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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 integer sequence prime ： ウィキペディア英語版 integer sequence prime In mathematics, an integer sequence prime is a prime number found as a member of an integer sequence. For example, the 8th Delannoy number, 265729, is prime. A challenge in empirical mathematics is to identify large prime values in rapidly growing sequences. A common subclass of integer sequence primes are constant primes, formed by taking a constant real number and considering prefixes of its decimal representation, omitting the decimal point. For example, the first 6 decimal digits of the constant ''π'', approximately 3.14159265, form the prime number 314159, which is therefore known as a pi-prime. Similarly, a constant prime based on ''e'' is called an e-prime. Other examples of integer sequence primes include: * Cullen prime – a prime that appears in the sequence of Cullen numbers $a\_n=n2^n+1\backslash ,\; .$ * Factorial prime – a prime that appears in either of the sequences $a\_n=n!-1$ or $b\_n=n!+1\backslash ,\; .$ * Fermat prime – a prime that appears in the sequence of Fermat numbers $a\_n=2^+1\backslash ,\; .$ * Fibonacci prime – a prime that appears in the sequence of Fibonacci numbers. * Lucas prime – a prime that appears in the Lucas numbers. * Mersenne prime – a prime that appears in the sequence of Mersenne numbers $a\_n=2^n-1\backslash ,\; .$ * Primorial prime – a prime that appears in either of the sequences $a\_n=n\backslash \#-1$ or $b\_n=n\backslash \#+1\backslash ,\; .$ * Pythagorean prime – a prime that appears in the sequence $a\_n=4n+1\backslash ,\; .$ * Woodall prime – a prime that appears in the sequence of Woodall numbers $a\_n=n2^n-1\backslash ,\; .$ The On-Line Encyclopedia of Integer Sequences includes many sequences corresponding to the prime subsequences of well-known sequences, for example A001605 for Fibonacci numbers that are prime. == References == * * * * 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「integer sequence prime」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.