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Mersenne Math.
(mɜː-, ‖ mɛrˈsɛn)
The name of Marin Mersenne (1588–1648), French mathematician and musician, used attrib. and in the possessive to designate numbers of the form 2p—1 (where p is a prime number).
1892Messenger of Math. XXI. 40 The riddle as to how Mersenne's numbers were discovered remains unsolved. 1911Encycl. Brit. XIX. 863/1 Similar difficulties are encountered when we examine Mersenne's numbers, which are those of the form 2p—1, with p a prime; the known cases for which a Mersenne number is prime correspond to p = 2, 3, 5, 7, 13, 17, 19, 31, 61. 1939Uspensky & Heaslet Elem. Number Theory iv. 82 Numbers of the form 2p—1 are called Mersenne's numbers because of a statement made concerning them in the preface to his ‘Cogitata physico-mathematica’, published in 1644. 1966Ogilvy & Anderson Excursions in Number Theory ii. 22 The Mersenne number 211—1 is composite (it equals 23 × 89). 1974Nature 16 Aug. 610/3 The largest known Mersenne prime, by 1971, is 2p—1 where p = 19937. |