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Prime Numbers
Directory > Science > Math > Number_Theory > Prime Numbers
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| Goldbach_Conjecture@ (12) | Mersenne (9) | Primality_Proving_Software@ (9) |
| Primality_Tests (20) |
  Notes and links compiled by Mark Watkins on the relation of the Riemann zeta function to the distribution of prime numbers. |
Index to hundreds of prime-related articles in Eric Weisstein's MathWorld. |
An article by Pascal Sebah with the results of computation of the twin primes up to 5.10^15. |
Index to information about many integer sequences involving primes. Site includes numerous other prime-related sequences. |
Techniques for counting prime constellations between P(n) and P(n)^2. |
Links and references related to primes and factoring. |
Methods and definitions of finding prime numbers. |
Explore interactively the Goldbach conjecture, the distribution of prime twins, the prime number theorem. |
With applets to demonstrate properties of primes. |
Includes a formula by Jones, Sato, Wada and Wiens. The set of primes is the set of positive values taken by this expression. |
Sieves and factoring for small numbers. Download primes below 8 billion. |
Tony Forbes' extensive collection of special types of prime clusters. |
Investigation into patterns in the distribution of the primes by visualizing them. |
Explains this method of visually representing the distribution of primes and the relationships between factors and products. |
Offers $100000, $150000 and $250000 for the first discovery of a prime above 10, 100 and 1000 million digits. |
Short lesson. |
Prime number research, records and resources. Includes largest known primes, finding and proving primes, glossary, curios, links. |
Factorization and weights of Proth coefficients. |
The discovery of nine and finally ten consecutive primes in arithmetic progression. |
Records, statistics, curios and puzzles about primes reading the same backwards. Compiled by Patrick De Geest. |
Sequences of nearly doubled primes, maintained by Dirk Augustin. |
Prime constellation records. Arithmetic progressions, simultaneous primes, prime gaps. |
Test numbers for primality and pseudoprimality in Java. |
Carlos Rivera's collection of problems and puzzles related to prime numbers. |
Archived questions and answers at different levels. |
Infinite series over primes are the main topic in Hadamard-de la Vallée Poussin constants and in Brun's constant. |
Findings using an exhaustive search by Thomas J Engelsma. |
Browse all prime numbers of less than 10 digits. A prime number checker facility is also included. |
Includes twin prime counts, tables of first occurrence prime gaps, papers. |
Entropy of a nonnegative adjacency matrix related to prime numbers. |
An organized search for primes of the form n*b^n-1. |
Index to many prime-related articles. |
Introductory text on the theory of prime numbers and number fields. Contains proofs of some important theorems including the fundamental theorem of arithmetic. |
Graduation address by former professor of philosophy Garrett Barden. Mentions primes as sign of human curiosity. |
Makes a statement about the number of primes between the squares of odd numbers, and provides a proof of Goldbach's conjecture. |
Web article by Johan G. van der Galiën. Shows that smaller starting digits are more common for primes below 10^9. |
Enter a natural number, check it and find the nearest prime. |
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. |
Includes biographies on many mathematicians. |
Software, results and other resources. |
An interactive animation of the sieve of Eratosthenes to obtain prime numbers (JavaScript required). |
International Mathematics Olympiad tutorial proving there is always a prime between n and 2n. |
Provides a collection of tools and interesting pages for testing, visualizing, and understanding natural numbers. |
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