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Topic: ----- ----- ----- conjecture
Replies: 8   Last Post: Jan 2, 2014 6:12 PM

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quasi

Posts: 10,305
Registered: 7/15/05
Re: ----- ----- ----- conjecture
Posted: Jan 2, 2014 4:52 PM
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quasi wrote:
>Deep wrote:
>>
>>Consider (1) below for the given conditions
>>
>>z^p - x^p = 2y^2 (1)
>>
>>Conditions: z, x, y are co prime integers taken two at a time,
>>2|y, prime p > 3, z > x > y > 0.
>>
>>Conjecture: (1) can not be satisfied for the given conditions.
>>
>>Any helpful comment upon the correctness of the Conjecture
>>will be appreciated.

>
>It's probably correct, but so what?
>
>Here's a more general conjecture ...
>
>Let p be an odd prime and let
>
> f(x,y) = x^p - y^p
>
>restricted t
>
>Conjecture:
>
>If f is restricted to
>
>If y,z are coprime positive integers with y < z then the
>function
>
> f(y,z) = y


Sorry -- I meant to delete the post and hit send by accident.

It was a meaningless conjecture anyway, so I won't finish it.

quasi



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