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Topic: ----- ----- ----- property of three coprime numbers
Replies: 2   Last Post: Jan 17, 2014 8:18 PM

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Deep Deb

Posts: 393
Registered: 12/6/04
----- ----- ----- property of three coprime numbers
Posted: Jan 17, 2014 2:16 PM
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consider three odd integers z, x, p each > 1 where z, x, p are coprime integers, prime p > 2.
Conjecture: The following two conditions cannot be satisfied.

Condition-1: p^p|(z^p-x^p); Condition-2: p^(2p)|(z^p-x^p)

Any helpful comments upon the correctness of the conjecture will be appreciated.



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