Date: Sep 24, 2011 7:58 PM
Author: Deep Deb
Subject: ------   ------   ----- coprime integers

Let a, b be two coprime integers such that 2|b
Statement: a, b, a+b, a - b are all coprime integers.

Justification of the statement:

There exista one prime p such that p|a
Since p|a and p doesnot divide b then p cannot divide (a + b).
By similar argument p does not divide(a - b).
Consequently, a, b, a + b, a - b are all coprime integers.

Any comment about the ccorrectness of the Statement will be
appreciated.