The Math Forum

Search All of the Math Forum:

Views expressed in these public forums are not endorsed by NCTM or The Math Forum.

Math Forum » Discussions » sci.math.* » sci.math

Notice: We are no longer accepting new posts, but the forums will continue to be readable.

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

Advanced Search

Back to Topic List Back to Topic List Jump to Tree View Jump to Tree View   Messages: [ Previous | Next ]
Deep Deb

Posts: 420
Registered: 12/6/04
----- ----- ----- property of three coprime numbers
Posted: Jan 17, 2014 2:16 PM
  Click to see the message monospaced in plain text Plain Text   Click to reply to this topic Reply

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.

Point your RSS reader here for a feed of the latest messages in this topic.

[Privacy Policy] [Terms of Use]

© The Math Forum at NCTM 1994-2018. All Rights Reserved.