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 DIRECTORY/Science/Tech/Math/Number Theory/Prime Numbers (73)
i0Animation of Eratosthenes' Prime Sieve - http://www.hbmeyer.de/eratosiv.htm - An interactive animation of the sieve of Eratosthenes to obtain prime numbers (JavaScript required).
 
i0Applets for Prime Numbers - http://www.brennen.net/primes/ - Factorization and weights of Proth coefficients.
 
i0Are the Prime Numbers Randomly Distributed? - http://www.home.zonnet.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.
 
i0Ask Dr. Math FAQ: Prime Numbers - http://mathforum.org/dr.math/faq/faq.prime.num.html - Archived questions and answers at different levels.
 
i0Bertrand's Postulate - http://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.
 
i0Bipeds and Prime Numbers - http://www.ucc.ie/opa/conferspech/gbarden.html - Graduation address by former professor of philosophy Garrett Barden. Mentions primes as sign of human curiosity.
 
i0Cunningham Chain Records - http://hjem.get2net.dk/jka/math/Cunningham_Chain_records.htm - Sequences of nearly doubled primes, maintained by Dirk Augustin.
 
i0Electronic Frontier Foundation: Cooperative Computing Awards - http://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.
 
i0Entropy and Prime Numbers - http://web.tiscali.it/GEB/sfteng.htm - Entropy of a nonnegative adjacency matrix related to prime numbers.
 
i0Formulae for Primes - http://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.
 
i0Generalized Fermat Prime Search - http://pagesperso-orange.fr/yves.gallot/primes/gfn.html - Software, results and other resources.
 
i0Generalized Woodall Numbers - http://science.kennesaw.edu/~jdemaio/generali.htm - An organized search for primes of the form n*b^n-1.
 
i0Hardy-Littlewood Constants - http://pauillac.inria.fr/algo/bsolve/constant/hrdyltl/hrdyltl.html - Infinite series over primes are the main topic in Hadamard-de la Vallée Poussin constants and in Brun's constant.
 
i0Henri Lifchitz - http://ourworld.compuserve.com/homepages/hlifchitz/ - Research in number theory, prime numbers and parity of arithmetic functions. Includes primality testing theorems and prime number chains. In English and French.
 
i0Introduction to Twin Primes and Brun's Constant - http://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.
 
i0Introductory Prime Number Theory Resources - http://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.
 
i0Jens Kruse Andersen - http://hjem.get2net.dk/jka - Prime constellation records. Arithmetic progressions, simultaneous primes, prime gaps.
 
i0K-Tuple Permissible Patterns - http://www.opertech.com/primes/k-tuples.html - Findings using an exhaustive search by Thomas J Engelsma.
 
i0MacTutor History of Mathematics: Prime Numbers - http://www-groups.dcs.st-and.ac.uk/~history/HistTopics/Prime_numbers.html - Includes biographies on many mathematicians.
 
i0MathWorld: Prime Numbers - http://mathworld.wolfram.com/topics/PrimeNumbers.html - Index to hundreds of prime-related articles in Eric Weisstein's MathWorld.
 
i0Notes and Literature on Prime Numbers - http://www.math.utah.edu/~alfeld/math/prime.html - With applets to demonstrate properties of primes.
 
i0Number Spiral - http://www.numberspiral.com/ - Explains this method of visually representing the distribution of primes and the relationships between factors and products.
 
i0On-Line Encyclopedia of Integer Sequences (OEIS): Primes - http://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.
 
i0Patterns in Primes - http://www.geocities.com/~harveyh/primes.htm - Examples of mostly digit patterns collected by Harvey Heinz.
 
i0Primality - http://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.
 
i0Primality Testing with Fermat's Little Theorem - http://www.math.fau.edu/Richman/carm.htm - Test numbers for primality and pseudoprimality in Java.
 
i0Prime Music - http://www.xs4all.nl/~limonade/limonades/priem/primemusic.html - A musical piece translating prime factorizations to frequencies. Requires RealPlayer.
 
i0Prime Numbers - http://odin.mdacc.tmc.edu/~krc/numbers/prime.html - Short lesson.
 
i0Prime Numbers List - http://www.prime-numbers.org - Browse all prime numbers of less than 10 digits. A prime number checker facility is also included.
 
i0Prime Numbers and Factoring - http://www.ontko.com/~rayo/primes/index.html - Links and references related to primes and factoring.
 
i0Prime k-tuplets - http://anthony.d.forbes.googlepages.com/ktuplets.htm - Tony Forbes' extensive collection of special types of prime clusters.
 
i0Some Prime Numbers - http://www.rsok.com/~jrm/printprimes.html - Sieves and factoring for small numbers. Download primes below 8 billion.
 
i0Status of Search for Multifactorial Primes - http://www.geocities.com/kradenken/mfprimes.html - An organized search for primes of the form (n)(n-k)(n-2k)...+/-1. Includes table of numbers searched and primes found.
 
i0The First 5,800,000 Prime Numbers - http://www.geocities.com/primes_r_us/ - Site includes known primes k*2^n-1 for k=301 to 999.
 
i0The Nine and Ten Primes Project - http://members.aon.at/toplicm/cp09.html - The discovery of nine and finally ten consecutive primes in arithmetic progression.
 
i0The Prime Machine - http://www.math.utah.edu/~alfeld/math/machine.html - Explore interactively the Goldbach conjecture, the distribution of prime twins, the prime number theorem.
 
i0The Prime Page - http://www.fortunecity.com/meltingpot/manchaca/799/prime.html - Methods and definitions of finding prime numbers.
 
i0The Prime Pages - http://primes.utm.edu/ - Prime number research, records and resources. Includes largest known primes, finding and proving primes, glossary, curios, links.
 
i0The Prime Puzzles & Problems Connection - http://www.primepuzzles.net/ - Carlos Rivera's collection of problems and puzzles related to prime numbers.
 
i0The Time Traveler - http://www.geocities.com/timeparadox/ - A group with new propositions in various areas of number theory.
 
i0Thomas R. Nicely - http://www.trnicely.net - Includes twin prime counts, tables of first occurrence prime gaps, papers.
 
i0Visualizing the Distribution of Prime Numbers - http://yoyo.cc.monash.edu.au/~bunyip/primes/ - Investigation into patterns in the distribution of the primes by visualizing them.
 
i0Wikipedia: Prime Numbers - http://en.wikipedia.org/wiki/Category:Prime_numbers - Index to many prime-related articles.
 
i0World of Numbers: World of Palindromic Primes - http://www.worldofnumbers.com/palpri.htm - Records, statistics, curios and puzzles about primes reading the same backwards. Compiled by Patrick De Geest.
 
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