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Primality Testing with Fermat's Little Theorem
Test numbers for primality and pseudoprimality in Java.
http://www.math.fau.edu/Richman/carm.htm
Prime Numbers List
Browse all prime numbers of less than 10 digits. A prime number checker facility is also included.
http://www.prime-numbers.org
MathWorld: Prime Numbers
Index to hundreds of prime-related articles in Eric Weisstein's MathWorld.
http://mathworld.wolfram.com/topics/PrimeN...
Cunningham Chain Records
Sequences of nearly doubled primes, maintained by Dirk Augustin.
http://hjem.get2net.dk/jka/math/Cunningham...
Visualizing the Distribution of Prime Numbers
Investigation into patterns in the distribution of the primes by visualizing them.
http://yoyo.cc.monash.edu.au/~bunyip/prime...
Patterns in Primes
Examples of mostly digit patterns collected by Harvey Heinz.
http://www.geocities.com/~harveyh/primes.h...
Generalized Fermat Prime Search
Software, results and other resources.
http://perso.orange.fr/yves.gallot/primes/...
Prime k-tuplets
Tony Forbes' extensive collection of special types of prime clusters.
http://www.ltkz.demon.co.uk/ktuplets.htm
Hardy-Littlewood Constants
Infinite series over primes are the main topic in Hadamard-de la Vallée Poussin constants and in Brun's constant.
http://pauillac.inria.fr/algo/bsolve/const...
The Prime Page
Methods and definitions of finding prime numbers.
http://www.fortunecity.com/meltingpot/manc...
Prime Music
A musical piece translating prime factorizations to frequencies. Requires RealPlayer.
http://www.xs4all.nl/~limonade/limonades/p...
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.
http://ourworld.compuserve.com/homepages/h...
The Nine and Ten Primes Project
The discovery of nine and finally ten consecutive primes in arithmetic progression.
http://members.aon.at/toplicm/cp09.html
Prime Numbers and Factoring
This page is a collection of links related to prime numbers and factoring of very large numbers.
http://www.ontko.com/~rayo/primes/index.ht...
Radiant Primes
Visualization of prime numbers resembling an astronomical radiant or celestial pathway.
http://www.radiantprimes.com/
Some Prime Numbers
Sieves and factoring for small numbers. Download primes below 8 billion.
http://www.rsok.com/~jrm/printprimes.html
Thomas R. Nicely
Includes twin prime counts, tables of first occurrence prime gaps, papers.
http://www.trnicely.net
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.
http://www.maths.ex.ac.uk/~mwatkins/zeta/t...
On-Line Encyclopedia of Integer Sequences (OEIS): Primes
Index to information about many integer sequences involving primes. Site includes numerous other prime-related sequences.
http://www.research.att.com/~njas/sequence...
All You Wanted to Know about Primes
Information by Joe McLean. Includes fundamentals, frequency, primality proofs and special types. Many definitions and theorems.
http://www.glasgowg43.freeserve.co.uk/prim...
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.
http://www.eff.org/awards/coop.php
Jens Kruse Andersen
Prime constellation records. Arithmetic progressions, simultaneous primes, prime gaps.
http://hjem.get2net.dk/jka
World of Numbers: World of Palindromic Primes
Records, statistics, curios and puzzles about primes reading the same backwards. Compiled by Patrick De Geest.
http://www.worldofnumbers.com/palpri.htm
Wikipedia: Prime Numbers
Index to many prime-related articles.
http://en.wikipedia.org/wiki/Category:Prim...
The Prime Machine
Explore interactively the Goldbach conjecture, the distribution of prime twins, the prime number theorem.
http://www.math.utah.edu/~alfeld/math/mach...
Animation of Eratosthenes' Prime Sieve
An interactive animation of the sieve of Eratosthenes to obtain prime numbers (JavaScript required).
http://www.faust.fr.bw.schule.de/mhb/erato...
Prime Numbers
Short lesson.
http://odin.mdacc.tmc.edu/~krc/numbers/pri...
Bipeds and Prime Numbers
Graduation address by former professor of philosophy Garrett Barden. Mentions primes as sign of human curiosity.
http://www.ucc.ie/opa/conferspech/gbarden....
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.
http://www.srcf.ucam.org/~dmo25/Primes
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.
http://numbers.computation.free.fr/Constan...
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.
http://www.denhulster.nl/primeform/deffac....
K-Tuple Permissible Patterns
Findings using an exhaustive search by Thomas J Engelsma.
http://www.opertech.com/primes/k-tuples.ht...
Applets for Prime Numbers
Factorization and weights of Proth coefficients.
http://www.brennen.net/primes/
Entropy and Prime Numbers
Entropy of a nonnegative adjacency matrix related to prime numbers.
http://web.tiscali.it/GEB/sfteng.htm
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.
http://www.geocities.com/kradenken/mfprime...
Notes and Literature on Prime Numbers
With applets to demonstrate properties of primes.
http://www.math.utah.edu/~alfeld/math/prim...
Ask Dr. Math FAQ: Prime Numbers
Archived questions and answers at different levels.
http://mathforum.org/dr.math/faq/faq.prime...
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.
http://www.home.zonnet.nl/galien8/prime/pr...
The First 5,800,000 Prime Numbers
Site includes known primes k*2^n-1 for k=301 to 999.
http://www.geocities.com/primes_r_us/
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.
http://www.bath.ac.uk/~ensab/Primes/
The Time Traveler
A group with new propositions in various areas of number theory.
http://www.geocities.com/timeparadox/
Number Spiral
Explains this method of visually representing the distribution of primes and the relationships between factors and products.
http://www.numberspiral.com/
MacTutor History of Mathematics: Prime Numbers
Includes biographies on many mathematicians.
http://www-groups.dcs.st-and.ac.uk/~histor...
Generalized Woodall Numbers
An organized search for primes of the form n*b^n-1.
http://science.kennesaw.edu/~jdemaio/gener...
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2006