[seqfan] Re: A053709

[Frank Adams-Watters]

It may well be that 3 is the only "prime balanced factorial" with a 
difference of 1. See A002981and A002982.

Franklin T. Adams-Watters

-----Original Message-----
From: Frank Adams-Watters <franktaw at netscape.net>
To: seqfan <seqfan at list.seqfan.eu>
Sent: Wed, Jul 23, 2014 12:17 pm
Subject: [seqfan] Re: A053709


A correct statement is "the difference between n! and its two closest
primes must either be 1, or exceed n".

Franklin T. Adams-Watters

-----Original Message-----
From: Hans Havermann <gladhobo at teksavvy.com>
To: Sequence Fanatics Discussion list <seqfan at list.seqfan.eu>
Sent: Wed, Jul 23, 2014 11:34 am
Subject: [seqfan] A053709


https://oeis.org/A053709
Prime balanced factorials: n! is the mean of its 2 closest primes.

"The difference between n! and its 2 closest primes must exceed n."
Why? It's not true for one of the terms.