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NTL: A Library for doing Number Theory - http://www.shoup.net/ntl/
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. |
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SAGE - http://modular.fas.harvard.edu/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. |
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ECMNET - http://www.loria.fr/~zimmerma/records/ecmnet.html
Elliptic curve factoring software. |
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Magma Computational Algebra System Home Page - http://magma.maths.usyd.edu.au/
A large, well-supported software package for computationally hard problems in algebra, number theory, geometry and combinatorics. |
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GIMPS FAQ list - http://www.mersenne.org/faq.htm
About the Mersenne Prime Freeware. |
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CALC - http://www.numbertheory.org/calc/krm_calc.html
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. |
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Implementations of Extended LLL - http://www.math.uu.nl/people/vdkallen/lllimplementations.html
By Wilberd van der Kallen. |
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Multiprecision Software Directory - http://crd.lbl.gov/~dhbailey/mpdist/mpdist.html
Fortran multiprecision software by David H. Bailey of Lawrence Berkeley Lab. |
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Aliquot - http://archives.math.utk.edu/software/msdos/dynamics/aliquot/.html
A DOS tool to compute aliquot chains with small starting numbers, by Ivo Düntsch. |
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NZMATH - http://tnt.math.metro-u.ac.jp/nzmath/
Python based number theory oriented calculation system, developed at Tokyo Metropolitan University. Downloads, mailing list. |
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L - http://pmmac03.math.uwaterloo.ca/~mrubinst/L_function_public/L.html
A C++ class library, datasets and command line program for computing zeros and values of L-functions, by Michael Rubinstein. |
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MAGMA/PARI Calculator - http://modular.fas.harvard.edu/calc/
Web interface for short programs in either language. |
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Number Field Sieve NET - http://www.iaeste.dk/~henrik/projects/nfsnet.html
A client/server system for NFSNET by Henrik Olsen. |
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Factorizer - http://www.hermetic.ch/factors/factors.htm
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. |
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Kaprekar Series Generator - http://kaprekar.sourceforge.net/
A java application for determining the Kaprekar Constants and Series for numbers in various radixes. |
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GNUBC - http://www.numbertheory.org/gnubc/gnubc.html
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. |
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Schulenberg and Associates - http://www.schulenberg.com/
Factoring programs. Windows, free download. |
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ZEN - http://fchabaud.free.fr/English/ZEN/
A toolbox for computation in finite rings, by Florent Chabaud and Reynald Lercier. ANSI-C source, free download, GPL. |
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Java PHASER Project - http://www.math.miami.edu/~phaser
An application for numerically and graphically analyzing dynamical systems. |
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cBigNumber - http://www.imach.uran.ru/cbignum/
Portable C++ class for integers with unlimited range, designed to be fast, functional and simple in use. |