),
 zlib1g (= 1:1.3.dfsg+really1.3.1-1)
Environment:
 DEB_BUILD_OPTIONS="parallel=2"
 LANG="C.UTF-8"
 LC_COLLATE="C.UTF-8"
 LC_CTYPE="C.UTF-8"
 LD_LIBRARY_PATH="/usr/lib/libeatmydata"
 SOURCE_DATE_EPOCH="1726326061"


+------------------------------------------------------------------------------+
| Package contents                                                             |
+------------------------------------------------------------------------------+


libmath-prime-util-perl-dbgsym_0.73-2+b5_amd64.deb
--------------------------------------------------

 new Debian package, version 2.0.
 size 490996 bytes: control archive=548 bytes.
     439 bytes,    12 lines      control
     106 bytes,     1 lines      md5sums
 Package: libmath-prime-util-perl-dbgsym
 Source: libmath-prime-util-perl (0.73-2)
 Version: 0.73-2+b5
 Auto-Built-Package: debug-symbols
 Architecture: amd64
 Maintainer: Debian Perl Group <pkg-perl-maintainers@lists.alioth.debian.org>
 Installed-Size: 507
 Depends: libmath-prime-util-perl (= 0.73-2+b5)
 Section: debug
 Priority: optional
 Description: debug symbols for libmath-prime-util-perl
 Build-Ids: 57056f08166361bb9d762487ee3d4005967ceb86

drwxr-xr-x root/root         0 2024-09-14 15:01 ./
drwxr-xr-x root/root         0 2024-09-14 15:01 ./usr/
drwxr-xr-x root/root         0 2024-09-14 15:01 ./usr/lib/
drwxr-xr-x root/root         0 2024-09-14 15:01 ./usr/lib/debug/
drwxr-xr-x root/root         0 2024-09-14 15:01 ./usr/lib/debug/.build-id/
drwxr-xr-x root/root         0 2024-09-14 15:01 ./usr/lib/debug/.build-id/57/
-rw-r--r-- root/root    508040 2024-09-14 15:01 ./usr/lib/debug/.build-id/57/056f08166361bb9d762487ee3d4005967ceb86.debug
drwxr-xr-x root/root         0 2024-09-14 15:01 ./usr/share/
drwxr-xr-x root/root         0 2024-09-14 15:01 ./usr/share/doc/
lrwxrwxrwx root/root         0 2024-09-14 15:01 ./usr/share/doc/libmath-prime-util-perl-dbgsym -> libmath-prime-util-perl


libmath-prime-util-perl_0.73-2+b5_amd64.deb
-------------------------------------------

 new Debian package, version 2.0.
 size 453740 bytes: control archive=3120 bytes.
    1671 bytes,    31 lines      control
    6923 bytes,    74 lines      md5sums
 Package: libmath-prime-util-perl
 Source: libmath-prime-util-perl (0.73-2)
 Version: 0.73-2+b5
 Architecture: amd64
 Maintainer: Debian Perl Group <pkg-perl-maintainers@lists.alioth.debian.org>
 Installed-Size: 1290
 Depends: perl (>= 5.40.0-5), perlapi-5.40.0, libc6 (>= 2.29), libmath-prime-util-gmp-perl
 Recommends: libdigest-sha-perl, libmath-bigint-gmp-perl
 Section: perl
 Priority: optional
 Homepage: https://metacpan.org/release/Math-Prime-Util
 Description: utilities related to prime numbers, including fast sieves and factoring
  Math::Prime::Util is a set of perl utilities related to prime
  numbers. These include multiple sieving methods, is_prime,
  prime_count, nth_prime, approximations and bounds for the prime_count
  and nth prime, next_prime and prev_prime, factoring utilities, and
  more.
  .
  The default sieving and factoring are intended to be (and currently are) the
  fastest on CPAN, including Math::Prime::XS, Math::Prime::FastSieve,
  Math::Factor::XS, Math::Prime::TiedArray, Math::Big::Factors,
  Math::Factoring, and Math::Primality (when the GMP module is available). For
  numbers in the 10-20 digit range, it is often orders of magnitude faster.
  Typically it is faster than Math::Pari for 64-bit operations.
  .
  All operations support both Perl UV's (32-bit or 64-bit) and bignums. It
  requires no external software for big number support, as there are Perl
  implementations included that solely use Math::BigInt and Math::BigFloat.
  However, performance will be improved for most big number functions by
  installing Math::Prime::Util::GMP, and is definitely recommended if you do
  many bignum operations. Also look into Math::Pari as an alternative.

