翻訳と辞書 Words near each other ・ Chinese Historical Review ・ Chinese Historical Society of America ・ Chinese Historical Society of New England ・ Chinese Historical Society of Southern California ・ Chinese historiography ・ Chinese home run ・ Chinese honorifics ・ Chinese horror ・ Chinese Horror Story ・ Chinese House ・ Chinese house ・ Chinese House (Potsdam) ・ Chinese Household Income Project ・ Chinese Human Rights Defenders ・ Chinese hwamei ・ Chinese hypothesis ・ Chinese Ice Hockey Association ・ Chinese Ice Hockey Championship ・ Chinese ideals of female beauty ・ Chinese Idol ・ Chinese Immersion School at De Avila ・ Chinese Immigration Act of 1885 ・ Chinese Immigration Act, 1923 ・ Chinese immigration to Hawaii ・ Chinese immigration to Mexico ・ Chinese immigration to Puerto Rico ・ Chinese immigration to Sydney ・ Chinese Imperial cuisine ・ Chinese Imperial Dog ・ Chinese imperialism Dictionary Lists mini英和辞書 mini和英辞書 Webster 1913 Latin-English FOLDOC Wikipedia English ウィキペディア

翻訳と辞書　辞書検索 [ 開発暫定版 ] スポンサード リンク Chinese hypothesis ： ウィキペディア英語版 Chinese hypothesis In number theory, the Chinese hypothesis is a disproven conjecture stating that an integer ''n'' is prime if and only if it satisfies the condition that 2''n''−2 is divisible by ''n''. In other words, that integer ''n'' is prime if and only if $2^n\; \backslash equiv\; 2\; \backslash pmod\backslash ,$. It is true that if ''n'' is prime, then $2^n\; \backslash equiv\; 2\; \backslash pmod\backslash ,$ (this is a special case of Fermat's little theorem). However, the converse (if $\backslash ,2^n\; \backslash equiv\; 2\; \backslash pmod$ then ''n'' is prime) is false, and therefore the hypothesis as a whole is false. The smallest counter example is ''n'' = 341 = 11×31. Composite numbers ''n'' for which 2''n''−2 is divisible by ''n'' are called Poulet numbers. They are a special class of Fermat pseudoprimes. ==History== The Chinese hypothesis is commonly attributed to Chinese scholars more than 2500 years ago. However, this oft-quoted attribution is a myth originating with James Jeans (1898), who wrote that "a paper found among those of the late Sir Thomas Wade and dating from the time of Confucius" contained the theorem. This assertion was refuted by Needham, who attributes the misunderstanding to an incorrect translation of a passage in a well-known book The Nine Chapters on the Mathematical Art. Qi (1991) attributed the hypothesis to Chinese mathematician Li Shanlan (1811–1882), communicated the statement to his collaborator in the translation of Western texts, and the collaborator then published it. Li subsequently learned that the statement was wrong, and hence did not publish it himself, but Hua Heng-Fang published the statement as if it were correct in 1882. 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「Chinese hypothesis」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.