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Topic: ------ ------ ----- coprime integers
Replies: 2   Last Post: Sep 27, 2011 7:35 PM

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Deep Deb

Posts: 420
Registered: 12/6/04
------ ------ ----- coprime integers
Posted: Sep 24, 2011 7:58 PM
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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

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