[seqfan] Re: (no subject)

Allan Wechsler acwacw at gmail.com
Wed Dec 6 20:53:57 CET 2017


At the moment, I cannot reach OEIS. But coincidentally I ran into primes of
this class in a completely different context, only yesterday. Wikipedia, at
least, calls them "Pierpont primes", primes p such that p-1 is 3-smooth.
The article https://en.wikipedia.org/wiki/Pierpont_prime attributes to
Andrew Gleason the conjecture that there are infinitely many Pierpont
primes. Curiously, the article refers to the sequence A005109, not A058383;
I can't investigate this discrepancy until OEIS starts answering the phone
for me.

On Wed, Dec 6, 2017 at 1:45 PM, Hugo Pfoertner <yae9911 at gmail.com> wrote:

> In the range 1<=a,b<=500 there are 2111 primes of this form. Large
> examples: 1+(2^498)*(3^493) or 1+(2^994)*(3^993). Why should there be a
> limit?
>
> Hugo Pfoertner
>
> On Wed, Dec 6, 2017 at 6:51 PM, Frank Adams-Watters via SeqFan <
> seqfan at list.seqfan.eu> wrote:
>
> > Is https://oeis.org/A058383 (Primes of form 1+(2^a)*(3^b)) infinite?
> >
> > Franklin T. Adams-Watters
> >
> >
> > --
> > Seqfan Mailing list - http://list.seqfan.eu/
> >
>
> --
> Seqfan Mailing list - http://list.seqfan.eu/
>



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