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Math Help - Pythagorean triple

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    Pythagorean triple

    Prove that in a primitive Pythagorean triple x, y, z, the product xy is divisible by 12, hence 60|xyz.
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    Quote Originally Posted by cathwelch View Post
    Prove that in a primitive Pythagorean triple x, y, z, the product xy is divisible by 12, hence 60|xyz.
    Try to use the following results:
    Any pythogorean triple is of the form x = m^2 - n^2, y = 2mn and z = m^2 + n^2 where m and n are of different parity.
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