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

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 ]
Pubkeybreaker

Posts: 1,412
Registered: 2/12/07
Re: ----------- relatively prime integers
Posted: Sep 18, 2011 7:25 AM
  Click to see the message monospaced in plain text Plain Text   Click to reply to this topic Reply

On Sep 17, 11:28 pm, William Elliot <ma...@rdrop.com> wrote:
> 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.

>
> ----


It is much simpler. Note that GCD(a,b) = GCD(a-b, b)........



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.