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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 Redmond–Sun conjecture ： ウィキペディア英語版 Redmond–Sun conjecture In mathematics, the Redmond–Sun conjecture, raised by Stephen Redmond and Zhi-Wei Sun in 2006, states that every interval () with ''x'', ''y'', ''m'', ''n'' ∈  contains primes with only finitely many exceptions. Namely, those exceptional intervals () are as follows: :$(),\backslash \; (),\backslash \; (),\backslash \; (),\backslash \; (),$ :$(),\backslash \; (),\backslash \; (),\backslash \; (),\backslash \; ().$ The conjecture has been verified for intervals () below 1012. It includes Catalan's conjecture and Legendre's conjecture as special cases. Also, it is related to the abc conjecture as suggested by Carl Pomerance. ==External links== * * ( Number Theory List (NMBRTHRY Archives) --March 2006 ) * Sequence in the On-Line Encyclopedia of Integer Sequences 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「Redmond–Sun conjecture」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.