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Math Help - Another squares problem

  1. #1
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    Another squares problem

    How many pairs of distinct positive integers a, b: (b > a) exist such that (a^2 + 1)(b^2 + 1) is a square?
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  2. #2
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    Quote Originally Posted by icemanfan View Post
    How many pairs of distinct positive integers a, b: (b > a) exist such that (a^2 + 1)(b^2 + 1) is a square?
    start with this identity: (a^2+1)(b^2+1)=(ab \pm 1)^2+(a \mp b)^2.
    Last edited by NonCommAlg; February 15th 2010 at 01:41 AM.
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