The various algorithms to determine the primality or compositeness of a number are ideally suited to computer programs, particularly when the numbers are large. This category lists programs designed specifically to search for prime numbers and prove their primality.

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ECPP

An Elliptic Curve Primality Proving program by FranÃ§ois Morain. Author has later implemented fastECPP which is not publicly available.

Jean PennÃ©'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.

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.

Last update:

April 30, 2016 at 17:57:34 UTC
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