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ABC HOME: Top: Science: Math: Number_Theory: Prime_Numbers:

Prime Numbers (106)

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http://www.utm.edu/research/primes/
The Prime Page (An Index of Information on Prime Numbers) Open in a new browser windowEditor's Pick
   The prime source for information about prime numbers!
   http://www.utm.edu/research/primes/
http://www.primepuzzles.net/
The Prime Puzzles & Problems Connection Open in a new browser windowEditor's Pick
   Carlos Rivera's collection of problems and puzzles related to prime numbers.
   http://www.primepuzzles.net/

Web Sites In this Category:

Prime Numbers and Factoring Open in a new browser window  
   This page is a collection of links related to prime numbers and factoring of very large numbers.
   http://www.ontko.com/~rayo/primes/index.html
Prime k-tuplets Open in a new browser window  
   Tony Forbes' extensive collection of special types of prime clusters.
   http://www.ltkz.demon.co.uk/ktuplets.htm
The Prime Page Open in a new browser window  
   Methods and definitions of finding prime numbers.
   http://www.fortunecity.com/meltingpot/manchaca/799/prime.html
Aesthetics of the Prime Numbers Sequence Open in a new browser window  
   Prime visualizations (both visual and auditory), applets, message board, links.
   http://www.2357.a-tu.net/
Proof of Bertrand's Postulate Open in a new browser window  
   International Mathematics Olympiad tutorial proving the theorem of Chebyshef that there is a prime between n and 2n for all positive integers n > 1.
   http://matholymp.com/TUTORIALS/Bertrand.pdf
Dr. Nicely's Home Page Open in a new browser window  
   Twin primes and Brun's number up to 10^14.
   http://www.trnicely.net/index.html
Introductory Prime Number Theory Resources Open in a new browser window  
   Notes and links compiled by Mark Watkins on the relation of the Riemann zeta function to the distribution of prime numbers.
   http://www.maths.ex.ac.uk/~mwatkins/zeta/tutorial.htm
Prime Constellations Open in a new browser window  
   Description of prime k-tuples, the first Hardy-Littlewood conjecture and the Hardy-Littlewood constants.
   http://mathworld.wolfram.com/PrimeConstellation.html
Formulae for Determining Primality or Compositeness Open in a new browser window  
   This is a method to produce formulas of various complexities with real coeffecients whose itereation indicate whether a given integer is prime or composite.
   http://www.mathematical.com/mathprimetest.html
Primality Testing with Fermat's Little Theorem Open in a new browser window  
   Test numbers for primality and pseudoprimality in Java.
   http://www.math.fau.edu/Richman/carm.htm
Elliptic Curve Primality Proving Algorithm Open in a new browser window  
   The ECPP is a modern method of primality proving that does not require auxiliary factorizations. Instead, ECPP uses the sizes of groups of rational points on elliptic curves modulo n.
   http://www.utm.edu/research/primes/glossary/ECPP.html
Random Small Primes Open in a new browser window  
   A site which gives some random primes up to 300 digits and more , also gives related information on primes.
   http://www.utm.edu/research/primes/lists/small/small.html
Testing for Primality Open in a new browser window  
   Since ancient times, mathematicians have been fascinated by problems concerning prime numbers, and many people have worked on the problem of determining ways to test if numbers are prime. One way to test if a number is prime is to find the number's divis
   http://www-mitpress.mit.edu/sicp/chapter1/node17.html
The Prime Glossary Open in a new browser window  
   The award wining Prime Glossary has over 150 pages of definitions and terms related to prime numbers and factoring.
   http://www.utm.edu/research/primes/glossary/
Notes and Literature on Prime Numbers Open in a new browser window  
   With applets to demonstrate properties of primes.
   http://www.math.utah.edu/%7Ealfeld/math/prime.html
Tables of Prime Numbers Open in a new browser window  
   Lists of prime numbers to download in plain ASCII or MS-Excel format.
   http://www.svobodat.com/primes/
Entropy and Prime Numbers Open in a new browser window  
   Entropy of a nonnegative adjacency matrix related to prime numbers.
   http://web.tiscali.it/GEB/sfteng.htm
Formulae for Primes Open in a new browser window  
   The formula of 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/
A List of Prime Numbers Open in a new browser window  
