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Prime95, also distributed as the command-line utility mprime for FreeBSD and Linux, is a freeware application written by George Woltman. It is the official client of the Great Internet Mersenne Prime Search (GIMPS), a volunteer computing project dedicated to searching for Mersenne primes. It is also used in overclocking to test for system ...
In 2018, GIMPS adopted a Fermat primality test with basis a=3 [6] [7] as an alternative option for primality testing, [8] while keeping the Lucas-Lehmer test as a double-check for Mersenne numbers detected as probable primes by the Fermat test. [9]
New Mersenne primes are found using the Lucas–Lehmer test (LLT), a primality test for Mersenne primes that is efficient for binary computers. [ 2 ] The displayed ranks are among indices currently known as of 2022 [update] ; while unlikely, ranks may change if smaller ones are discovered.
Mersenne numbers are very good test cases for the special number field sieve algorithm, so often the largest number factorized with this algorithm has been a Mersenne number. As of June 2019 [update] , 2 1,193 − 1 is the record-holder, [ 27 ] having been factored with a variant of the special number field sieve that allows the factorization ...
George Woltman (born November 10, 1957) is the founder of the Great Internet Mersenne Prime Search (GIMPS), a distributed computing project researching Mersenne prime numbers using his software Prime95. He graduated from the Massachusetts Institute of Technology (MIT) with a degree in computer science. He lives in North Carolina.
The Lucas–Lehmer test works as follows. Let M p = 2 p − 1 be the Mersenne number to test with p an odd prime.The primality of p can be efficiently checked with a simple algorithm like trial division since p is exponentially smaller than M p.
A stress test (sometimes called a torture test) of hardware is a form of deliberately intense and thorough testing used to determine the stability of a given system or entity. It involves testing beyond normal operational capacity , often to a breaking point, in order to observe the results.
The Standard Performance Evaluation Corporation (SPEC) is a non-profit consortium that establishes and maintains standardized benchmarks and performance evaluation tools for new generations of computing systems.