[seqfan] Re: Smallest prime of form k*p(n) + 1
Ray Chandler
rayjchandler at sbcglobal.net
Thu Oct 20 18:54:35 CEST 2011
> Is A125878 the same as A035095? R. J. Mathar conjectures that it is; Ray
> Chandler verifies this for the first million terms.
Similarly for A066674, I have extended Donovan Johnson's comparison to 10^6
terms - all three sequences agree to that limit.
>From the Formula section of A035095, there is mention of a long-standing
conjecture from the Wagstaff link, a(n) <= prime(n)^2+1.
In looking at the Wagstaff reference, I see mention of a conjecture from
Kanold that is equivalent to a(n) < prime(n)^2.
As I see it, A035095 and A066674 are the same (and A035096= A066675) iff
this Kanold conjecture is true.
Ray
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