primality testing

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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

• 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

• 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

• 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

• 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 It has been largely superseded by the Miller–Rabin primality test, but has… …   Wikipedia

• Elliptic curve primality proving — (ECPP) is a method based on elliptic curves to prove the primality of a number. It is a general purpose algorithm, meaning it does not depend on the number being a special form. ECPP is currently in practice the fastest known algorithm for… …   Wikipedia

• Prime number — Prime redirects here. For other uses, see Prime (disambiguation). A prime number (or a prime) is a natural number greater than 1 that has no positive divisors other than 1 and itself. A natural number greater than 1 that is not a prime number is… …   Wikipedia

• Тест Агравала — В информатике тест Агравала  Каяла  Саксены (или тест AKS)  это полиномиальный детерминированный тест простоты чисел, предложенный индийскими учёным Маниндрой Агравалом (англ.) и его двумя студентами Нираджем Каялом (англ …   Википедия