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单词 TableOfFactorsOfSmallMersenneNumbers
释义

table of factors of small Mersenne numbers


The following table lists the prime factorsMathworldPlanetmath for some small Mersenne numbers, specifically, numbers of the form 2p-1 where p is a prime in the range 1<p<200 and 2p-1 is composite. Thus, the following values of p have been left off the table: 2, 3, 5, 7, 13, 17, 19, 31, 61, 89, 107, 127 and all primes greater than 199 (see table of Mersenne primes). The numbers get quite large, and correspondingly, so do their factors. All these numbers are squarefreeMathworldPlanetmath (given the Möbius function, μ(2p-1)0). Their factors are all of the form 2mp+1, with m in the range 0<m<2p-1.

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更新时间:2025/5/4 17:36:37