### Subcategories 4

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### Sites 31

The Prime Pages

Prime number research, records and resources. Includes largest known primes, finding and proving primes, glossary, curios, links.

The Prime Puzzles & Problems Connection

Carlos Rivera's collection of problems and puzzles related to prime numbers.

Animation of Eratosthenes' Prime Sieve

An interactive animation of the sieve of Eratosthenes to obtain prime numbers (JavaScript required).

Applets for Prime Numbers

Factorization and weights of Proth coefficients.

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.

Ask Dr. Math FAQ: Prime Numbers

Archived questions and answers at different levels.

Entropy and Prime Numbers

Entropy of a nonnegative adjacency matrix related to prime numbers.

Gebhard Glöggler

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

Software, results and other resources.

Generalized Woodall Numbers

An organized search for primes of the form n*b^n-1.

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.

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.

K-Tuple Permissible Patterns

Findings using an exhaustive search by Thomas J Engelsma.

MacTutor History of Mathematics: Prime Numbers

Includes biographies on many mathematicians.

MathWorld: Prime Numbers

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

Natural Numbers

Provides a collection of tools and interesting pages for testing, visualizing, and understanding natural numbers.

The Nine and Ten Primes Project

The discovery of nine and finally ten consecutive primes in arithmetic progression.

Notes and Literature on Prime Numbers

With applets to demonstrate properties of primes.

Number Spiral

Explains this method of visually representing the distribution of primes and the relationships between factors and products.

Primality

Introductory text on the theory of prime numbers and number fields. Contains proofs of some important theorems including the fundamental theorem of arithmetic.
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Prime k-tuplets

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

The Prime Machine

Explore interactively the Goldbach conjecture, the distribution of prime twins, the prime number theorem.

Prime Numbers and Factoring

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

Browse all prime numbers of less than 10 digits. A prime number checker facility is also included.

Riesel Prime Database

The "Riesel Prime Search" project is searching for primes of the form k·2^n-1, odd k.

Some Prime Numbers

Sieves and factoring for small numbers. Download primes below 8 billion.

Thomas R. Nicely

Includes twin prime counts, tables of first occurrence prime gaps, papers.

Visualizing the Distribution of Prime Numbers

Investigation into patterns in the distribution of the primes by visualizing them.

Wikipedia: Prime Numbers

Index to many prime-related articles.

World of Numbers: World of Palindromic Primes

Records, statistics, curios and puzzles about primes reading the same backwards. Compiled by Patrick De Geest.

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