Each of X and Y is a positive integer, such that:

• X and Y are relatively prime, and:
• Each of (X² – 5)/Y and (y² – 5)/X is a positive integer.

Does there exist an infinite numbers of pairs (X,Y) satisfying the given conditions?
Give reasons for your answer.

(In reply to Lucozade (Spoiler) by Harry)

Very neat.

Posted by broll on 2016-01-01 08:57:54