[net.math] factorial problem

chongo@nsc.UUCP (Landon C. Noll) (04/03/84)

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 > /\../\

kp@smu.UUCP (04/19/84)

#R:nsc:-80200:smu:14100001:000:106
smu!kp    Apr 19 14:37:00 1984

The trivial cases mentioned in the above note should read;

   {((n fact)fact-1), n fact, (n fact)fact }