Prime Numbers
All You Wanted to Know about Primes
Information by Joe McLean. Includes fundamentals, frequency, primality proofs and special types. Many definitions and theorems.
Animation of Eratosthenes' Prime Sieve
An interactive animation of the sieve of Eratosthenes to obtain prime numbers (JavaScript required).
Bipeds and Prime Numbers
Graduation address by former professor of philosophy Garrett Barden. Mentions primes as sign of human curiosity.
Cunningham Chain Records
Sequences of nearly doubled primes, maintained by Dirk Augustin.
Deficient Factorials
A summary of searches for primes of the form n!/k+-1 (k above 1), n!/k!+-1 (k above 3) and n!/n#+-1.
Distribution of the Prime Numbers
Web article by Johan G. van der Galiën showing that the primes do not satisfy certain statistical tests for randomness.
Electronic Frontier Foundation: Cooperative Computing Awards
Offers $100000, $150000 and $250000 for the first discovery of a prime above 10, 100 and 1000 million digits.
Entropy and Prime Numbers
Entropy of a nonnegative adjacency matrix related to prime numbers.
Formulae for Primes
Contains a formula by Jones, Sato, Wada and Wiens. The set of primes is the set of positive values taken by this expression.
Generalized Woodall Numbers
An organized search for primes of the form n*b^n-1.
Hardy-Littlewood Constants
Infinite series over primes are the main topic in Hadamard-de la Vallée Poussin constants and in Brun's constant.
Henri Lifchitz
Research in number theory, prime numbers and parity of arithmetic functions. Includes primality testing theorems and prime number chains. In English and French.
Introduction to Twin Primes and Brun's Constant
An article by Pascal Sebah with the results of computation of the twin primes up to 5.10^15.
Introductory Prime Number Theory Resources
Notes and links compiled by Mark Watkins on the relation of the Riemann zeta function to the distribution of prime numbers.
Jens Kruse Andersen
Prime constellation records. Arithmetic progressions, simultaneous primes, prime gaps.
MacTutor History of Mathematics: Prime Numbers
Includes biographies on many mathematicians.
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