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Diophantine Pair Decision (Posted on 2016-08-13) Difficulty: 3 of 5
Each of X and Y is a distinct positive integer, such that:
  1. X and Y are relatively prime, and:
  2. Each of (X2 – 12)/Y and (Y2 – 12)/X is an integer.
Does there exist an infinite numbers of pairs (X,Y) satisfying the given conditions?

Give reasons for your answer.

No Solution Yet Submitted by K Sengupta    
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  Subject Author Date
SolutionPossible solutionbroll2016-08-14 05:01:27
Hints/TipsOEIS to save the day!Brian Smith2016-08-13 21:44:57
Some ThoughtsDead Ends?Steve Herman2016-08-13 20:03:47
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