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单词 Factorial prime
释义

Factorial prime

中文百科

阶乘素数

阶乘素数是和某个阶乘相邻的素数,即它是某个阶乘的增一或减一。

最小的几个阶乘素数为: 2(0!+1或1!+1), 3(2!+1), 5(3!-1), 7(3!+1), 23(4!-1), 719(6!-1), 5039(7!-1), 39916801(11!+1), 479001599(12!-1), 87178291199(14!-1), ...OEIS中的数列A088054

使n!+1是素数的n有: 0, 1, 2, 3, 11, 27, 37, 41, 73, 77, 116, 154, 320, 340, 399, 427, 872, 1477, 6380, 26951, 110059, 150209, ...OEIS中的数列A002981

英语百科

Factorial prime 阶乘素数

A factorial prime is a prime number that is one less or one more than a factorial (all factorials > 1 are even). The first few factorial primes are:

n! 1 is prime for (sequence A002982 in OEIS):

n! + 1 is prime for (sequence A002981 in OEIS):

No other factorial primes are known as of August 2015.

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更新时间:2025/6/22 16:41:23