   All of the prime numbers less than 2000000000.
   http://www.rsok.com/~jrm/printprimes.html
Prime Numbers History Open in a new browser window  
   Historical topics about prime numbers.
   http://www-groups.dcs.st-and.ac.uk/~history/HistTopics/Prime_numbers.html
Pseudoprimes/Probable Primes Open in a new browser window  
   Recent developments in primality testing. Here are slides of Jon Grantham's talk on this subject.
   http://www.pseudoprime.com/pseudo.html
Prime Number Records Open in a new browser window  
   By Paul Zimmermann.
   http://www.loria.fr/~zimmerma/records/primes.html
The New Book of Prime Number Records, Additions and Errata Open in a new browser window  
   Paulo Ribenboim has named this the "official" site for the collections of typos and errata from his text.
   http://www.utm.edu/research/primes/notes/errata/
The Time Traveler Open in a new browser window  
   A group with new propositions in various areas of number theory.
   http://www.geocities.com/timeparadox/
Applets for Prime Numbers Open in a new browser window  
   Factorization and weights of Proth coefficients.
   http://www.brennen.net/primes/
Patterns in Primes Open in a new browser window  
   Examples of digital patterns in prime numbers collected by Harvey Heinz.
   http://www.geocities.com/~harveyh/primes.htm
Visualizing the Distribution of Prime Numbers Open in a new browser window  
   Investigation into patterns in the distribution of the primes by visualizing them.
   http://yoyo.cc.monash.edu.au/~bunyip/primes/
Generalized Fermat Prime Search Open in a new browser window  
   Software, results and other resources.
   http://perso.wanadoo.fr/yves.gallot/primes/gfn.html
Searching for Primes Open in a new browser window  
   Illustrated Hypography article on how prime numbers are found, with reviewed links to prime number information.
   http://www.hypography.com/topics/searchingforprimes.cfm
Ask Dr. Math Open in a new browser window  
   What is a prime number? How can you find prime numbers? What's the 'Sieve of Eratosthenes'? What's the largest known prime?
   http://mathforum.org/dr.math/faq/faq.prime.num.html
World of Palindromic Primes Open in a new browser window  
   Records, statistics, and other interesting facts about palindromic primes compiled by Patrick De Geest.
   http://www.worldofnumbers.com/palpri.htm
Introduction to Twin Primes and Brun's Constant Open in a new browser window  
   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
World Records in Computational Number Theory Open in a new browser window  
   Record list for twin and Sophie Germaine primes.
   http://compalg.inf.elte.hu/~ajarai/worldr.htm
Deficient Factorials Open in a new browser window  
   A summary of all known searches for primes of the form n!/k+-1 (with k>1), n!/k!+-1 (k>3) and n!/n#+-1.
   http://www.denhulster.nl/primeform/deffac.html
Generalized Woodall Numbers Open in a new browser window  
   An organized search for primes of the form n*b^n-1.
   http://science.kennesaw.edu/~jdemaio/generali.htm
Henri Lifchitz Open in a new browser window  
   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/
Hardy-Littlewood Constants Open in a new browser window  
   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
Prime Number Generation Open in a new browser window  
   Notes on primality tests by Anuj Seth.
   http://www.anujseth.com/crypto/
PRIMES is in P. Open in a new browser window  
   A paper by Manindra Agrawal, Neeraj Kayal, Nitin Saxena that presents a polynomal-time algorithm that determines whether an input number n is prime or composite [PS].
   http://www.cse.iitk.ac.in/users/manindra/
Largest Known Primes Open in a new browser window  
   Searchable database of these numbers. Lists largest primes by type and who discovered them.
   http://www.utm.edu/research/primes/largest.html
Distribution of the Prime Numbers Open in a new browser window  
   Web article by Johan G. van der Galiën showing that the primes do not satisfy certain statistical tests for randomness.
   http://www.home.zonnet.nl/galien8/prime/prime.html
Twin Primes Open in a new browser window  
   A computation of the number up to 10^14, by Jörg Richstein.
   http://www.informatik.uni-giessen.de/staff/richstein/res/tp-en.html
The Nine and Ten Primes Project Open in a new browser window  
   The discovery of nine and finally ten consecutive primes in arithmetic progression.
   http://members.aon.at/toplicm/cp09.html
Primes of the Form K * 2^N -1 Open in a new browser window  
   Tables for K=300 to 999.
