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Proof about primes

  1. Jul 17, 2013 #1
    1. The problem statement, all variables and given/known data
    Prove that every prime of the form 4k+1 is a hypotenuse of a rectangular triangle with integer sides.
    3. The attempt at a solution
    I tried messing around with the Pythagorean theorem but not really sure where to go.
    [itex] x^2+y^2=(4k+1)^2 [/itex]
    it seems like there would exist x and y that make that true, but I haven't really said anything about the primes
     
  2. jcsd
  3. Jul 17, 2013 #2

    hilbert2

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