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Math Help - modulo stuff

  1. #1
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    modulo stuff

    Hey all,

    I'm trying to find every k for which this is true: mn \equiv m^2+n^2 (mod_k) \Longleftrightarrow m=n=0. I'm actually not sure if there are any, and I have no idea how to proceed. Anyone...?

    Thank you!!
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  2. #2
    Senior Member
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    Did you mean m=n=0 or just m==n==0 mod k? If the latter then consider, for example, the difference between k = 7 and k = 11.
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