
Re:  relatively prime integers
Posted:
Sep 17, 2011 11:28 PM


On Sat, 17 Sep 2011, Deep wrote:
> Let x and y be two integers each > 0 such that x and y > are coprime and 2y.
> Conjecture: (x + y ) , (x  y) ,y , x are coprime integers.
If prime p  x+y, xy, 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.


