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Sorta pythagoric...(2) (Posted on 2012-05-26) Difficulty: 3 of 5
Given that each of x, y and z is a positive integer, it is observed that the equation 5x + 12y = 13z is satisfied for x=y=z=2.

Does there exist any further solution?

No Solution Yet Submitted by K Sengupta    
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Question | Comment 3 of 5 |
I notice that x, y and z are not necessarily distinct.

I understand that Fermat's Last Theorem states that no three positive integers a, b, and c can satisfy the equation an + bn = cn for any integer value of n greater than two.

My question is, does the same  concept necessarily hold if the indices are not the same?

  Posted by brianjn on 2012-05-28 03:14:08
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