Primality Proving
Software, Lucas's Primality Test With Factored N-1, Primality Proving, Yahoo Groups : PrimeForm, Yves Gallot's Proth Search Page
Pseudoprimes
Carmichael Number, Carmichael Numbers and the Miller-Rabin Test, Fun with Carmichael Numbers, Generalized Carmichael Numbers, Perrin Numbers, Pseudoprimes Based On Symmetric Functions
Contrast Primality Tests
A report by Minjae Kim.
Detecting False Reports In Primality Tests By The
Presents a probabilistic primality test based on power series.
Least Primitive Root of Prime Numbers
Empirical and statistical results showing the smallest base required to prove a number is prime. Includes theory and conjectures.
Lucas Sequences in Cryptography
Focus on their use in primality testing, with pseudo-code. Includes an explanation of the strong Lucas PRP test.
Perrin Numbers
Includes details of primality testing using the Perrin sequence, listing the first 17 Perrin pseudoprimes.
Primality Testing
The problem of primality testing and factorization are two distinct problems. If we concentrate on primality testing, we never need to know the actual factors. The only question to be answered is "is the number in question prime or composite."
Primality Testing Applet
A small Java applet to interactively perform strong probable primality tests.
PRIMES Is In P
A deterministic polynomial time primality test, developed by Manindra Agarwal, Nitin Saxena and Neeraj Kayal of IIT Kanpur. Preprint in PS/PDF and links to media reports.
The PRIMES is in P Little FAQ
Answers to some frequently asked question about the recent proof that PRIMES is in P, compiled by Anton Stiglic.