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24213Re: Puzzle of sum to composite

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  • WarrenS
    Apr 15, 2012
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      --- In primenumbers@yahoogroups.com, Kermit Rose <kermit@...> wrote:
      >
      > Hello Friends.
      >
      > Prove that every positive composite integer can be expressed as a sum of
      > 4 positive integers
      > such that the product of the 4 positive integers is a square integer.
      >
      > Kermit


      --every positive integer is a sum of 4 squares (Fermat, Euler, Lagrange);
      the product of 4 squares is a square.
      QED.

      Note the word "composite" was not required.
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