Relay-Version: version B 2.10 5/3/83; site utzoo.UUCP
Posting-Version: version B 2.10 beta 3/9/83; site nsc.UUCP
Path: utzoo!linus!philabs!cmcl2!floyd!harpo!seismo!hao!hplabs!nsc!chongo
From: chongo@nsc.UUCP (Landon C. Noll)
Newsgroups: net.math
Subject: factorial problem
Message-ID: <802@nsc.UUCP>
Date: Mon, 2-Apr-84 17:06:16 EST
Article-I.D.: nsc.802
Posted: Mon Apr  2 17:06:16 1984
Date-Received: Thu, 5-Apr-84 01:12:26 EST
Organization: National Semiconductor, Sunnyvale
Lines: 14

the following problem was proposed by Dr. Dan Jurca and presented to the
West Coast Num. Thr. conf. in 1979.  as far as i know, the metter is
unresolved.

PROBLEM:

consider the set of triplets: (a, b, c) where:  a! * b! = c!
and omitting the solution sets ( (n!)-1, n!, (n!)! ) which are trivial.

one such set is: (6,7,10)  (i.e., 6!*7!=10!)

Question:  does another set besides (6,7,10) exist?

chongo < 720 * 5040 = 3628800 > /\../\