Mersenne prime

English

Etymology

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Pronunciation

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Noun

1. Template:Lb A prime number which is one less than a power of two (i.e., is expressible in the form $2^n-1$; for example, $31=2^5-1$).

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   • 2005, Jean-Claude Bajard, Laurent Imbert, Thomas Plantard, Modular Number Systems: Beyond the Mersenne Family, Helena Handschuh, M. Anwar Hasan (editors), Selected Areas in Cryptography: 11th International Workshop, SAC 2004, Revised Selected Papers, Springer, Template:W 3357, page 159,

     Mersenne numbers of the form $2^m-1$ are well known examples, but they are not useful for cryptography because there are only a few primes (the first Mersenne primes are 3, 7, 31, 127, 8191, 131071, 524287, 2147483647, etc).

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Related terms

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See also

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Further reading

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