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Prime Numbers

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» 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. » 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] » 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. » 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 - 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 Music - A musical piece translating prime factorizations to frequencies. Requires RealPlayer. » Prime Numbers - Short lesson. » Prime Numbers List - Browse all prime numbers of less than 10 digits. A prime number checker facility is also included. » Prime Numbers and Factoring - Links and references related to primes and factoring. » Prime k-tuplets - Tony Forbes' extensive collection of special types of prime clusters. » 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 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.

Last Updated: 2007-01-21 06:24:07