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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 Brocard's problem ： ウィキペディア英語版 Brocard's problem Brocard's problem is a problem in mathematics that asks to find integer values of ''n'' for which :$n!+1\; =\; m^2,$ where n! is the factorial. It was posed by Henri Brocard in a pair of articles in 1876 and 1885, and independently in 1913 by Srinivasa Ramanujan. ==Brown numbers== Pairs of the numbers (''n'', ''m'') that solve Brocard's problem are called Brown numbers. There are only three known pairs of Brown numbers: :(4,5), (5,11), and (7,71). Paul Erdős conjectured that no other solutions exist. showed that there are only finitely many solutions provided that the abc conjecture is true. performed calculations for ''n'' up to 109 and found no further solutions. 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「Brocard's problem」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.