 Directory of Prime Numbers Resources

Resources in This Category

• Animation of Eratosthenes' Prime Sieve

http://www.hbmeyer.de/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.members.tele2.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.

• Entropy and Prime Numbers

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

• Gebhard Glöggler

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

• 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.

• 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://empslocal.ex.ac.uk/people/staff/mrwatkin/zeta/tutorial.htm
Notes and links compiled by Mark Watkins on the relation of the Riemann zeta function to the distribution of prime numbers.

• 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

Index to hundreds of prime-related articles in Eric Weisstein's MathWorld.

• Natural Numbers

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

• 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.

• 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.

• Prime k-tuplets

Tony Forbes' extensive collection of special types of prime clusters.

• Prime Numbers and Factoring

http://www.ontko.com/pub/rayo/primes/
Links and references related to primes and factoring.

• Prime Numbers Generator and Checker

Enter a natural number, check it and find the nearest prime.

• 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.

• Riesel Prime Database

http://www.rieselprime.de/
The "Riesel Prime Search" project is searching for primes of the form k·2^n-1, odd k.

• Some Prime Numbers

http://www.rsok.com/~jrm/printprimes.html

• 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 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.

• 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.

Other Languages

Thanks to DMOZ, which built a great web directory for nearly two decades and freely shared it with the web. About us