Review of Research on Mersenne Primes
Zhang Sib · Keji daobao · 2008
The Mersenne prime is an important research topic in number theory.It has long been a hot spot but is very difficult.In this paper,some definitions,theories and algorithms of Mersenne primes are discussed.The history of searching Mersenne primes is reviewed.Some problems related to Mersenne primes and the distributed computing technology used for searching Mersenne primes are introduced.The distribution of Mersenne primes is discussed.Future directions of research on Mersenne primes are suggested.