Prime Numbers Number Theory Math

Prime Numbers Number Theory Math

Top: Science: Math: Number Theory: Prime Numbers

Editor's Picks:

- 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.

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.
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]
The Prime Page - Methods and definitions of finding prime numbers.
Entropy and Prime Numbers - Entropy of a nonnegative adjacency matrix related to prime numbers.
The Nine and Ten Primes Project - The discovery of nine and finally ten consecutive primes in arithmetic progression.
Prime Numbers Generator and Checker - Enter a natural number, check it and find the nearest prime.
Patterns in Primes - Examples of mostly digit patterns collected by Harvey Heinz.
The First 5,800,000 Prime Numbers - Site includes known primes k*2^n-1 for k=301 to 999.
Hardy-Littlewood Constants - Infinite series over primes are the main topic in Hadamard-de la Vallée Poussin constants and in Brun's constant.
Thomas R. Nicely - Includes twin prime counts, tables of first occurrence prime gaps, papers.
Natural Numbers - Provides a collection of tools and interesting pages for testing, visualizing, and understanding natural numbers.
Some Prime Numbers - Sieves and factoring for small numbers. Download primes below 8 billion.
Generalized Fermat Prime Search - Software, results and other resources.
Notes and Literature on Prime Numbers - With applets to demonstrate properties of primes.
Prime k-tuplets - Tony Forbes' extensive collection of special types of prime clusters.
Cunningham Chain Records - Sequences of nearly doubled primes, maintained by Dirk Augustin.
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.
Wikipedia: Prime Numbers - Index to many prime-related articles.
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.
Generalized Woodall Numbers - An organized search for primes of the form n*b^n-1.
Visualizing the Distribution of Prime Numbers - Investigation into patterns in the distribution of the primes by visualizing them.
Animation of Eratosthenes' Prime Sieve - An interactive animation of the sieve of Eratosthenes to obtain prime numbers (JavaScript required).
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.
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.
Number Spiral - Explains this method of visually representing the distribution of primes and the relationships between factors and products.
Prime Numbers and Factoring - Links and references related to primes and factoring.
Jens Kruse Andersen - Prime constellation records. Arithmetic progressions, simultaneous primes, prime gaps.
Prime Numbers - Short lesson.
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.
World of Numbers: World of Palindromic Primes - Records, statistics, curios and puzzles about primes reading the same backwards. Compiled by Patrick De Geest.
Gebhard Glöggler - Makes a statement about the number of primes between the squares of odd numbers, and provides a proof of Goldbach's conjecture.
Bertrand's Postulate - International Mathematics Olympiad tutorial proving there is always a prime between n and 2n. [PDF]
Riesel Prime Database - The "Riesel Prime Search" project is searching for primes of the form k·2^n-1, odd k.
MacTutor History of Mathematics: Prime Numbers - Includes biographies on many mathematicians.
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.
The Prime Machine - Explore interactively the Goldbach conjecture, the distribution of prime twins, the prime number theorem.
K-Tuple Permissible Patterns - Findings using an exhaustive search by Thomas J Engelsma.
On-Line Encyclopedia of Integer Sequences (OEIS): Primes - Index to information about many integer sequences involving primes. Site includes numerous other prime-related sequences.
Applets for Prime Numbers - Factorization and weights of Proth coefficients.
The Time Traveler - A group with new propositions in various areas of number theory.
All You Wanted to Know about Primes - Information by Joe McLean. Includes fundamentals, frequency, primality proofs and special types. Many definitions and theorems.
Bipeds and Prime Numbers - Graduation address by former professor of philosophy Garrett Barden. Mentions primes as sign of human curiosity.
MathWorld: Prime Numbers - Index to hundreds of prime-related articles in Eric Weisstein's MathWorld.
Prime Numbers List - Browse all prime numbers of less than 10 digits. A prime number checker facility is also included.
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.

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