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Encyclopaedia search for Prime Numbers
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 Computers: Computer Science: Distributed Computing: Projects: Cryptography - 15 sites
Science: Math: Number Theory: Factoring - 48 sites
Science: Math: Recreations: Specific Numbers - 182 sites
Prime Numbers - Web Sites
 The Prime Pages 
Prime number research, records and resources. Includes largest known primes, finding and proving primes, glossary, curios, links.
url: primes.utm.edu/
The Prime Puzzles & Problems Connection
Carlos Rivera's collection of problems and puzzles related to prime numbers.
url: www.primepuzzles.net/
Animation of Eratosthenes' Prime Sieve
An interactive animation of the sieve of Eratosthenes to obtain prime numbers (JavaScript required).
url: www.hbmeyer.de/eratosiv.htm
Applets for Prime Numbers
Factorization and weights of Proth coefficients.
url: www.brennen.net/primes/
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.
url: www.home.zonnet.nl/galien8/prime/prime.html
Ask Dr. Math FAQ: Prime Numbers
Archived questions and answers at different levels.
url: mathforum.org/dr.math/faq/faq.prime.num.html
Bertrand's Postulate
International Mathematics Olympiad tutorial proving there is always a prime between n and 2n. [PDF]
url: www.lacim.uqam.ca:16080/~plouffe/OEIS/archive_in_p....
Cunningham Chain Records
Sequences of nearly doubled primes, maintained by Dirk Augustin.
url: hjem.get2net.dk/jka/math/Cunningham_Chain_records.....
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.
url: www.eff.org/awards/coop.php
Entropy and Prime Numbers
Entropy of a nonnegative adjacency matrix related to prime numbers.
url: web.tiscali.it/GEB/sfteng.htm
The First 5,800,000 Prime Numbers
Site includes known primes k*2^n1 for k=301 to 999.
url: www.geocities.com/primes_r_us/
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.
url: www.bath.ac.uk/~ensab/Primes/
Generalized Fermat Prime Search
Software, results and other resources.
url: pagesperso-orange.fr/yves.gallot/primes/gfn.html
Generalized Woodall Numbers
An organized search for primes of the form n*b^n1.
url: science.kennesaw.edu/~jdemaio/generali.htm
Hardy-Littlewood Constants
Infinite series over primes are the main topic in Hadamardde la Vallée Poussin constants and in Brun's constant.
url: pauillac.inria.fr/algo/bsolve/constant/hrdyltl/hrd....
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.
url: ourworld.compuserve.com/homepages/hlifchitz/
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.
url: numbers.computation.free.fr/Constants/Primes/twin.....
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.
url: www.secamlocal.ex.ac.uk/~mwatkins/zeta/tutorial.ht....
Jens Kruse Andersen
Prime constellation records. Arithmetic progressions, simultaneous primes, prime gaps.
url: hjem.get2net.dk/jka
K-Tuple Permissible Patterns
Findings using an exhaustive search by Thomas J Engelsma.
url: www.opertech.com/primes/k-tuples.html
MacTutor History of Mathematics: Prime Numbers
Includes biographies on many mathematicians.
url: www-groups.dcs.st-and.ac.uk/~history/HistTopics/Pr....
MathWorld: Prime Numbers
Index to hundreds of primerelated articles in Eric Weisstein's MathWorld.
url: mathworld.wolfram.com/topics/PrimeNumbers.html
The Nine and Ten Primes Project
The discovery of nine and finally ten consecutive primes in arithmetic progression.
url: members.aon.at/toplicm/cp09.html
Notes and Literature on Prime Numbers
With applets to demonstrate properties of primes.
url: www.math.utah.edu/~alfeld/math/prime.html
Number Spiral
Explains this method of visually representing the distribution of primes and the relationships between factors and products.
url: www.numberspiral.com/
On-Line Encyclopedia of Integer Sequences (OEIS): Primes
Index to information about many integer sequences involving primes. Site includes numerous other primerelated sequences.
url: www.research.att.com/~njas/sequences/Sindx_Pri.htm....
Patterns in Primes
Examples of mostly digit patterns collected by Harvey Heinz.
url: www.geocities.com/~harveyh/primes.htm
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]
url: www.maths.tcd.ie/pub/coursework/374/Primality.pdf
Primality Testing with Fermat's Little Theorem
Test numbers for primality and pseudoprimality in Java.
url: www.math.fau.edu/Richman/carm.htm
Prime k-tuplets
Tony Forbes' extensive collection of special types of prime clusters.
url: anthony.d.forbes.googlepages.com/ktuplets.htm
The Prime Machine
Explore interactively the Goldbach conjecture, the distribution of prime twins, the prime number theorem.
url: www.math.utah.edu/~alfeld/math/machine.html
Prime Music
A musical piece translating prime factorizations to frequencies. Requires RealPlayer.
url: www.xs4all.nl/~limonade/limonades/priem/primemusic....
Prime Numbers
Short lesson.
url: odin.mdacc.tmc.edu/~krc/numbers/prime.html
Prime Numbers and Factoring
Links and references related to primes and factoring.
url: www.ontko.com/~rayo/primes/index.html
Prime Numbers List
Browse all prime numbers of less than 10 digits. A prime number checker facility is also included.
url: www.prime-numbers.org
The Prime Page
Methods and definitions of finding prime numbers.
url: www.fortunecity.com/meltingpot/manchaca/799/prime.....
Some Prime Numbers
Sieves and factoring for small numbers. Download primes below 8 billion.
url: www.rsok.com/~jrm/printprimes.html
Status of Search for Multifactorial Primes
An organized search for primes of the form (n)(nk)(n2k)...+/1. Includes table of numbers searched and primes found.
url: www.geocities.com/kradenken/mfprimes.html
Thomas R. Nicely
Includes twin prime counts, tables of first occurrence prime gaps, papers.
url: www.trnicely.net
The Time Traveler
A group with new propositions in various areas of number theory.
url: www.geocities.com/timeparadox/
Visualizing the Distribution of Prime Numbers
Investigation into patterns in the distribution of the primes by visualizing them.
url: yoyo.cc.monash.edu.au/~bunyip/primes/
Wikipedia: Prime Numbers
Index to many primerelated articles.
url: en.wikipedia.org/wiki/Category:Prime_numbers
World of Numbers: World of Palindromic Primes
Records, statistics, curios and puzzles about primes reading the same backwards. Compiled by Patrick De Geest.
url: www.worldofnumbers.com/palpri.htm
Bipeds and Prime Numbers
Graduation address by former professor of philosophy Garrett Barden. Mentions primes as sign of human curiosity. (September 18, 2001)
url: www.ucc.ie/opa/conferspech/gbarden.html
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