[net.math] Dr. Jurca's Factorial problem

chongo@nsc.uucp (Curt Noll) (08/23/83)

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 /\../\