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