[seqfan] Re: Smallest prime of form k*p(n) + 1

Max Alekseyev maxale at gmail.com
Thu Oct 20 22:13:34 CEST 2011


Similarly, if A035095(n) < prime(n)*prime(n-1), then A125878 and
A035095 coincide.
Max

On Thu, Oct 20, 2011 at 8:54 PM, Ray Chandler
<rayjchandler at sbcglobal.net> wrote:
>> 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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