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.
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).
Applets for Prime Numbers: Factorization and weights of Proth coefficients.
Ask Dr. Math FAQ: Prime Numbers: Archived questions and answers at different levels.
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 Fermat Prime Search: Software, results and other resources.
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.
K-Tuple Permissible Patterns: Findings using an exhaustive search by Thomas J Engelsma.
MacTutor History of Mathematics: Prime Numbers: Includes biographies on many mathematicians.
MathWorld: Prime Numbers: Index to hundreds of prime-related articles in Eric Weisstein's MathWorld.
Notes and Literature on Prime Numbers: With applets to demonstrate properties of primes.
Number Spiral: Explains this method of visually representing the distribution of primes and the relationships between factors and products.
On-Line Encyclopedia of Integer Sequences (OEIS): Primes: Index to information about many integer sequences involving primes. Site includes numerous other prime-related sequences.
Patterns in Primes: Examples of mostly digit patterns collected by Harvey Heinz.
Primality Testing with Fermat's Little Theorem: Test numbers for primality and pseudoprimality in Java.
Prime k-tuplets: Tony Forbes' extensive collection of special types of prime clusters.
Prime Music: A musical piece translating prime factorizations to frequencies. Requires RealPlayer.
Prime Numbers: Short lesson.
Prime Numbers and Factoring: Links and references related to primes and factoring.
Prime Numbers List: Browse all prime numbers of less than 10 digits. A prime number checker facility is also included.
Radiant Primes: Visualization of prime numbers resembling an astronomical radiant or celestial pathway.
Some Prime Numbers: Sieves and factoring for small numbers. Download primes below 8 billion.
Status of Search for Multifactorial Primes: An organized search for primes of the form (n)(n-k)(n-2k)...+/-1. Includes table of numbers searched and primes found.
The Distribution of the Primes: Project Report on research into the 2nd Hardy-Littlewood conjecture and the relationship between the primes and chaotic systems by David O'Doherty. Includes program downloads.
The First 5,800,000 Prime Numbers: Site includes known primes k*2^n-1 for k=301 to 999.
The Nine and Ten Primes Project: The discovery of nine and finally ten consecutive primes in arithmetic progression.
The Prime Machine: Explore interactively the Goldbach conjecture, the distribution of prime twins, the prime number theorem.
The Prime Page: Methods and definitions of finding prime numbers.
The Time Traveler: A group with new propositions in various areas of number theory.
Thomas R. Nicely: Includes twin prime counts, tables of first occurrence prime gaps, papers.
Visualizing the Distribution of Prime Numbers: Investigation into patterns in the distribution of the primes by visualizing them.
Wikipedia: Prime Numbers: Index to many prime-related articles.
World of Numbers: World of Palindromic Primes: Records, statistics, curios and puzzles about primes reading the same backwards. Compiled by Patrick De Geest.