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单词 sieve of eratosthenes
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sieve of Eratosthenes
a. In full sieve of Eratosthenes [translating Greek κόσκινον Ἐρατοσθένους, < the name of the Greek scientific writer of the 3rd cent. b.c. who devised it] . A method of finding the prime numbers in a (usually consecutive) list of numbers by deleting in turn all the multiples of all possible prime factors.
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the world > relative properties > number > mathematics > [noun] > mathematical enquiry > process of calculating > method or rule for
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1803 J. Bonnycastle tr. C. Bossut Gen. Hist. Math. 18 The famous sieve of Eratosthenes..affords an easy and commodious method of finding prime numbers.
1857 Proc. Ashmolean Soc. 3 128 To Eratosthenes of Alexandria..is attributed the invention of the method by which the primes may successively be determined in order of magnitude. It is termed..‘the sieve of Eratosthenes’.
1945 E. T. Bell Devel. Math. (ed. 2) iv. 89 Boethius reproduced the sieve of Eratosthenes and offered some amusing trifles on figurate numbers.
1966 C. S. Ogilvy & J. T. Anderson Excursions Number Theory viii. 97 There is no known formula that turns out the prime numbers. Essentially the only way to find them is by the use of the ‘sieve’ devised by Eratosthenes.
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