If a and p are positive integers, then solve for (a,p):
a²=p!

For the given problem, (a,p) = (1,1) is the only positive integer pair satisfying conditions of the problem.

If non negative p were permissible in terms of the given conditions, then we would have obtained (a,p) = (1,0) as an additional solution.

Edited on February 26, 2008, 12:23 pm

Posted by K Sengupta on 2008-02-26 05:29:42