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The Prime Pages - Prime number research, records and resources. Includes largest known primes, finding and proving primes, glossary, curios, links. The Prime Puzzles & Problems Connection - Carlos Rivera's collection of problems and puzzles related to prime numbers. Animation of Eratosthenes' Prime Sieve

An interactive animation of the sieve of Eratosthenes to obtain prime numbers (JavaScript required).

rimes.utm.edu

Applets for Prime Numbers

Factorization and weights of Proth coefficients.

www.brennen.net/primes

Are the Prime Numbers Randomly Distributed?

Web article by Johan G. van der Galiën. Shows that smaller starting digits are more common for primes below 10^9.

www.members.tele2.nl/galien8/prime/prime.html

Ask Dr. Math FAQ: Prime Numbers

Archived questions and answers at different levels.

mathforum.org/dr.math/faq/faq.prime.num.html

Bertrand's Postulate

International Mathematics Olympiad tutorial proving there is always a prime between n and 2n. [PDF]

www.lacim.uqam.ca:16080/~plouffe/OEIS/archive_in_pdf/Bertrand.pdf

Cunningham Chain Records

Sequences of nearly doubled primes, maintained by Dirk Augustin.

users.cybercity.dk/~dsl522332/math/Cunningham_Chain_records.htm

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.

www.eff.org/awards/coop.

Entropy and Prime Numbers

Entropy of a nonnegative adjacency matrix related to prime numbers.

web.tiscali.it/GEB/sfteng.htm

Formulae for Primes

Includes a formula by Jones, Sato, Wada and Wiens. The set of primes is the set of positive values taken by this expression.

www.bath.ac.uk/~ensab/Primes

Gebhard Glöggler

Makes a statement about the number of primes between the squares of odd numbers, and provides a proof of Goldbach's conjecture.

www.g-gloeggler.de

Generalized Fermat Prime Search

Software, results and other resources.

agesperso-orange.fr/yves.gallot/primes/gfn.html

Generalized Woodall Numbers

An organized search for primes of the form n*b^n-1.

science.kennesaw.edu/~jdemaio/generali.htm

Hardy-Littlewood Constants

Infinite series over primes are the main topic in Hadamard-de la Vallée Poussin constants and in Brun's constant.

auillac.inria.fr/algo/bsolve/constant/hrdyltl/hrdyltl.html

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.

numbers.computation.free.fr/Constants/Primes/twin.html

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.

www.secamlocal.ex.ac.uk/~mwatkins/zeta/tutorial.htm