| 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. |
Classical
