Quote:
Originally Posted by VBCurtis
Are you saying n! +1 up to n!+n are all composite? I must not understand what you mean by "anything between 1 and n", because there are lots of examples where n!+1 are prime.

I think they messed up on saying 1 but we can prove that n!+2 to n!+(nextprime(n+1)1) are all composite. edit:of course this isn't necessarily the first time this gap happens the primorial also works on the same logic: 2*3*5+2 until 2*3*5+(71) are all composite.