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翻訳と辞書　辞書検索 [ 開発暫定版 ] スポンサード リンク Giuga number ： ウィキペディア英語版 Giuga number A Giuga number is a composite number ''n'' such that for each of its distinct prime factors ''p''''i'' we have $p\_i\; |\; (\; -\; 1)$, or equivalently such that for each of its distinct prime factors ''p''''i'' we have $p\_i^2\; |\; (n\; -\; p\_i)$. The Giuga numbers are named after the mathematician Giuseppe Giuga, and relate to his conjecture on primality. == Definitions == Alternative definition for a Giuga number due to Takashi Agoh is: a composite number ''n'' is a Giuga number if and only if the congruence :$nB\_\; \backslash equiv\; -1\; \backslash pmod\; n$ holds true, where ''B'' is a Bernoulli number and $\backslash varphi(n)$ is Euler's totient function. An equivalent formulation due to Giuseppe Giuga is: a composite number ''n'' is a Giuga number if and only if the congruence :$\backslash sum\_^\; i^\; \backslash equiv\; -1\; \backslash pmod\; n$ and if and only if :$\backslash sum\_\; \backslash frac\; -\; \backslash prod\_\; \backslash frac\; \backslash in\; \backslash mathbb.$ All known Giuga numbers ''n'' in fact satisfy the stronger condition :$\backslash sum\_\; \backslash frac\; -\; \backslash prod\_\; \backslash frac\; =\; 1.$ 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「Giuga number」の詳細全文を読む スポンサード リンク 翻訳と辞書 : 翻訳のためのインターネットリソース Copyright(C) kotoba.ne.jp 1997-2016. All Rights Reserved.