Open Directory - Science: Math: Number Theory: Prime Numbers
See also: This category in other languages: - Prime number research, records and resources. Includes largest known primes, finding and proving primes, glossary, curios, links. - Carlos Rivera's collection of problems and puzzles related to prime numbers. - An interactive animation of the sieve of Eratosthenes to obtain prime numbers (JavaScript required). - Factorization and weights of Proth coefficients. - Web article by Johan G. van der Galiën. Shows that smaller starting digits are more common for primes below 10^9. - Archived questions and answers at different levels. - Entropy of a nonnegative adjacency matrix related to prime numbers. - Includes a formula by Jones, Sato, Wada and Wiens. The set of primes is the set of positive values taken by this expression. - Makes a statement about the number of primes between the squares of odd numbers, and provides a proof of Goldbach's conjecture. - Software, results and other resources. - An organized search for primes of the form n*b^n-1. - An article by Pascal Sebah with the results of computation of the twin primes up to 5.10^15. - Notes and links compiled by Mark Watkins on the relation of the Riemann zeta function to the distribution of prime numbers. - Findings using an exhaustive search by Thomas J Engelsma. - Includes biographies on many mathematicians. - Index to hundreds of prime-related articles in Eric Weisstein's MathWorld. - Provides a collection of tools and interesting pages for testing, visualizing, and understanding natural numbers. - With applets to demonstrate properties of primes. - Explains this method of visually representing the distribution of primes and the relationships between factors and products. - Index to information about many integer sequences involving primes. Site includes numerous other prime-related sequences. - Introductory text on the theory of prime numbers and number fields. Contains proofs of some important theorems including the fundamental theorem of arithmetic. [PDF] - Test numbers for primality and pseudoprimality in Java. - Downloads of over 100 million prime numbers. Each link contains 1 million primes in a .7z file. A special link allows for downloads of all primes at once. - Enter a natural number, check it and find the nearest prime. - Browse all prime numbers of less than 10 digits. A prime number checker facility is also included. - Links and references related to primes and factoring. - Tony Forbes' extensive collection of special types of prime clusters. - Sieves and factoring for small numbers. Download primes below 8 billion. - The discovery of nine and finally ten consecutive primes in arithmetic progression. - Explore interactively the Goldbach conjecture, the distribution of prime twins, the prime number theorem. - Includes twin prime counts, tables of first occurrence prime gaps, papers. - Investigation into patterns in the distribution of the primes by visualizing them. - Index to many prime-related articles. - Records, statistics, curios and puzzles about primes reading the same backwards. Compiled by Patrick De Geest.
