From: utzoo!decvax!duke!trt
Newsgroups: net.math
Title: Plato product problem
Article-I.D.: duke.2347
Posted: Fri Jul 23 12:05:02 1982
Received: Mon Jul 26 00:19:10 1982


Plato (as I recall) noted that 7! == 7 * 8 * 9 * 10.
That is, a descending product from 7 == an ascending product from 7.
He wondered if there were other integers N such that
	1 * 2 * ... * N == N * N+1 * ... * B
for whatever B is needed.

I wrote a program (sorry) which convinced me that
7 was the only such integer.  I forget what the program did.

Anyway.  *Are* there other integers with this property?