| Directory > Science > Math > Number Theory > Software NZMATH
Python based number theory oriented calculation system, developed at Tokyo Metropolitan University.
Downloads, mailing list.
http://tnt.math.metro-u.ac.jp/nzmath/
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Magma Computational Algebra System Home Page
A large, well-supported software package for computationally hard problems in algebra, number
theory, geometry and combinatorics.
http://magma.maths.usyd.edu.au/
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Large Number Arithmetic in BASIC
Library for large-integer arithmetic, plus some number theory modules.
http://www.home.zonnet.nl/vspickelen/Largefiles/LargeInt.htm
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MAGMA/PARI Calculator
Web interface for short programs in either language.
http://modular.fas.harvard.edu/calc/
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Factorizer
A Windows program to find all factors of any positive integer less than 2^31 - 1; decompose numbers
into their prime constituents; find prime numbersand pairs of primes; and to plot Erdos-Kac and
Palmen Color histograms. Down load free demo, order full version online.
http://www.hermetic.ch/factors/factors.htm
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GNUBC
Supports arbitrary precision integer arithmetic calculations with interactive execution: it is a
superior version of the basic bc program which comes with the UNIX operating system. Keith
Matthews has written several number-theoretic programs.
http://www.numbertheory.org/gnubc/gnubc.html
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CALC
A calculator program for doing arbitrary precision integer arithmetic, written in ANSI C and Yacc,
with a number of built-in functions for number theory, by Keith Matthews.
http://www.numbertheory.org/calc/krm_calc.html
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Galois
An algebra/number theory package by R. Lidl, R. W. Matthews and R. Wells.
http://www.riaca.win.tue.nl/archive/can/SystemsOverview/Special/NumberTheory/Galois.html
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SIMATH
Computer algebra system for number theoretic applications.
http://tnt.math.metro-u.ac.jp/simath/
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apfloat
High-performance arbitrary precision arithmetic package for C++ and Java.
http://www.apfloat.org/
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Java PHASER Project
An application for numerically and graphically analyzing dynamical systems.
http://www.math.miami.edu/~phaser
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Jim Howell Software
Large integer arithmetic.
http://home.netcom.com/~jrhowell/math/software.htm
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p-adic Arithmetic
A Mathematica package by Stany De Smedt.
http://www.mathsource.com/Content/Applications/Mathematics/0208-392
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ZEN
A toolbox for computation in finite rings, by Florent Chabaud and Reynald Lercier. ANSI-C source,
free download, GPL.
http://www.di.ens.fr/~zen/
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Multiprecision Software Directory
Fortran multiprecision software by David H. Bailey of Lawrence Berkeley Lab.
http://www.nersc.gov/~dhbailey/mpdist/mpdist.html
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Paul's TI-92 Number Theory Archive
Download site for number theory programs adapted from UBASIC/MALM for the TI-92.
http://www.geocities.com/Hollywood/2979/ntheory.html
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Aliquot
A DOS tool to compute aliquot chains with small starting numbers, by Ivo Düntsch.
http://archives.math.utk.edu/software/msdos/dynamics/aliquot/.html
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Number Field Sieve NET
A client/server system for NFSNET by Henrik Olsen.
http://www.iaeste.dk/~henrik/projects/nfsnet.html
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Number-Theoretic Hacks
Algorithms implemented by David Eppstein.
http://www.ics.uci.edu/~eppstein/numth/
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CLN - Class Library for Numbers
C++ library by Bruno Haible.
http://www.ginac.de/CLN/
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Schulenberg and Associates
Factoring programs. Windows, free download.
http://www.schulenberg.com/
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Scientifica Applications on Linux
Number theory software section. Pages for several popular packages.
http://sal.kachinatech.com/A/4/index.shtml
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HiPiLib - High Performance Libraries
Home of PIOLOGIE, a library for arbitrary precision arithmetic, operating on natural, integer and
rational numbers.
http://www.hipilib.de/
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Mersenne Prime Freeware
Freeware to search for Mersenne Primes. Pointers to FreeLIP, GMP, HFloat, apfloat, CALC.
http://www.samurai.com/mersenne/freeware.html
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ECMNET
Elliptic curve factoring software.
http://www.loria.fr/~zimmerma/records/ecmnet.html
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GIMPS FAQ list
About the Mersenne Prime Freeware.
http://www.mersenne.org/faq.htm
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FTP Sites, Calculator Programs and Archives
In the Number Theory Web.
http://www.maths.uq.edu.au/~krm/N1.html
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Math Archives Software
Mac/Number Theory section.
http://archives.math.utk.edu/software/mac/numberTheory/.directory.html
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GNU MP Home Page
Free library for arbitrary precision arithmetic.
http://www.swox.com/gmp/
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Software Packages of Interest to Number Theory
Links maintained by John Cremona.
http://www.maths.nott.ac.uk/personal/jec/packages.html
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MIRACL
Multiprecision Integer and Rational Arithmetic C/C++ Library.
http://indigo.ie/~mscott/
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giantint
Library of routines for large integer arithmetic and number theory.
http://www.perfsci.com/free/giantint/index.html
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Math Archives Software
PC/Number Theory section.
http://archives.math.utk.edu/software/msdos/number.theory
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Implementations of Extended LLL
By Wilberd van der Kallen.
http://www.math.uu.nl/people/vdkallen/lllimplementations.html
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NTL: A Library for doing Number Theory
A high-performance, portable C++ library providing data structures and algorithms for manipulating
signed, arbitrary length integers, and for vectors, matrices, and polynomials over the integers
and over finite fields.
http://www.shoup.net/ntl/
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Maple Worksheets by John Cosgrave
A selection of Maple (V.5) worksheets for teaching purposes.
http://www.spd.dcu.ie/johnbcos/Maple.htm
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ARIBAS
An interactive interpreter for big integer and multi-precision floating point arithmetic with a
Pascal/Modula like syntax. It has several builtin functions for algorithmic number theory.
http://www.mathematik.uni-muenchen.de/~forster/sw/aribas.html
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LiDIA
C++ Library For Computational Number Theory.
http://www.informatik.tu-darmstadt.de/TI/LiDIA/
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KANT / KASH
KANT is a software package for sophisticated computations in number fields and in global function
fields. With KASH you are able to use the powerful KANT V4 functions within a shell.
http://www.math.tu-berlin.de/~kant/kash.html
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A2X Logiciels
FTP site for Pari/GP and GALP.
http://www.ufr-mi.u-bordeaux.fr/A2X/Logiciels.html
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