翻訳と辞書 Words near each other ・ 162nd (East Midland) Brigade ・ 162nd (Parry Sound) Battalion, CEF ・ 162nd Division (IDF) ・ 162nd Fighter Wing ・ 162nd Infantry Brigade (United States) ・ 162nd Infantry Regiment (United States) ・ 162nd meridian ・ 162nd meridian east ・ 162nd meridian west ・ 162nd New York State Legislature ・ 162nd Ohio Infantry ・ 162nd Regiment Royal Armoured Corps ・ 162nd Turkoman Division ・ 163 ・ 163 (disambiguation) ・ 163 (number) ・ 163 BC ・ 163 Erigone ・ 163 North Street, Brighton ・ 1630 ・ 1630 AM ・ 1630 Crete earthquake ・ 1630 in art ・ 1630 in France ・ 1630 in Ireland ・ 1630 in literature ・ 1630 in music ・ 1630 in Norway ・ 1630 in poetry ・ 1630 in science 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 163 (number) ： ウィキペディア英語版 163 (number) 163 (one hundred () sixty-three) is the natural number following 162 and preceding 164. ==In mathematics== 163 is a strong prime in the sense that it is greater than the arithmetic mean of its two neighboring primes. 163 is a lucky prime and a fortunate number. 163 is a strictly non-palindromic number, since it is not palindromic in any base between base 2 and base 161. Given 163, the Mertens function returns 0, it is the third prime with this property, the first two such primes are 101 and 149. 163 figures in an approximation of π, in which $\backslash pi\; \backslash approx\; \backslash approx\; 3.1411$. 163 figures in an approximation of ''e'', in which $e\; \backslash approx\; \backslash approx\; 2.7166\backslash dots$. 163 is a Heegner number. That is, the ring of integers of the field $\backslash mathbb(\backslash sqrt)$ has unique factorization for $a=163$. The only other such integers are $a\; =\; 1,\; 2,\; 3,\; 7,\; 11,\; 19,\; 43,\; 67$. 163 is a permutable prime in base 12, which it is written as 117, the permutations of its digits are 171 and 711, the two numbers in base 12 is 229 and 1021 in base 10, both of them are primes. The function $f(n)\; =\; n^2\; +\; n\; +\; 41$ gives prime values for all values of $n$ between 0 and 39, and for approximately half of all values are prime. 163 appears as a result of solving $f(n)=0$, which gives $n\; =\; (-1+\; \backslash sqrt\; )\; /\; 2$. $\backslash sqrt$ appears in the Ramanujan constant, since -163 in a quadratic nonresidue to modulo all the primes 3, 5, 7, ..., 37. In which $e^\{\backslash pi\; \backslash sqrt\{163\}\}$ almost equals the integer 262537412640768744 = 6403203 + 744. Martin Gardner famously asserted that this identity was exact in a 1975 April Fools' hoax in ''Scientific American''; in fact the value is 262537412640768743.99999999999925007259... 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「163 (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.