
   coprime integers
Posted:
Sep 24, 2011 7:58 PM


Let a, b be two coprime integers such that 2b Statement: a, b, a+b, a  b are all coprime integers.
Justification of the statement:
There exista one prime p such that pa Since pa 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.

