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SAGE -
System for Arithmetic Geometry Experimentation: a framework for number theory, algebra, and geometry, initially designed for computing with elliptic curves and modular forms, by William Stein. Open source under GPL.
http://modular.fas.harvard.edu/SAGE/ Large Number Arithmetic in BASIC -
Library for large-integer arithmetic, plus some number theory modules.
http://largeint.sourceforge.net/ 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 ECMNET -
Elliptic curve factoring software.
http://www.loria.fr/~zimmerma/records/ecmnet.html Implementations of Extended LLL -
By Wilberd van der Kallen.
http://www.math.uu.nl/people/vdkallen/lllimplementations.html Number Field Sieve NET -
A client/server system for NFSNET by Henrik Olsen.
http://www.iaeste.dk/~henrik/projects/nfsnet.html LiDIA -
C++ Library For Computational Number Theory.
http://www.cdc.informatik.tu-darmstadt.de/TI/LiDIA/ 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/ Schulenberg and Associates -
Factoring programs. Windows, free download.
http://www.schulenberg.com/ 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 MIRACL -
Multiprecision Integer and Rational Arithmetic C/C++ Library.
http://indigo.ie/~mscott/ CLN - Class Library for Numbers -
C++ library by Bruno Haible.
http://www.ginac.de/CLN/ Number-Theoretic Hacks -
Algorithms implemented by David Eppstein.
http://www.ics.uci.edu/~eppstein/numth/ p-adic Arithmetic -
A Mathematica package by Stany De Smedt.
http://library.wolfram.com/infocenter/MathSource/556/ Java PHASER Project -
An application for numerically and graphically analyzing dynamical systems.
http://www.math.miami.edu/~phaser MAGMA/PARI Calculator -
Web interface for short programs in either language.
http://modular.fas.harvard.edu/calc/ 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 Encyclopedia of Integer Sequences Seeker -
EIS-Seeker is a libguile-based scheme interpreter devoted to the study of the Encyclopedia of Integer Sequences database. It is intended to help find new relations between sequences. C/Scheme, Posix.
http://sourceforge.net/projects/eisseeker ZEN -
A toolbox for computation in finite rings, by Florent Chabaud and Reynald Lercier. ANSI-C source, free download, GPL.
http://fchabaud.free.fr/English/ZEN/ Maple Worksheets by John Cosgrave -
A selection of Maple (V.5) worksheets for teaching purposes.
http://www.spd.dcu.ie/johnbcos/Maple.htm Math Archives Software -
PC/Number Theory section.
http://archives.math.utk.edu/software/msdos/number.theory 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 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/ 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 Multiprecision Software Directory -
Fortran multiprecision software by David H. Bailey of Lawrence Berkeley Lab.
http://crd.lbl.gov/~dhbailey/mpdist/mpdist.html Math Archives Software -
Mac/Number Theory section.
http://archives.math.utk.edu/software/mac/numberTheory/.directory.html L -
A C++ class library, datasets and command line program for computing zeros and values of L-functions, by Michael Rubinstein.
http://pmmac03.math.uwaterloo.ca/~mrubinst/L_function_public/L.html 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 cBigNumber -
Portable C++ class for integers with unlimited range, designed to be fast, functional and simple in use.
http://www.imach.uran.ru/cbignum/ apfloat -
High-performance arbitrary precision arithmetic package for C++ and Java.
http://www.apfloat.org/ Kaprekar Series Generator -
A java application for determining the Kaprekar Constants and Series for numbers in various radixes.
http://kaprekar.sourceforge.net/ SIMATH -
Computer algebra system for number theoretic applications.
http://tnt.math.metro-u.ac.jp/simath/ GIMPS FAQ list -
About the Mersenne Prime Freeware.
http://www.mersenne.org/faq.htm NZMATH -
Python based number theory oriented calculation system, developed at Tokyo Metropolitan University. Downloads, mailing list.
http://tnt.math.metro-u.ac.jp/nzmath/ 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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