Prime Numbers

Web Directory : Science : Math : Number Theory : Prime Numbers
  • Goldbach Conjecture@ (12)
  • Mersenne (9)
    		•  
  • Primality Proving Software@ (9)
  • Primality Tests (20)
    • 42 pages found in Prime Numbers:

    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/

    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.
    http://www.home.zonnet.nl/galien8/prime/prime.html

    Ask Dr. Math FAQ: Prime Numbers
    Archived questions and answers at different levels.
    http://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]
    http://www.lacim.uqam.ca:16080/~plouffe/OEIS/archive_in_pdf/Bertrand.pdf

    Cunningham Chain Records
    Sequences of nearly doubled primes, maintained by Dirk Augustin.
    http://hjem.get2net.dk/jka/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

    The First 5,800,000 Prime Numbers
    Site includes known primes k*2^n-1 for k=301 to 999.
    http://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.
    http://www.bath.ac.uk/~ensab/Primes/

    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

    Hardy-Littlewood Constants
    Infinite series over primes are the main topic in Hadamard-de la Vallée Poussin constants and in Brun's constant.
    http://pauillac.inria.fr/algo/bsolve/constant/hrdyltl/hrdyltl.html

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

    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://www.secamlocal.ex.ac.uk/~mwatkins/zeta/tutorial.htm

    Jens Kruse Andersen
    Prime constellation records. Arithmetic progressions, simultaneous primes, prime gaps.
    http://hjem.get2net.dk/jka

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

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

    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/

    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

    Patterns in Primes
    Examples of mostly digit patterns collected by Harvey Heinz.
    http://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]
    http://www.maths.tcd.ie/pub/coursework/374/Primality.pdf

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

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

    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

    Prime Music
    A musical piece translating prime factorizations to frequencies. Requires RealPlayer.
    http://www.xs4all.nl/~limonade/limonades/priem/primemusic.html

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

    Prime Numbers and Factoring
    Links and references related to primes and factoring.
    http://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.
    http://www.prime-numbers.org

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

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

    Status of Search for Multifactorial Primes
    An organized search for primes of the form (n)(n-k)(n-2k)...+/-1. Includes table of numbers searched and primes found.
    http://www.geocities.com/kradenken/mfprimes.html

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

    The Time Traveler
    A group with new propositions in various areas of number theory.
    http://www.geocities.com/timeparadox/

    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

    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

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

    Help build the largest human-edited directory on the web.
      Submit a Site - Open Directory Project - Become an Editor