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Simple example of determining Pythagorean triples for product of two primes.

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  • Kermit Rose
    Hello Jayanta. Here is a simple example of how to calculate the two distinct Pythagorean triples for a product of two primes. If you can relate your method of
    Message 1 of 1 , Sep 22, 2009
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      Hello Jayanta.

      Here is a simple example of how to calculate the two distinct Pythagorean
      triples for a product of two primes.

      If you can relate your method of finding the distinct Pythagorean
      triples to
      this method, perhaps we together will have found a new relationship.



      65 = 5 * 13

      5 = 2**2 + 1**2
      13 = 3**2 + 2**2

      (2 + i)*(3 - 2 i)
      = (2 * 3 + 2 * 2) + (1*3 - 2 * 2) i
      = 8 - i

      65 = 8**2 + 1**2

      (2 + i) * (3 + 2 i)
      = (2 * 3 - 2 * 1) + (2 * 2 + 3 * 1)
      = 4 + 7 i

      65 = 4**2 + 7**2
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