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-rwxr-xr-x root/root     20833 2024-09-14 15:01 ./usr/bin/primes
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-rw-r--r-- root/root    218154 2018-11-15 18:49 ./usr/lib/x86_64-linux-gnu/perl5/5.40/Math/Prime/Util.pm
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-rw-r--r-- root/root      6293 2018-11-15 18:49 ./usr/lib/x86_64-linux-gnu/perl5/5.40/Math/Prime/Util/ECAffinePoint.pm
-rw-r--r-- root/root      6554 2018-11-15 18:49 ./usr/lib/x86_64-linux-gnu/perl5/5.40/Math/Prime/Util/ECProjectivePoint.pm
-rw-r--r-- root/root      5291 2018-11-15 18:49 ./usr/lib/x86_64-linux-gnu/perl5/5.40/Math/Prime/Util/Entropy.pm
-rw-r--r-- root/root      2125 2018-11-15 18:49 ./usr/lib/x86_64-linux-gnu/perl5/5.40/Math/Prime/Util/MemFree.pm
-rw-r--r-- root/root    213511 2018-11-15 18:49 ./usr/lib/x86_64-linux-gnu/perl5/5.40/Math/Prime/Util/PP.pm
-rw-r--r-- root/root     28166 2018-11-15 17:44 ./usr/lib/x86_64-linux-gnu/perl5/5.40/Math/Prime/Util/PPFE.pm
-rw-r--r-- root/root     31887 2018-11-15 18:49 ./usr/lib/x86_64-linux-gnu/perl5/5.40/Math/Prime/Util/PrimalityProving.pm
-rw-r--r-- root/root     12045 2018-11-15 18:49 ./usr/lib/x86_64-linux-gnu/perl5/5.40/Math/Prime/Util/PrimeArray.pm
-rw-r--r-- root/root      6907 2018-11-15 18:49 ./usr/lib/x86_64-linux-gnu/perl5/5.40/Math/Prime/Util/PrimeIterator.pm
-rw-r--r-- root/root     38865 2018-11-15 18:49 ./usr/lib/x86_64-linux-gnu/perl5/5.40/Math/Prime/Util/RandomPrimes.pm
-rw-r--r-- root/root     27514 2018-11-15 18:49 ./usr/lib/x86_64-linux-gnu/perl5/5.40/Math/Prime/Util/ZetaBigFloat.pm
drwxr-xr-x root/root         0 2024-09-14 15:01 ./usr/lib/x86_64-linux-gnu/perl5/5.40/auto/
drwxr-xr-x root/root         0 2024-09-14 15:01 ./usr/lib/x86_64-linux-gnu/perl5/5.40/auto/Math/
drwxr-xr-x root/root         0 2024-09-14 15:01 ./usr/lib/x86_64-linux-gnu/perl5/5.40/auto/Math/Prime/
drwxr-xr-x root/root         0 2024-09-14 15:01 ./usr/lib/x86_64-linux-gnu/perl5/5.40/auto/Math/Prime/Util/
-rw-r--r-- root/root    386920 2024-09-14 15:01 ./usr/lib/x86_64-linux-gnu/perl5/5.40/auto/Math/Prime/Util/Util.so
-rw-r--r-- root/root     14677 2018-11-15 18:49 ./usr/lib/x86_64-linux-gnu/perl5/5.40/ntheory.pm
drwxr-xr-x root/root         0 2024-09-14 15:01 ./usr/share/
drwxr-xr-x root/root         0 2024-09-14 15:01 ./usr/share/doc/
drwxr-xr-x root/root         0 2024-09-14 15:01 ./usr/share/doc/libmath-prime-util-perl/
-rw-r--r-- root/root      3730 2018-11-15 17:44 ./usr/share/doc/libmath-prime-util-perl/TODO.gz
-rw-r--r-- root/root       213 2024-09-14 15:01 ./usr/share/doc/libmath-prime-util-perl/changelog.Debian.amd64.gz
-rw-r--r-- root/root       997 2024-09-14 15:01 ./usr/share/doc/libmath-prime-util-perl/changelog.Debian.gz
-rw-r--r-- root/root     23812 2018-11-15 18:49 ./usr/share/doc/libmath-prime-util-perl/changelog.gz
-rw-r--r-- root/root      1543 2021-11-05 17:29 ./usr/share/doc/libmath-prime-util-perl/copyright
drwxr-xr-x root/root         0 2024-09-14 15:01 ./usr/share/doc/libmath-prime-util-perl/examples/
-rw-r--r-- root/root      2151 2016-10-08 20:09 ./usr/share/doc/libmath-prime-util-perl/examples/README
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-rwxr-xr-x root/root      2691 2024-09-14 15:01 ./usr/share/doc/libmath-prime-util-perl/examples/fibprime-mce.pl
-rwxr-xr-x root/root      1221 2024-09-14 15:01 ./usr/share/doc/libmath-prime-util-perl/examples/fibprime-serial.pl
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-rw-r--r-- root/root      3227 2024-09-14 15:01 ./usr/share/doc/libmath-prime-util-perl/examples/inverse_totient.pl
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-rwxr-xr-x root/root      3024 2024-09-14 15:01 ./usr/share/doc/libmath-prime-util-perl/examples/twin_primes.pl
-rwxr-xr-x root/root     18586 2024-09-14 15:01 ./usr/share/doc/libmath-prime-util-perl/examples/verify-cert.pl
-rwxr-xr-x root/root      1879 2024-09-14 15:01 ./usr/share/doc/libmath-prime-util-perl/examples/verify-gmp-ecpp-cert.pl
-rwxr-xr-x root/root      4512 2024-09-14 15:01 ./usr/share/doc/libmath-prime-util-perl/examples/verify-primegaps.pl
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-rw-r--r-- root/root       191 2021-11-05 17:29 ./usr/share/lintian/overrides/libmath-prime-util-perl
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+------------------------------------------------------------------------------+
| Post Build                                                                   |
+------------------------------------------------------------------------------+


+------------------------------------------------------------------------------+
| Cleanup                                                                      |
+------------------------------------------------------------------------------+

Purging /<<BUILDDIR>>
Not cleaning session: cloned chroot in use

+------------------------------------------------------------------------------+
| Summary                                                                      |
+------------------------------------------------------------------------------+

Build Architecture: amd64
Build Type: any
Build-Space: 11192
Build-Time: 21
Distribution: perl-5.40
Host Architecture: amd64
Install-Time: 5
Job: /srv/debomatic/incoming/libmath-prime-util-perl_0.73-2.dsc
Machine Architecture: amd64
Package: libmath-prime-util-perl
Package-Time: 35
Source-Version: 0.73-2
Space: 11192
Status: successful
Version: 0.73-2+b5
--------------------------------------------------------------------------------
Finished at 2024-09-14T15:01:22Z
Build needed 00:00:35, 11192k disk space