Subdirectories of Prime Numbers:
Categories related to Science: Math: Number Theory: Prime Numbers: Computers: Computer Science: Distributed Computing: Projects: Cryptography (15) Science: Math: Number Theory: Factoring (48) Science: Math: Recreations: Specific Numbers (182) Websites on Prime Numbers: * 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 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. 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)
|
|