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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: solution | Comment 3 of 4 |
(In reply to solution by xdog)

"If x=2, LHS is even so z=2"

There must be some missing steps here; the left side being even would only require that z be even, not that it be 2.

  Posted by Charlie on 2014-03-13 08:36:18
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