Primality Proving Primality Tests Prime Numbers Number Theory


Prime numbers may be considered as the building blocks of the integers, and the problems of factoring numbers into primes and discovering large primes of various forms have a definite nobility. Perhaps somewhat surprisingly, prime numbers may be proven prime without exhaustively testing all potential factors. This category includes links to theoretical information, and organized searches that apply these theorems.








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Primality Proving


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Primality Proving* - Covers different types of primality tests, such as quick, classical and general purpose prime filters. Page includes bibliography.

  • Lucas's Primality Test with Factored N-1 - Kevin Brown explains the mathematics behind the classical prime numbers "N-1" primality tests method to prove primes.
  • Manindra Agrawal - Papers including "PRIMES is in P" by Agrawal, Kayal and primality proving Saxena (AKS). It presents a polynomial-time primality proving algorithm for primality proving any number.


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