P versus NP problem Conjecture

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the p versus np problem major unsolved problem in computer science. informally, asks whether every problem solution can verified computer can solved computer; conjectured answer no. first mentioned in 1956 letter written kurt gödel john von neumann. gödel asked whether np complete problem solved in quadratic or linear time. precise statement of p=np problem introduced in 1971 stephen cook in seminal paper complexity of theorem proving procedures , considered many important open problem in field. 1 of 7 millennium prize problems selected clay mathematics institute carry us$1,000,000 prize first correct solution.








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