Drexel dragonThe Math ForumDonate to the Math Forum



Search All of the Math Forum:

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


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

Topic: ----------- relatively prime integers
Replies: 2   Last Post: Sep 18, 2011 7:25 AM

Advanced Search

Back to Topic List Back to Topic List Jump to Tree View Jump to Tree View   Messages: [ Previous | Next ]
William Elliot

Posts: 248
Registered: 10/7/08
Re: ----------- relatively prime integers
Posted: Sep 17, 2011 11:28 PM
  Click to see the message monospaced in plain text Plain Text   Click to reply to this topic Reply

On Sat, 17 Sep 2011, Deep wrote:

> Let x and y be two integers each > 0 such that x and y
> are coprime and 2|y.


> Conjecture: (x + y ) , (x - y) ,y , x are coprime integers.

If prime p | x+y, x-y, then p | 2x, 2y.
If not p | 2, then p | x,y, so p = 2.
Consequently 2 | x+y, which's a no, no.

> It seems the conjecture is intuitavely correct. Any convincing
> argument will be appreciated.


----



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

[Privacy Policy] [Terms of Use]

© Drexel University 1994-2014. All Rights Reserved.
The Math Forum is a research and educational enterprise of the Drexel University School of Education.