Determine all possible integer pair(s) (P, Q), with neither P nor Q being zero, such that each of P² + Q and Q² + P is a perfect square.

(In reply to computer findings (possible spoiler) by Charlie)

Is there a reasoned way of saying this?

Like, P² is the sum of 1,3,5,7 etc

Similarly Q² is similarly constructed.

What I'm considering therefore is discounting how P or Q can be one of those increments.

Posted by brianjn on 2008-06-22 10:40:30