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Math Help - p,q are prime numbs and a is positive integer

  1. #1
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    p,q are prime numbs and a is positive integer

    Hi, I am not able to solve this equation. Can anybody help?

    (p*q)/(p+q)=((a^2)+1)/(a+1)
    "p", "q" are prime numbers and "a" is positive integer

    My task is to find all possible pairs of p,q for this equatition.

    Thanks in advance!
    Last edited by jack59; December 2nd 2012 at 05:30 AM.
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  2. #2
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    Re: p,q are prime numbs and a is positive integer

    I've already rewritten that as:
    p*q*a - p*a^2 - q*a^2 = -p*q + p + q
    and I found that one solution is {p=2,q=2,a=1}

    How to find another possible solutions?
    Last edited by jack59; December 2nd 2012 at 05:32 AM.
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