Shanks's square forms factorization

id: shanks-s-square-forms-factorization-236-16846175
title: Shanks's square forms factorization
text: Shanks' square forms factorization is a method for integer factorization devised by Daniel Shanks as an improvement on Fermat's factorization method. The success of Fermat's method depends on finding integers x and y such that x 2 − y 2 = N , where N is the integer to be factored. An improvement is to look for integers x and y such that x 2 ≡ y 2 . Finding a suitable pair does not guarantee a factorization of N , but it implies that N is a factor of x 2 − y 2 = , and there is a good chance that
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original url: https://en.wikipedia.org/wiki/Shanks%27s_square_forms_factorization
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date modified: 2023-12-16T11:13:11Z
main entity: {"identifier":"Q4291872","url":"https://www.wikidata.org/entity/Q4291872"}
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integrity: 13

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