Sieve of Eratosthenes — Sieve of Eratosthenes: algorithm steps for primes below 121 (including optimization of starting from prime s square). In mathematics, the sieve of Eratosthenes (Greek: κόσκινον Ἐρατοσθένους), one of a number of prime number sieves, is a simple,… … Wikipedia
Eratosthenes — of Cyrene (Greek polytonic|Ἐρατοσθένης; 276 BC 194 BC) was a Greek mathematician, poet, athlete, geographer and astronomer. He made several discoveries and inventions including a system of latitude and longitude. He was the first person to… … Wikipedia
Sieve theory — is a set of general techniques in number theory, designed to count, or more realistically to estimate the size of, sifted sets of integers. The primordial example of a sifted set is the set of prime numbers up to some prescribed limit X .… … Wikipedia
Sieve method — Sieve method, or the method of sieves, can mean: in combinatorics, the set of methods dealt with in sieve theory or more specifically, the Inclusion exclusion principle in statistics, and particularly econometrics, the use of sieve estimators in… … Wikipedia
sieve of Er|a|tos|the|nes — «EHR uh TOS thuh NEEZ», a method for finding prime numbers by writing down a series of whole numbers, beginning with 2, then crossing out all the second numbers except 2, all the third except 3, and so on until all but the prime numbers remain.… … Useful english dictionary
Sieve of Atkin — In mathematics, the sieve of Atkin is a fast, modern algorithm for finding all prime numbers up to a specified integer. It is an optimized version of the ancient sieve of Eratosthenes, but does some preliminary work and then marks off multiples… … Wikipedia
sieve of eratosthenes — ˌerəˈtästhəˌnēz Usage: usually capitalized E Etymology: after Eratosthenes fl 3d century B.C. Greek astronomer and geographer : a device for finding prime numbers consisting of the writing down of the odd numbers from 3 up in succession and of… … Useful english dictionary
Sieve — In general, a sieve separates wanted/desired elements from unwanted material using a tool such as a mesh, net or other filtration or distillation methods, but it is also used for classification of powders by particle size, or for size measurement … Wikipedia
Sieve (mathematics) — In mathematics, sieve has several possible definitions: * In number theory, a sieve is a technique for counting the size of certain sets whose precise number of elements is hard to determine. See sieve theory, general number field sieve, and… … Wikipedia
Eratosthenes of Cyrene — (c. 276 bc–194 bc) Greek astronomer Eratosthenes was born in Cyrene, now in Libya, and educated at Athens. He then taught in Alexandria where he became tutor to the son of Ptolemy III and librarian. He was prominent in history, poetry,… … Scientists
