AllMusicSearch Music Directory : Science : Math : Number_Theory : Prime

Prime number research, records and resources. Includes largest known primes, finding and proving primes, glossary, curios, links.
http://primes.utm.edu/

» The Prime Puzzles & Problems Connection Editor's Pick

Carlos Rivera's collection of problems and puzzles related to prime numbers.
http://www.primepuzzles.net/

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

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

http://www.members.tele2.nl/galien8/prime/prime.html

» Are the Prime Numbers Randomly Distributed?
Web article by Johan G. van der GaliÃ«n. Shows that smaller starting digits are more common for primes below 10^9.
http://www.members.tele2.nl/galien8/prime/prime.html

$http://mathforum.org/dr.math/faq/faq.prime.num.html$

» Ask Dr. Math FAQ: Prime Numbers
Archived questions and answers at different levels.
http://mathforum.org/dr.math/faq/faq.prime.num.html

http://www.lacim.uqam.ca:16080/~plouffe/OEIS/archive_in_pdf/Bertrand.pdf

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

http://www.ucc.ie/opa/conferspech/gbarden.html

» 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.html

$http://users.cybercity.dk/~dsl522332/math/Cunningham_Chain_records.htm$

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

» 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

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

» 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.
http://www.bath.ac.uk/~ensab/Primes/

» Gebhard GlÃ¶ggler
Makes a statement about the number of primes between the squares of odd numbers, and provides a proof of Goldbach's conjecture.
http://www.g-gloeggler.de

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

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

http://numbers.computation.free.fr/Constants/Primes/twin.html

» 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/Constants/Primes/twin.html

http://empslocal.ex.ac.uk/people/staff/mrwatkin/zeta/tutorial.htm

» 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://empslocal.ex.ac.uk/people/staff/mrwatkin/zeta/tutorial.htm

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

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

http://www-groups.dcs.st-and.ac.uk/~history/HistTopics/Prime_numbers.html

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

http://mathworld.wolfram.com/topics/PrimeNumbers.html

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

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

$http://www.math.utah.edu/~alfeld/math/prime.html$

» Notes and Literature on Prime Numbers
With applets to demonstrate properties of primes.
http://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.
http://www.numberspiral.com/

http://www.research.att.com/~njas/sequences/Sindx_Pri.html

» 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/sequences/Sindx_Pri.html

http://www.maths.tcd.ie/pub/coursework/374/Primality.pdf

» Primality
Introductory text on the theory of prime numbers and number fields. Contains proofs of some important theorems including the fundamental theorem of arithmetic.
http://www.maths.tcd.ie/pub/coursework/374/Primality.pdf

$http://www.math.fau.edu/Richman/carm.htm$

» Primality Testing with Fermat's Little Theorem
Test numbers for primality and pseudoprimality in Java.
http://www.math.fau.edu/Richman/carm.htm

http://mwiner.files.wordpress.com/2009/02/primeconstellations.pdf

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

http://www.mrteverett.com/numbers/primes/

» Prime Number Lists
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.
http://www.mrteverett.com/numbers/primes/

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

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

» 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

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

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

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

» 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

$http://www.math.utah.edu/~alfeld/math/machine.html$

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

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

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

http://yoyo.cc.monash.edu.au/~bunyip/primes/

» 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/primes/

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

http://www.worldofnumbers.com/palpri.htm

» 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

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