英语词汇“mersenne prime”的英英意思、用法、释义、翻译、读音、例句、短语、词组-英语词典

attributive and in the genitive. Designating numbers of the form 2^p−1 (where p is a prime number); esp. in Mersenne prime.

ΘΚΠ

the world > relative properties > number > mathematical number or quantity > [noun] > particular qualities > prime > relating to

Mersenne1892

Fermat('s) number1906

twin prime1930

pseudoprime1949

Skewes1949

1892 Messenger of Math. 21 40 The riddle as to how Mersenne's numbers were discovered remains unsolved.

1911 Encycl. Brit. XIX. 863/1 Similar difficulties are encountered when we examine Mersenne's numbers, which are those of the form 2^p−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.

1939 J. V. Uspensky & M. A. Heaslet Elem. Number Theory iv. 82 Numbers of the form 2^p−1 are called Mersenne's numbers because of a statement made concerning them in the preface to his ‘Cogitata physico-mathematica’, published in 1644.

1943 Amer. Math. Monthly 50 29 The only Mersenne primes which are in section I of their class are 2²−1, 2³−1, 2⁵−1, 2¹⁷−1.

1966 C. S. Ogilvy & J. T. Anderson Excursions Number Theory ii. 22 The Mersenne number 2¹¹−1 is composite (it equals 23 × 89).

1974 Nature 16 Aug. 610/3 The largest known Mersenne prime, by 1971, is 2^p−1 where p = 19937.

1997 Sci. Amer. Feb. 61/1 [They] implemented at NeXT what is one of the strongest—if not the strongest—encryption schemes available today, based on Mersenne primes.

单词	mersenne prime
释义	> as lemmas Mersenne prime attributive and in the genitive. Designating numbers of the form 2^p−1 (where p is a prime number); esp. in Mersenne prime. ΘΚΠ the world > relative properties > number > mathematical number or quantity > [noun] > particular qualities > prime > relating to Mersenne1892 Fermat('s) number1906 twin prime1930 pseudoprime1949 Skewes1949 1892 Messenger of Math. 21 40 The riddle as to how Mersenne's numbers were discovered remains unsolved. 1911 Encycl. Brit. XIX. 863/1 Similar difficulties are encountered when we examine Mersenne's numbers, which are those of the form 2^p−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. 1939 J. V. Uspensky & M. A. Heaslet Elem. Number Theory iv. 82 Numbers of the form 2^p−1 are called Mersenne's numbers because of a statement made concerning them in the preface to his ‘Cogitata physico-mathematica’, published in 1644. 1943 Amer. Math. Monthly 50 29 The only Mersenne primes which are in section I of their class are 2²−1, 2³−1, 2⁵−1, 2¹⁷−1. 1966 C. S. Ogilvy & J. T. Anderson Excursions Number Theory ii. 22 The Mersenne number 2¹¹−1 is composite (it equals 23 × 89). 1974 Nature 16 Aug. 610/3 The largest known Mersenne prime, by 1971, is 2^p−1 where p = 19937. 1997 Sci. Amer. Feb. 61/1 [They] implemented at NeXT what is one of the strongest—if not the strongest—encryption schemes available today, based on Mersenne primes. extracted from Mersennen. < as lemmas
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