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Being liberal in an illiberal age A Mersenne prime is a Mersenne number, i.e., a number of the form M_n=2^n-1, that is prime. In order for M_n to be prime, n must itself be prime. This is true since for composite n with factors r and s, n=rs. Therefore, 2^n-1 can be written as 2^(rs)-1, which is a binomial number that always has a factor (2^r-1). The first few Mersenne primes are 3, 7, 31, 127, 8191, 131071, 524287, 2147483647 A Ring Of Roses LITTLE RED HEN PA + AUDIO Primtal epub Poul Erik Kristensen Andechs-Meranier in Franken Primtal Hent para el ipad We put question marks instead of a number for the last of the Mersenne primes because it will not be known if there are other Mersenne's in between these until a check and double check has been completed by GIMPS. 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