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Topic: ----- ----- coprime integers
Replies: 2   Last Post: Dec 12, 2012 8:20 PM

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quasi

Posts: 10,450
Registered: 7/15/05
Re: ----- ----- coprime integers
Posted: Dec 12, 2012 3:30 PM
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Deep wrote:

>Situation:
>Let g, h, z be three coprime integers such that 2|h.
>Assertion:
>These four integers h, (3z -4h^2), g, (4g^2-3z) are also
>coprime.


If by coprime you mean relatively prime in pairs, then
the assertion is false. For example, let g=1, h=6, z=1.

On the other hand, if by coprime you just mean relatively
prime (not necessarily in pairs), then the assertion is
still false. For example, let g=3, h=6, z=1.

quasi



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