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形如2~p-1的数叫做梅森数,其中的素数就叫做梅森素数,之所以这样称呼是为了纪念最先深入研究这种素数的法国学者梅森(M.Mersenne,1588～1648).后来梅森素数的研究成为重要的数论课题,本刊1998年第8～9期作过详细的介绍并列出到当时已经发现了的37个梅森素数,后来本刊又陆续介绍了几个新梅森素数的发现,本文再列出人们发现的第35～43个梅森素数.
The number 2 ~ p-1 is called the Mason number, and the prime number is called the Mersenne prime number, so called in honor of the French scholar M. Mersenne (1588 ~ 1648) who first studied this prime number. The study of Mersenne primes has become an important topic in number theory. In this issue, we made a detailed introduction in the 8th to the 9th of 1998 and listed up to 37 Mason primes that were discovered at that time. Later, we introduced several new Mersenne primes The article also lists the 35th to 43th Mason primes that people found.