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Prime Numbers
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Categories
Goldbach Conjecture (12)
Mersenne (9)
Primality Proving Software (9)
Primality Tests (25)
Related Categories:
    Computers > Computer Science > Distributed Computing > Projects > Cryptography  (15)
    Science > Math > Number Theory > Factoring  (58)
    Science > Math > Recreations > Specific Numbers  (223)

Web Pages
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Animation of Eratosthenes' Prime Sieve http://www.faust.fr.bw.schule.de/mhb/eratosiv.htm
An interactive animation of the sieve of Eratosthenes to obtain prime numbers (JavaScript required).
Applets for Prime Numbers http://www.brennen.net/primes/
Factorization and weights of Proth coefficients.
Are 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.
Ask Dr. Math FAQ: Prime Numbers http://mathforum.org/dr.math/faq/faq.prime.num.html
Archived questions and answers at different levels.
Bipeds 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.
Cunningham Chain Records http://hjem.get2net.dk/jka/math/Cunningham_Chain_records.htm
Sequences of nearly doubled primes, maintained by Dirk Augustin.
Electronic 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.
Entropy and Prime Numbers http://web.tiscali.it/GEB/sfteng.htm
Entropy of a nonnegative adjacency matrix related to prime numbers.
Formulae 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.
Generalized Fermat Prime Search http://pagesperso-orange.fr/yves.gallot/primes/gfn.html
Software, results and other resources.
Generalized Woodall Numbers http://science.kennesaw.edu/~jdemaio/generali.htm
An organized search for primes of the form n*b^n-1.
Hardy-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.
Henri 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.
Introduction 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.
Introductory 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.
Jens Kruse Andersen http://hjem.get2net.dk/jka
Prime constellation records. Arithmetic progressions, simultaneous primes, prime gaps.
K-Tuple Permissible Patterns http://www.opertech.com/primes/k-tuples.html
Findings using an exhaustive search by Thomas J Engelsma.
MacTutor History of Mathematics: Prime Numbers http://www-groups.dcs.st-and.ac.uk/~history/HistTopics/Prime_numbers.html
Includes biographies on many mathematicians.
MathWorld: Prime Numbers http://mathworld.wolfram.com/topics/PrimeNumbers.html
Index to hundreds of prime-related articles in Eric Weisstein's MathWorld.
Notes and Literature on Prime Numbers http://www.math.utah.edu/~alfeld/math/prime.html
With applets to demonstrate properties of primes.
Number Spiral http://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 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.
Patterns in Primes http://www.geocities.com/~harveyh/primes.htm
Examples of mostly digit patterns collected by Harvey Heinz.
Primality 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.
Primality Testing with Fermat's Little Theorem http://www.math.fau.edu/Richman/carm.htm
Test numbers for primality and pseudoprimality in Java.
Prime k-tuplets http://anthony.d.forbes.googlepages.com/ktuplets.htm
Tony Forbes' extensive collection of special types of prime clusters.
Prime Music http://www.xs4all.nl/~limonade/limonades/priem/primemusic.html
A musical piece translating prime factorizations to frequencies. Requires RealPlayer.
Prime Numbers http://odin.mdacc.tmc.edu/~krc/numbers/prime.html
Short lesson.
Prime Numbers and Factoring http://www.ontko.com/~rayo/primes/index.html
Links and references related to primes and factoring.
Prime Numbers List http://www.prime-numbers.org
Browse all prime numbers of less than 10 digits. A prime number checker facility is also included.
Radiant Primes http://www.radiantprimes.com/
Visualization of prime numbers resembling an astronomical radiant or celestial pathway.
Some Prime Numbers http://www.rsok.com/~jrm/printprimes.html
Sieves and factoring for small numbers. Download primes below 8 billion.
Status 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.
The 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.
The Nine and Ten Primes Project http://members.aon.at/toplicm/cp09.html
The discovery of nine and finally ten consecutive primes in arithmetic progression.
The 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.
The Prime Page http://www.fortunecity.com/meltingpot/manchaca/799/prime.html
Methods and definitions of finding prime numbers.
The Prime Pages http://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 http://www.primepuzzles.net/
Carlos Rivera's collection of problems and puzzles related to prime numbers.
The Time Traveler http://www.geocities.com/timeparadox/
A group with new propositions in various areas of number theory.
Thomas R. Nicely http://www.trnicely.net
Includes twin prime counts, tables of first occurrence prime gaps, papers.
Visualizing 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.
Wikipedia: Prime Numbers http://en.wikipedia.org/wiki/Category:Prime_numbers
Index to many prime-related articles.
World 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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