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A Perfect Square Problem (Posted on 2006-06-03) Difficulty: 4 of 5
Find all possible pairs of positive integers (x,y) such that both x+5y and y+5x are perfect squares.

See The Solution Submitted by K Sengupta    
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re: Half an answer | Comment 3 of 10 |
(In reply to Half an answer by e.g.)

"one of this factors is odd, and the other is even, so the product is a multiple of 4, plus 2"

16 is even; 33 is odd; if you multiply them, the product is a multiple of 4, not a multiple of 4 plus 2.

  Posted by Charlie on 2006-06-03 13:09:50
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