Determine all possible pair(s) (X, Y), with X being a prime and Y being a positive integer, that satisfy this equation:
(X-1)! + 1 = XY
Here we were specifically concerned with any perfect square, not just a power of X. I tried to prove there were few solutions. Could similar methods work here?
Note: if Y is even we can use the same difference of squares idea.
Posted by Jer
on 2009-04-25 01:39:08