The Prime Pages -  .

The Prime Puzzles & Problems Connection -  .

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.

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.

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.

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.

The First 5,800,000 Prime Numbers - - Site includes known primes k*2^n-1 for k=301 to 999.

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.

The Nine and Ten Primes Project - - The discovery of nine and finally ten consecutive primes in arithmetic progression.

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 - - Introductory text on the theory of prime numbers and number fields. Contains proofs of some important theorems including the fundamental theorem of arithmetic. [PDF.

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.

The Prime Machine - - Explore interactively the Goldbach conjecture, the distribution of prime twins, the prime number theorem.

Prime Music - - A musical piece translating prime factorizations to frequencies. Requires RealPlayer.

Prime Numbers - - Short lesson.

Prime Numbers and Factoring - - This page is a collection of links related to prime numbers and factoring of very large numbers.

Prime Numbers List - - Browse all prime numbers of less than 10 digits. A prime number checker facility is also included.

The Prime Page - - Methods and definitions of finding prime numbers.

Proof of Bertrand's Postulate - - International Mathematics Olympiad tutorial proving there is always a prime between n and 2n. [PDF.

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.

Thomas R. Nicely - - Includes twin prime counts, tables of first occurrence prime gaps, papers.

The Time Traveler - - A group with new propositions in various areas of number theory.

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.

Bipeds and Prime Numbers - - Graduation address by former professor of philosophy Garrett Barden. Mentions primes as sign of human curiosity. (September 18, 2001)