翻訳と辞書 Words near each other ・ Repulse Bay ・ Repulse Bay Airport ・ Repulse Bay to Ince Bay Important Bird Area ・ Repulse Island National Park ・ Repulse Power Station ・ Repulse-class ship of the line ・ Repulsion ・ Repulsion (band) ・ Repulsion (disambiguation) ・ Repulsion motor ・ Repulsion theory ・ Repulsive force ・ Repulsive guidance molecule ・ Repulsive state ・ Repun Kamuy ・ Repunit ・ Repurchase agreement ・ Repurposing ・ Repurposing (broadcasting) ・ Repuru ・ Reputasyon ・ Reputation ・ Reputation (1917 film) ・ Reputation (1921 film) ・ Reputation (album) ・ Reputation (disambiguation) ・ Reputation and Rarities ・ Reputation capital ・ Reputation Lewis ・ Reputation management 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 Repunit ： ウィキペディア英語版 Repunit In recreational mathematics, a repunit is a number like 11, 111, or 1111 that contains only the digit 1 — a more specific type of repdigit. The term stands for repeated unit and was coined in 1966 by Albert H. Beiler in his book ''Recreations in the Theory of Numbers''. A repunit prime is a repunit that is also a prime number. Primes that are repunits in base 2 are Mersenne primes. == Definition == The base-''b'' repunits are defined as (this ''b'' can be either positive or negative) :$R\_n^=|b|\backslash ge2,\; n\backslash ge1.$ Thus, the number ''R''''n''''(b)'' consists of ''n'' copies of the digit 1 in base b representation. The first two repunits base ''b'' for ''n''=1 and ''n''=2 are :$R\_1^=\; \backslash qquad\; R\_2^=\backslash \; |b|\backslash ge2.$ In particular, the ''decimal (base-10) repunits'' that are often referred to as simply ''repunits'' are defined as :$R\_n=R\_n^=\backslash qquad\backslash mboxn\backslash ge1.$ Thus, the number ''R''''n'' = ''R''''n''''(10)'' consists of ''n'' copies of the digit 1 in base 10 representation. The sequence of repunits base 10 starts with : 1, 11, 111, 1111, 11111, 111111, ... . Similarly, the repunits base 2 are defined as :$R\_n^=\backslash qquad\backslash mboxn\backslash ge1.$ Thus, the number ''R''''n''''(2)'' consists of ''n'' copies of the digit 1 in base 2 representation. In fact, the base-2 repunits are the well-known Mersenne numbers ''M''''n'' = 2''n'' − 1, they start with :1, 3, 7, 15, 31, 63, 127, 255, 511, 1023, 2047, 4095, 8191, 16383, 32767, 65535, ... 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「Repunit」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.