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

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quasi

Posts: 10,195
Registered: 7/15/05
Re: ----- ----- ----- conjecture
Posted: Jan 2, 2014 4:04 PM
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Martin Shobe 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.

>
>Well, z-x | z^p - x^p, so z-x | 2y^2.
>
>Therefore z-x | 2 or z-x | y.


Justifucation?

quasi



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