quasi
Posts:
12,049
Registered:
7/15/05


Re:   coprime integers
Posted:
Dec 12, 2012 3:30 PM


Deep wrote:
>Situation: >Let g, h, z be three coprime integers such that 2h. >Assertion: >These four integers h, (3z 4h^2), g, (4g^23z) 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

