[seqfan] Re: parametric integer functions with GCD[f1,f2,f3]=1

[Maximilian Hasler]

What property do you want for the functions f1,f2,f3 ?
I assume at least limit = infinity (else you can take f1=f2=f3=1).

The requirement of gcd=1 is very easy to satisfy,
in particular 2 of the 3 may be the same
(eg. f1(n)=f2(n)=2^n, f3(n)=3^n)

Maximilian

On Tue, Nov 11, 2008 at 10:32 AM, Artur <grafix at csl.pl> wrote:
> Dear Seqfans,
>
> I'm looking for one (or more) parametric 3 integer functions such that
> GCD[f1,f2,f3]=1 for every value of parameter
> Example of these is e.g. :
> GCD[Prime[x]^2+(Prime[x]-1)^2,  Prime[x]^2-(Prime[x]-1)^2, 2 Prime[x]^2
> (Prime[x]-1)]=1
> I'm looking for another. If sombody know these let me know!
>
> Best wishes
> Artur
>
>
>
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