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Topic: ----- ----- ----- Modified Conjecture
Replies: 2   Last Post: Jan 3, 2014 5:42 PM

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Deep Deb

Posts: 390
Registered: 12/6/04
----- ----- ----- Modified Conjecture
Posted: Jan 3, 2014 11:32 AM
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This is a modified version of the previous posting with a specific exponent.

Consider (1) below for the given conditions.

a^5 - b^5 = 2c^2 (1)

Conditions: a, b, c are co prime integers, 10|c; a > b > 0.

CONJECTURE: (1) can not be satisfied under the given conditions.

A simple numerical analysis will help understand the comments upon the previous posting where the exponent is a prime p > 3

Any helpful analysis about the correctness of the conjecture will be gratefully appreciated.




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