primality testing algorithm

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• Primality test — A primality test is an algorithm for determining whether an input number is prime. Amongst other fields of mathematics, it is used for cryptography. Unlike integer factorization, primality tests do not generally give prime factors, only stating… …   Wikipedia

• Primality certificate — In mathematics and computer science, a primality certificate or primality proof is a succinct, formal proof that a number is prime. Primality certificates allow the primality of a number to be rapidly checked without having to run an expensive or …   Wikipedia

• Miller–Rabin primality test — The Miller–Rabin primality test or Rabin–Miller primality test is a primality test: an algorithm which determines whether a given number is prime, similar to the Fermat primality test and the Solovay–Strassen primality test. Its original version …   Wikipedia

• AKS primality test — The AKS primality test (also known as Agrawal–Kayal–Saxena primality test and cyclotomic AKS test) is a deterministic primality proving algorithm created and published by three Indian Institute of Technology Kanpur computer scientists, Manindra… …   Wikipedia

• Nondeterministic algorithm — In computer science, a nondeterministic algorithm is an algorithm that can exhibit different behaviors on different runs, as opposed to a deterministic algorithm. There are several ways an algorithm may behave differently from run to run. A… …   Wikipedia

• Solovay–Strassen primality test — The Solovay–Strassen primality test, developed by Robert M. Solovay and Volker Strassen, is a probabilistic test to determine if a number is composite or probably prime. It has been largely superseded by the Miller–Rabin primality test, but has… …   Wikipedia

• Schwartz-Zippel lemma and testing polynomial identities — Polynomial identity testing is the problem of determining whether a given multivariate polynomial is the0 polynomial or identically equal to 0. The input to the problem is an n variable polynomial over a fieldF. It can occur in the following… …   Wikipedia

• Fermat primality test — The Fermat primality test is a probabilistic test to determine if a number is probably prime. ConceptFermat s little theorem states that if p is prime and 1 le a < p, then :a^{p 1} equiv 1 pmod{p}If we want to test if p is prime, then we can pick …   Wikipedia

• In-place algorithm — In place redirects here. For execute in place file systems, see execute in place. In computer science, an in place algorithm (or in Latin in situ) is an algorithm which transforms input using a data structure with a small, constant amount of… …   Wikipedia

• Baillie-PSW primality test — In number theory, the Baillie PSW primality test is a probabilistic primality testing heuristic: it determines if a number is composite or a probable prime.The authors of the test offered $30 for the discovery of a composite number that passed… …   Wikipedia

• Pollard's p - 1 algorithm — Pollard s p − 1 algorithm is a number theoretic integer factorization algorithm, invented by John Pollard in 1974. It is a special purpose algorithm, meaning that it is only suitable for integers with specific types of factors; it is the simplest …   Wikipedia