If 'p' be a prime, then what is the remainder when (p - 1)! is divided by p?

(In reply to full solution by SilverKnight)

The first Wikipedia proff and the others to which you give the link are essentially the same as I gave in my previous comment. It is due to Gauss, according to Uspensky and Heaslit's Elementary Number Theory (a gem, but out of print). For someone with scant experience with number theory and congruences, this would be a very difficult problem, in my opinion.

~Richard

Posted by Richard on 2003-11-21 21:38:31