In mathematics, a Mersenne prime is a prime number that is one less than a power of two. That is, it is a prime number of the form Mn = 2n − 1 for some...

Mersenne primes and perfect numbers are two deeply interlinked types of natural numbers in number theory. Mersenne primes, named after the friar Marin...

a double Mersenne number is a Mersenne number of the form M M p = 2 2 p − 1 − 1 {\displaystyle M_{M_{p}}=2^{2^{p}-1}-1} where p is prime. The first...

largest known primes are Mersenne primes. The last seventeen record primes were Mersenne primes. The binary representation of any Mersenne prime is composed...

Internet Mersenne Prime Search (GIMPS) is a collaborative project of volunteers who use freely available software to search for Mersenne prime numbers...

Nishimura (西村 拓士). Its name derives from the choice of a Mersenne prime as its period length. The Mersenne Twister was designed specifically to rectify most...

mathematics, the Mersenne conjectures concern the characterization of a kind of prime numbers called Mersenne primes, meaning prime numbers that are a...

of special forms, such as Mersenne numbers. As of December 2018[update] the largest known prime number is a Mersenne prime with 24,862,048 decimal digits...

also contains the largest known prime: M82589933, the 51st known Mersenne prime. Primes p that divide 2n − 1, for some prime number n. 3, 7, 23, 31, 47, 89...

of the Great Internet Mersenne Prime Search (GIMPS), a volunteer computing project dedicated to searching for Mersenne primes. It is also used in overclocking...