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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)..

  » Applets for Prime Numbers - Factorization and weights of Proth coefficients..

  » 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..

  » Ask Dr. Math FAQ: Prime Numbers - Archived questions and answers at different levels..

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

  » Cunningham Chain Records - Sequences of nearly doubled primes, maintained by Dirk Augustin..

  » 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 - Includes 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 Recherche - 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 - 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..

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

  » Some Prime Numbers - Sieves and factoring for small numbers. Download primes below 8 billion..

  » Status of Recherche 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).

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