[seqfan] Re: A005850 Primes p such that the NSW number A002315(p) is prime

David Applegate david at research.att.com
Fri Oct 19 15:46:18 CEST 2012


Based on http://mathworld.wolfram.com/NSWNumber.html, where
Eric Weisstein gave the results that extended the sequence in 2006-2007,
it appears that the real definition of A5850 is

Primes p such that the NSW number A002315((p-1)/2) is prime

Other than 2, this is equivalent to

Primes p such that A001333(p) is prime

David Applegate

> From seqfan-bounces at list.seqfan.eu Fri Oct 19 09:38:23 2012
> From: Charles Greathouse <charles.greathouse at case.edu>
> Date: Fri, 19 Oct 2012 09:37:42 -0400
> To: Sequence Fanatics Discussion list <seqfan at list.seqfan.eu>
> Subject: [seqfan] Re: A005850 Primes p such that the NSW number A002315(p)  is prime

> I assume the definition is wrong, since it seems that a number of
> people looked at this and agreed with each other. The discussion
> surrounding
> http://tech.groups.yahoo.com/group/primeform/message/438
> may illuminate.

> Charles Greathouse
> Analyst/Programmer
> Case Western Reserve University

> On Fri, Oct 19, 2012 at 9:20 AM, Jean-François Alcover
> <jf.alcover at gmail.com> wrote:
> > I get the same first values, so, what's incorrect, definition or data ?
> > jf
> >
> >
> > 12/10/19 Charles Greathouse <charles.greathouse at case.edu>
> >
> >> I concur -- the values I get from the definition are
> >>
> >> 2, 3, 23, 29, ...
> >>
> >> using
> >>
> >> forprime(p=2, 1e4, w=3+quadgen(32); if(ispseudoprime(imag((1+w)*w^p)),
> >> print1(p", ")))
> >>
> >> Charles Greathouse
> >> Analyst/Programmer
> >> Case Western Reserve University
> >>
> >> On Fri, Oct 19, 2012 at 7:02 AM, Jean-François Alcover
> >> <jf.alcover at gmail.com> wrote:
> >> > Dear SeqFans,
> >> >
> >> > Using the given definition I can't correctly recompute
> >> > A005850<https://oeis.org/A005850>
> >> >
> >> > Could someone please give me an example ?
> >> > Thanks in advance
> >> >
> >> > jfa
> >> >
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> >> >
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> >
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> >
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