interprime
Sign in to saveIn 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).
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interprime是指兩個連續奇質數的算術平均數，例如9是連續質數7和11的平均，因此9是interprime。最小的幾個interprime是： 4, 6, 9, 12, 15, 18, 21, 26, 30, 34, 39, 42, 45, 50, 56, 60, 64, 69, 72, 76, 81, 86, 93, 99, ... （OEIS數列） 因為二連續質數之間不可能有另一個質數，因此interprime本身不會是質數，實際上，所有interprime都是2或3的倍數。 質數有無限多個，所以interprime也會有無限多個，2009年時已知最大的interprime是100355位數的n = 65516468355 · 2333333，n ± 1即為已知最大的雙生質數。
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