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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 Balanced prime ： ウィキペディア英語版 Balanced prime In number theory, a balanced prime is a prime number with equal-sized prime gaps above and below it, so that it is equal to the arithmetic mean of the nearest primes above and below. Or to put it algebraically, given a prime number $p\_n$, where ''n'' is its index in the ordered set of prime numbers, :$p\_n\; =\; \backslash over\; 2\}.$ ==Examples== The first few balanced primes are 5, 53, 157, 173, 211, 257, 263, 373, 563, 593, 607, 653, 733, 947, 977, 1103 . For example, 53 is the sixteenth prime. The fifteenth and seventeenth primes, 47 and 59, add up to 106, half of which is 53, thus 53 is a balanced prime. When 1 was considered a prime number, 2 would have correspondingly been considered the first balanced prime since : $2\; =\; .$ 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「Balanced 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.