Factorial prime
id:
factorial-prime-264-1042545
title:
Factorial prime
text:
A factorial prime is a prime number that is one less or one more than a factorial. The first 10 factorial primes are: n! − 1 is prime for: n! + 1 is prime for: No other factorial primes are known as of October 2022. When both n! + 1 and n! − 1 are composite, there must be at least 2n + 1 consecutive composite numbers around n!, since besides n! ± 1 and n! itself, also, each number of form n! ± k is divisible by k for 2 ≤ k ≤ n. However, the necessary length of this gap is asymptotically smaller
brand slug:
wiki
category slug:
encyclopedia
description:
Prime numbers of the form n!±1
original url:
https://en.wikipedia.org/wiki/Factorial_prime
date created:
date modified:
2023-07-19T09:49:06Z
main entity:
{"identifier":"Q973861","url":"https://www.wikidata.org/entity/Q973861"}
image:
fields total:
13
integrity:
14