Open Directory - Science: Math: Number Theory: Prime Numbers: Primality Tests: Primality Proving: Software

See also:

The Prime Pages' Links - A set of links to programs to prescreen, test, and prove primality for large primes.
ECPP - An Elliptic Curve Primality Proving program by François Morain. Author has later implemented fastECPP which is not publicly available.
Glucas - Yet Another FFT - Free software program to test primality of Mersenne numbers (numbers with the form 2^n - 1).
Jean Penné's LLR - Proves k*2^n-1 with the Lucas-Lehmer-Riesel algorithm and k*2^n+1 with Proth's theorem. Free Windows and Linux download.
Paul Jobling's NewPGen - Sieving program for various listed forms involving a power or primorial. Page has introduction and free downloads for Windows or Linux.
Prime Number Spiral - Windows software for exploring the Prime Number (Ulam's) Spiral. Online purchase.
Primo - Elliptic Curve Primality Proving program which has set monoprocessor ECPP records. Windows freeware by Marcel Martin.
Yahoo Groups: Primeform - Discussion group for PrimeFormGW and prime numbers. Program can trial factor and probable prime test any number, and prove many forms. Free Windows and Linux downloads after joining group.
Yves Gallot's Proth.exe - Program to prove large primes on the form k*2^n+/-1. Page has introduction and free Windows download.

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Last update: Friday, August 14, 2009 5:28:46 PM EDT - edit

Open Directory - Science: Math: Number Theory: Prime Numbers: Mersenne

See also:

Great Internet Mersenne Prime Search (GIMPS) - Large distributed project to primality test all Mersenne numbers.
Ars Technica Team Prime Rib - A distributed computing team dedicated to finding Mersenne prime numbers.
Internet PrimeNet Server - PrimeNet is a distributed computing project for the Great Internet Mersenne Prime Search, co-ordinating the assignment of work and collection of results.
Marin Mersenne - Biography of the Minim friar and his contributions to number theory. Includes references, pictures, and cross-references to topics.
Mersenne Prime Digits and Names - Landon Curt Noll lists the decimal, English, and American expansions of all the known Mersenne primes.
Mersenne Wiki - Information about the Great Internet Mersenne Prime Search, other distributed prime projects, and the related mathematics.
The Prime Pages: Mersenne Primes - History, theorems, tables, conjectures, heuristics.
Will Edgington's Mersenne Page - Files with Mersenne factors. Includes proofs of theorems related to the search for Mersenne primes and factors.
mersenneforum.org - A forum about prime numbers and computerized searches for more of them. Includes discussions of software and hardware issues encountered by searchers.

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Last update: Sunday, November 9, 2008 9:01:53 PM EST - edit