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Equation in natural numbers

  1. Sep 24, 2008 #1


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    Hi, I was wondering if anyone could find a solution to this:


    in the natural numbers where not all variables are equal. I don't know how to make a computer program, but if it takes little time, I would really appreciate if I could have a solution to it.
  2. jcsd
  3. Sep 24, 2008 #2


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    Let a, b, and c be any square numbers, and let d, e, and f be defined so that the differences are zero. The rest is trivially obvious.

    If you want non-zero differences it will be more complicated.
  4. Sep 24, 2008 #3


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    Of course =) thanks (cant believe i didn't think of that)

    Any solution a,b,c,d,e,f gives a tetrahedron of side lengths a,b,c,d,e,f where a sphere may be located within touching all sides - if my calculations are correct.
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