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

 Messages: [ Previous | Next ]
 quasi Posts: 12,067 Registered: 7/15/05
Re: ----- ----- ----- conjecture
Posted: Jan 2, 2014 4:08 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?

I meant:

Justification?

quasi

Date Subject Author
1/2/14 Deep Deb
1/2/14 Martin Shobe
1/2/14 quasi
1/2/14 quasi
1/2/14 Martin Shobe
1/2/14 quasi
1/2/14 quasi
1/2/14 Deep Deb
1/2/14 Deep Deb