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Topic: Fermat's Last Theorem for odd n and any nonzero x,y,z
Replies: 9   Last Post: Sep 15, 2013 1:10 PM

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gnasher729

Posts: 418
Registered: 10/7/06
Re: Fermat's Last Theorem for odd n and any nonzero x,y,z
Posted: Aug 16, 2013 6:21 AM
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On Friday, August 16, 2013 5:52:30 AM UTC+1, lookskywalker wrote:
> Has it been proven that for odd integer n greater than 1, that
>
> x^n + y^n = z^n has no solutions where x,y,z are all nonzero?


Fermat's Last Theorem is exactly this for _positive_ x, y, z.

Now say you had a solution where one of x, y, z is negative. Could you possibly use this to create a counterexample to Fermat's Last Theorem?



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