翻訳と辞書 Words near each other ・ Primordial dwarfism ・ Primordial element (algebra) ・ Primordial fluctuations ・ Primordial isocurvature baryon model ・ Primordial Lovers ・ Primordial nuclide ・ Primordial phallus ・ Primordial qigong ・ Primordial sandwich ・ Primordial soup ・ Primordial Soup (board game) ・ Primordial tapecua ・ Primordial Undermind ・ Primordialism ・ Primordium ・ Primorial ・ Primorial prime ・ Primoriella ・ Primoris Services Corporation ・ Primorje ・ Primorje-Gorski Kotar County ・ Primorsk ・ Primorsk, Kaliningrad Oblast ・ Primorsk, Leningrad Oblast ・ Primorska banka ・ Primorskaya (Saint Petersburg Metro) ・ Primorskaya Line ・ Primorskaya Oblast ・ Primorskaya railway ・ Primorske novice 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 Primorial ： ウィキペディア英語版 Primorial In mathematics, and more particularly in number theory, primorial is a function from natural numbers to natural numbers similar to the factorial function, but rather than successively multiplying positive integers, only prime numbers are multiplied. There are two conflicting definitions that differ in the interpretation of the argument: the first interprets the argument as an index into the sequence of prime numbers (so that the function is strictly increasing), while the second interprets the argument as a bound on the prime numbers to be multiplied (so that the function value at any composite number is the same as at its predecessor). The rest of this article uses the latter interpretation. The name "primorial", attributed to Harvey Dubner, draws an analogy to ''primes'' the same way the name "factorial" relates to ''factors''. == Definition for Primorial numbers == For the ''n''th prime number ''pn'' the primorial ''pn#'' is defined as the product of the first ''n'' primes: :$p\_n\backslash \#\; =\; \backslash prod\_^n\; p\_k$ where ''pk'' is the ''k''th prime number. For instance, ''p5#'' signifies the product of the first 5 primes: :$p\_5\backslash \#\; =\; 2\; \backslash times\; 3\; \backslash times\; 5\; \backslash times\; 7\; \backslash times\; 11\; =\; 2310.$ The first six primorials ''pn#'' are: :1, 2, 6, 30, 210, 2310. The sequence also includes ''p0#'' = 1 as empty product. Asymptotically, primorials ''pn#'' grow according to: :$p\_n\backslash \#\; =\; e^,$ where $o(\backslash cdot)$ is the little-o notation.〔 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「Primorial」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.