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

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Martin Shobe

Posts: 474
Registered: 3/11/12
Re: ----- ----- ----- conjecture
Posted: Jan 2, 2014 4:11 PM
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On 1/2/2014 3:04 PM, quasi wrote:
> 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?


Well, um, that would shoot a rather large hole into the proof.

Martin Shobe




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