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1·The Mersenne prime is an important research topic in number theory.

梅森素数分布研究是数学中的一大难题。

2·The Mersenne prime distribution is a very difficult topic in mathematics.

梅森素数分布研究是数学中的一大难题。

3·The chance that the exponent you are testing will yield a Mersenne prime is about 1 in 143369.

你正在测试的指数产生一个梅森素数的概率是1/143369。

4·Since no primes were found, the 40th known Mersenne prime can now be simply called the 40th Mersenne prime.

由于没有发现比这个数更小的新的梅森素数，所以“第40个已知的梅森素数”现在可以简称为“第40个梅森素数”了。

5·The Great Internet Mersenne prime Search, a cooperative computing project, helps find a prime that has nearly 13 million digits.

合作计算项目“大互联网寻找梅森素数”发现了一个差不多一千三百万位的素数。