See also:

• Computers: Computer Science: Distributed Computing: Projects: Cryptography  (15)
• Science: Math: Number Theory: Factoring  (53)
• Science: Math: Recreations: Specific Numbers  (209)

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.

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 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: - 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.

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)