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Interprime : ウィキペディア英語版
Interprime
In mathematics, an interprime is the average of two consecutive odd primes. For example, 9 is an interprime because it is the average of 7 and 11. The first interprimes are:
:4, 6, 9, 12, 15, 18, 21, 26, 30, 34, 39, 42, 45, 50, 56, 60, 64, 69, 72, 76, 81, 86, 93, 99, ...
Interprimes cannot be prime themselves (otherwise the primes would not have been consecutive). In fact, all interprimes are a multiple of 2 or 3.
There are infinitely many primes and therefore also infinitely many interprimes. The largest known interprime may be the 200700-digit ''n'' = 3756801695685 · 2666669, where ''n'' ± 1 is the largest known twin prime.
==See also==

* Prime gap
* Twin primes
* Cousin prime
* Sexy prime

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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