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...
71 KB (6,416 words) - 18:42, 19 July 2024
Mersenne primes and perfect numbers are two deeply interlinked types of natural numbers in number theory. Mersenne primes, named after the friar Marin...
49 KB (2,785 words) - 17:56, 6 August 2024
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...
9 KB (946 words) - 16:23, 26 July 2024
largest known primes are Mersenne primes. The last seventeen record primes were Mersenne primes. The binary representation of any Mersenne prime is composed...
24 KB (1,189 words) - 05:34, 10 July 2024
Internet Mersenne Prime Search (GIMPS) is a collaborative project of volunteers who use freely available software to search for Mersenne prime numbers...
18 KB (1,504 words) - 10:36, 19 June 2024
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...
32 KB (4,013 words) - 03:10, 28 June 2024
mathematics, the Mersenne conjectures concern the characterization of a kind of prime numbers called Mersenne primes, meaning prime numbers that are a...
12 KB (1,137 words) - 15:38, 27 February 2024
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...
116 KB (14,108 words) - 23:59, 15 August 2024
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...
107 KB (5,796 words) - 19:19, 14 August 2024