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

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Deep Deb

Posts: 393
Registered: 12/6/04
Re: ----- ----- ----- conjecture
Posted: Jan 2, 2014 6:01 PM
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On Thursday, January 2, 2014 11:40:09 AM UTC-5, Deep wrote:
> Consider (1) below for the given conditions
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> z^p - x^p = 2y^2 (1)
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> Conditions: z, x, y are co prime integers taken two at a time, 2|y, prime p > 3, z > x > y > 0.
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> Conjecture: (1) can not be satisfied for the given conditions.
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> Any helpful comment upon the correctness of the Conjecture will be appreciated.
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> Relevant references about the properties of (1) will be very helpful.





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