See also:

• Computers: Computer Science: Distributed Computing: Projects: Cryptography  (13)
• Science: Math: Number Theory: Factoring  (44)
• Science: Math: Recreations: Specific Numbers  (171)

The Prime Pages     primes.utm.edu Prime number research, records and resources. Includes largest known primes, finding and proving primes, glossary, curios, links.

The Prime Puzzles & Problems Connection     www.primepuzzles.net Carlos Rivera's collection of problems and puzzles related to prime numbers.

Animation of Eratosthenes' Prime Sieve  www.hbmeyer.de/eratosiv.htm An interactive animation of the sieve of Eratosthenes to obtain prime numbers (JavaScript required).

Applets for Prime Numbers  www.brennen.net/primes Factorization and weights of Proth coefficients.

Are the Prime Numbers Randomly Distributed?  www.members.tele2.nl/galien8/prime/prime.html 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  mathforum.org/dr.math/faq/faq.prime.num.html Archived questions and answers at different levels.

Bertrand's Postulate  www.lacim.uqam.ca:16080/~plouffe/OEIS/archive_in_pdf/Bertrand.pdf International Mathematics Olympiad tutorial proving there is always a prime between n and 2n. [PDF]

Cunningham Chain Records  users.cybercity.dk/~dsl522332/math/Cunningham_Chain_records.htm Sequences of nearly doubled primes, maintained by Dirk Augustin.

Electronic Frontier Foundation: Cooperative Computing Awards  www.eff.org/awards/coop.php Offers $100000, $150000 and $250000 for the first discovery of a prime above 10, 100 and 1000 million digits.

Entropy and Prime Numbers  web.tiscali.it/GEB/sfteng.htm Entropy of a nonnegative adjacency matrix related to prime numbers.

Formulae for Primes  www.bath.ac.uk/~ensab/Primes Includes a formula by Jones, Sato, Wada and Wiens. The set of primes is the set of positive values taken by this expression.

Gebhard Glöggler  www.g-gloeggler.de Makes a statement about the number of primes between the squares of odd numbers, and provides a proof of Goldbach's conjecture.

Generalized Fermat Prime Search  pagesperso-orange.fr/yves.gallot/primes/gfn.html Software, results and other resources.

Generalized Woodall Numbers  science.kennesaw.edu/~jdemaio/generali.htm An organized search for primes of the form n*b^n-1.

Introduction to Twin Primes and Brun's Constant  numbers.computation.free.fr/Constants/Primes/twin.html An article by Pascal Sebah with the results of computation of the twin primes up to 5.10^15.

Introductory Prime Number Theory Resources  www.secamlocal.ex.ac.uk/~mwatkins/zeta/tutorial.htm Notes and links compiled by Mark Watkins on the relation of the Riemann zeta function to the distribution of prime numbers.

Jens Kruse Andersen  users.cybercity.dk/~dsl522332 Prime constellation records. Arithmetic progressions, simultaneous primes, prime gaps.

K-Tuple Permissible Patterns  www.opertech.com/primes/k-tuples.html Findings using an exhaustive search by Thomas J Engelsma.

MacTutor History of Mathematics: Prime Numbers  www-groups.dcs.st-and.ac.uk/~history/HistTopics/Prime_numbers.html Includes biographies on many mathematicians.

MathWorld: Prime Numbers  mathworld.wolfram.com/topics/PrimeNumbers.html Index to hundreds of prime-related articles in Eric Weisstein's MathWorld.

Natural Numbers  www.naturalnumbers.org Provides a collection of tools and interesting pages for testing, visualizing, and understanding natural numbers.

The Nine and Ten Primes Project  members.aon.at/toplicm/cp09.html The discovery of nine and finally ten consecutive primes in arithmetic progression.

Notes and Literature on Prime Numbers  www.math.utah.edu/~alfeld/math/prime.html With applets to demonstrate properties of primes.

Number Spiral  www.numberspiral.com 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  www.research.att.com/~njas/sequences/Sindx_Pri.html Index to information about many integer sequences involving primes. Site includes numerous other prime-related sequences.

Primality  www.maths.tcd.ie/pub/coursework/374/Primality.pdf 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  www.math.fau.edu/Richman/carm.htm Test numbers for primality and pseudoprimality in Java.

Prime Constellation Counting Functions  mwiner.files.wordpress.com/2009/02/primeconstellations.pdf Techniques for counting prime constellations between P(n) and P(n)^2. [PDF]

Prime k-tuplets  anthony.d.forbes.googlepages.com/ktuplets.htm Tony Forbes' extensive collection of special types of prime clusters.

The Prime Machine  www.math.utah.edu/~alfeld/math/machine.html Explore interactively the Goldbach conjecture, the distribution of prime twins, the prime number theorem.

Prime Number Lists  www.mrteverett.com/numbers/primes 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.

Prime Numbers  odin.mdacc.tmc.edu/~krc/numbers/prime.html Short lesson.

Prime Numbers and Factoring  www.ontko.com/~rayo/primes/index.html Links and references related to primes and factoring.

Prime Numbers Generator and Checker  www.numberempire.com/primenumbers.php Enter a natural number, check it and find the nearest prime.

Prime Numbers List  www.prime-numbers.org Browse all prime numbers of less than 10 digits. A prime number checker facility is also included.

The Prime Page  www.fortunecity.com/meltingpot/manchaca/799/prime.html Methods and definitions of finding prime numbers.

Some Prime Numbers  www.rsok.com/~jrm/printprimes.html Sieves and factoring for small numbers. Download primes below 8 billion.

Thomas R. Nicely  www.trnicely.net Includes twin prime counts, tables of first occurrence prime gaps, papers.

Visualizing the Distribution of Prime Numbers  yoyo.cc.monash.edu.au/~bunyip/primes Investigation into patterns in the distribution of the primes by visualizing them.

Wikipedia: Prime Numbers  en.wikipedia.org/wiki/Category:Prime_numbers Index to many prime-related articles.

World of Numbers: World of Palindromic Primes  www.worldofnumbers.com/palpri.htm Records, statistics, curios and puzzles about primes reading the same backwards. Compiled by Patrick De Geest.

Bipeds and Prime Numbers  www.ucc.ie/opa/conferspech/gbarden.html Graduation address by former professor of philosophy Garrett Barden. Mentions primes as sign of human curiosity. (September 18, 2001)