I just can't see to figure this out.

Consider function as follows:

Prove by induction that for all that and are relatively prime.

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- Feb 17th 2009, 08:42 PMVENITricky induction proof
I just can't see to figure this out.

Consider function as follows:

Prove by induction that for all that and are relatively prime. - Feb 17th 2009, 10:37 PMThePerfectHacker
If give you a hint to get you started. Say that and where not relatively prime then there is a prime so that divides . However, and so would divide . Which means that a common factor for . Thus, we have shown is that if are relatively prime then must be relatively prime.