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

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Deep Deb

Posts: 420
Registered: 12/6/04
----- ----- ----- conjecture
Posted: Jan 2, 2014 11:40 AM
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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.

Relevant references about the properties of (1) will be very helpful.

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