   http://www.geocities.com/primes_r_us/riesel/prime300.html
Multifactorial Primes Open in a new browser window  
   An organized search for primes of the form n!!!...!!!! +/-1. Includes table of numbers searched and primes found.
   http://www.geocities.com/kraden/mfprimes.html
Radiant Primes Open in a new browser window  
   Visualization of prime numbers resembling an astronomical radiant or celestial pathway.
   http://www.radiantprimes.com/
Wieferich Prime Number Search Open in a new browser window  
   A coordinated project extending the list of Wieferich primes to 10^15.
   http://torch.cs.dal.ca/~knauer/wieferich/
The Largest Known CPAP's Open in a new browser window  
   The top 10 k consecutive primes in arithmetic progression for each k.
   http://hjem.get2net.dk/jka/math/cpap.htm
Prime Numbers Open in a new browser window  
   Short lesson.
   http://odin.mdacc.tmc.edu/~krc/numbers/prime.html
EFF Cooperative Computing Awards Open in a new browser window  
   Between $100,000 and $250,000 will go to the first individual or group who discovers a new prime number above 10 million digits.
   http://www.eff.org/awards/coop.html
New Primality Record Open in a new browser window  
   E. Mayer and F. Morain announce that (2^7331-1)/458072843161 is prime. This number has 2196 decimal digits.
   http://www.lix.polytechnique.fr/~morain/Primes/MC7331.english.html
The Distribution of the Primes Open in a new browser window  
   Project Report on research into the 2nd Hardy-Littlewood conjecture and the relationship between the primes and chaotic systems by David O'Doherty. Includes program downloads.
   http://www.srcf.ucam.org/~dmo25/Primes
Animation of Eratosthenes' Prime Sieve Open in a new browser window  
   An interactive animation of the sieve of Eratosthenes to obtain prime numbers (JavaScript required).
   http://www.faust.fr.bw.schule.de/mhb/eratosiv.htm
Prime Numbers List Open in a new browser window  
   Browse all prime numbers of less than 10 digits. A prime number checker facility is also included.
   http://www.prime-numbers.org
K-Tuples Open in a new browser window  
   Findings using an exhaustive search by Thomas J Engelsma.
   http://www.opertech.com/primes/k-tuples.html
The Prime Machine Open in a new browser window  
   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 Open in a new browser window  
   A musical pieve based on the sieve of Eratosthenes. Requires Realplayer.
   http://www.xs4all.nl/~limonade/limonades/priem/primemusic.html
Number Spiral Open in a new browser window  
   Explains this method of visually representing the distribution of primes and the relationships between factors and products.
   http://www.numberspiral.com/
The Top-20 Prime Gaps Open in a new browser window  
   The largest known prime gaps measured by absolute or relative size, or a combination.
   http://hjem.get2net.dk/jka/math/primegaps/gaps20.htm
Bipeds and Prime Numbers Open in a new browser window  
   Address by Professor Garrett Barden.
   http://www.ucc.ie/opa/conferspech/gbarden.html
Randomness and Prime Twin Proof Open in a new browser window  
   A proof is offered by Martin Winer for the prime twin problem by defining randomness for a binary sequence.
   http://members.rogers.com/mwiner/primes.htm
Cunningham Chain Records Open in a new browser window  
   Sequences of nearly doubled primes, maintained by Dirk Augustin.
   http://hjem.get2net.dk/jka/math/Cunningham_Chain_records.htm
Prime Numbers Directory Open in a new browser window  
   A compilation of links related to prime numbers including primality tests, lists of prime numbers, factoring, Mersenne numbers and the Goldbach conjecture.
   http://cochise.mta.ac.il:8080/~liorb/servlet/Categories
Prime Number Resources and Information Open in a new browser window  
   Maintained bt the Electronic Frontier Foundation.
   http://www.eff.org/awards/prime-info.html
Large Primes in Arithmetic Progression Open in a new browser window  
   A repository maintained by Warut Roonguthai. One project is a search for six titanic primes in arithmetic progression.
   http://ksc9.th.com/warut/ap/
Basic Theorems Concerning Prime Numbers Open in a new browser window  
   An introductory page on the theory of prime numbers with proofs of some important theorems including the infinitude of primes, Euclid's algorithm and the fundamental theorem of arithmetic.
   http://www.maths.tcd.ie/pub/coursework/374/Primality.pdf

Last Updated: 2005-02-03 23:11:53


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