**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 }