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

Artur grafix at csl.pl
Tue Nov 11 15:32:58 CET 2008


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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