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.
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.
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.
KANT / KASH
- http://www.math.tu-berlin.de/~kant/kash.html
- 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.
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.
NZMATH
- http://tnt.math.metro-u.ac.jp/nzmath/
- Python based number theory oriented calculation system, developed at Tokyo Metropolitan University. Downloads, mailing list.
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.
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.
