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. |
Ask Dr. Math FAQ: Prime Numbers
Archived questions and answers at different levels. |
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. |
Distribution of the Prime Numbers
Web article by Johan G. van der Galiën showing that the primes do not satisfy certain statistical tests for randomness. |
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. |
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. |
Prime Music
A musical piece translating prime factorizations to frequencies. Requires RealPlayer. |
Prime Numbers
Short lesson. |
Prime Numbers and Factoring
This page is a collection of links related to prime numbers and factoring of very large numbers. |
Prime Numbers List
Browse all prime numbers of less than 10 digits. A prime number checker facility is also included. |
Proof of Bertrand's Postulate
International Mathematics Olympiad tutorial proving there is always a prime between n and 2n. |
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 Distribution of the Primes
Project Report on research into the 2nd Hardy-Littlewood conjecture and the relationship between the primes and chaotic systems by David O'Doherty. Includes program downloads. |
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 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. |
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. |
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