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Prime Equation (Posted on 2014-03-12) Difficulty: 3 of 5
Determine all possible triplets (x,y,z) of prime numbers satisfying:

x2 + 37*x*y = z3 + 1656

Prove that there are no others.

No Solution Yet Submitted by K Sengupta    
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re(2): solution Comment 4 of 4 |
(In reply to re: solution by Charlie)

"the left side being even would only require that z be even, not that it be 2."

The puzzle is looking for triplets of prime numbers, so if z is required to be even, it must be 2.

  Posted by tomarken on 2014-03-13 08:43:22
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