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Math Help - Rep unit problem

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    Rep unit problem

    Just doing a little studying for finals. Can someone help me prove that a rep unit cannot be expressed as the sum of the squares of two natural numbers
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  2. #2
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    Quote Originally Posted by MichaelG View Post
    Just doing a little studying for finals. Can someone help me prove that a rep unit cannot be expressed as the sum of the squares of two natural numbers
    Hint: a repunit is congruent to 3 mod 4.
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