primality problem

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• 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

• 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

• Computational problem — In theoretical computer science, a computational problem is a mathematical object representing a collection of questions that computers might want to solve. For example, the problem of factoring Given a positive integer n, find a nontrivial prime …   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

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 It has been largely superseded by the Miller–Rabin primality test, but has… …   Wikipedia

• P versus NP problem — Unsolved problems in computer science Is P = NP ? …   Wikipedia

• P = NP problem — The relationship between the complexity classes P and NP is an unsolved question in theoretical computer science. It is considered to be the most important problem in the field – the Clay Mathematics Institute has offered a $1 million US prize… …   Wikipedia

• Decision problem — A decision problem has only two possible outputs, yes or no (or alternately 1 or 0) on any input. In computability theory and computational complexity theory, a decision problem is a question in some formal system with a yes or no answer,… …   Wikipedia

• Randomized algorithm — Part of a series on Probabilistic data structures Bloom filter · Skip list …   Wikipedia

• Co-NP — In computational complexity theory, co NP is a complexity class. A problem mathcal{X} is a member of co NP if and only if its complement overline{mathcal{X is in complexity class NP. In simple terms, co NP is the class of problems for which… …   Wikipedia

• co-NP — Unsolved problems in computer science Is NP = co NP ? In computational complexity theory, co NP is a complexity class. A problem is a member of co NP if and only if its complement is in the complexi …   Wikipedia