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From: chongo@nsc.uucp (Curt Noll)
Newsgroups: net.math
Subject: Dr. Jurca's Factorial problem
Message-ID: <349@nsc.uucp>
Date: Tue, 23-Aug-83 01:56:50 EDT
Article-I.D.: nsc.349
Posted: Tue Aug 23 01:56:50 1983
Date-Received: Thu, 18-Aug-83 01:06:14 EDT
Organization: National Semiconductor, Sunnyvale
Lines: 18

Dr. Jurca related the following problem which Laura Glenn (who was Laura
Nickel or opje) and i presented the following problem to the West Coast
Number Ther. Conf. of 1978:

	for what integers a,b,c > 0 does a! * b! = c!

solutions fall into to classes:

	recusive class:   a = (n! - 1)!  and b = n! thus c = (n!)!
	special class:    a = 6   b = 7   c = 10

the question is, are there other members of the special class?  i.e.,
is 6!*7!=10! the only member of the special class?

many noted people in number theory are working on this problem, and several
computers are looking for alternative solutions.  any ideas????????

nsc!chongo /\../\