Date: Mar 26, 2013 12:47 AM
Author: William Elliot
Subject: Re: -----  conjecture on a diophantine equation

On Sun, 24 Mar 2013, Deep wrote:

Don't use ----- three times, once is more than enough.

> Consider the following equation under the given conditions.
>
> x^2k + y^2k = z^2k (1)
>
> Conditions: x, z are coprime odd integers, prime k > 3
> Conjecture: y^k = U^(1/2) where U is a non-square integer.


False. x = z = 1; y = 0