[seqfan] Re: Wieferich, Wilson and Wolstenholme primes less than 10^n

[Felix Fröhlich]

The search bound for Wolstenholme primes is now mentioned in A088164.

Felix


2014-08-26 17:52 GMT+02:00 Charles Greathouse <charles.greathouse at case.edu>:

> Feel free to edit the sequences to give the search bound!
>
> Charles Greathouse
> Analyst/Programmer
> Case Western Reserve University
>
>
> On Wed, Aug 20, 2014 at 1:39 AM, Felix Fröhlich <felix.froe at googlemail.com
> >
> wrote:
>
> > Yes, I agree that the sequences themselves are not particularly
> > interesting. I note that the search bounds are already in A001220
> > and A007540. The search bound for Wall-Sun-Sun primes is mentioned in
> > A244801. The next term of A088164 must be larger than 10^9 as established
> > by McIntosh and Roettger, although currently that isn't explicitly stated
> > on the sequence page.
> >
> >
> > 2014-08-20 4:47 GMT+02:00 Charles Greathouse <
> charles.greathouse at case.edu
> > >:
> >
> > > So all of the underlying sequences -- Wiefrich primes, Wilson primes,
> and
> > > Wolstenholme primes -- are interesting. (If you needed more W* primes,
> > > consider Wall-Sun-Sun primes.) The trouble is just that the sequences
> are
> > > (1) hard to look up, (2) not of themselves very interesting, and (3)
> > > base-dependent. When there are sequences it's best to keep information
> > > there.
> > >
> > > Charles Greathouse
> > > Analyst/Programmer
> > > Case Western Reserve University
> > >
> > >
> > > On Tue, Aug 19, 2014 at 6:17 PM, Neil Sloane <njasloane at gmail.com>
> > wrote:
> > >
> > > > The rejected sequences all had a LOT of zero terms, and one or two or
> > in
> > > > one case three nonzero terms.  Considered purely as sequences, they
> > were
> > > > not very interesting, and did not warrant
> > > > having their own entries.
> > > >
> > > > A sequence like 0 0 0 0 0 0 0 0 1 doesn't deserve its own entry.
> > > > That probably was not one of yours, but it is similar.
> > > >
> > > > The best thing to do is to add the content of the sequence as a
> comment
> > > on
> > > > the underlying sequence.
> > > >
> > > > Say as a comment, not as a new sequence, that *****  is 1 1 1
> > 0,0,0,0,...
> > > >
> > > > Best regards
> > > >
> > > > Neil
> > > >
> > > >
> > > > On Tue, Aug 19, 2014 at 12:39 PM, Felix Fröhlich <
> > > > felix.froe at googlemail.com>
> > > > wrote:
> > > >
> > > > > Hi,
> > > > >
> > > > > I recently drafted four sequences, whose addition to the OEIS was
> > > > rejected.
> > > > > I am not complaining about the rejection, but I would like to
> gather
> > > some
> > > > > opinions on whether such sequences in general should be in the OEIS
> > or
> > > > not.
> > > > > The sequences gave the number of Wall-Sun-Sun, Wieferich, Wilson
> and
> > > > > Wolstenholme primes in the interval [10^n, 10^(n+1)] (see A244801,
> > > > A001220,
> > > > > A007540 and A088164 for definitions of these primes).
> > > > >
> > > > > All of those sequences consisted of a lot of zeros. There is
> > currently
> > > no
> > > > > known Wall-Sun-Sun prime and it is an open problem whether any such
> > > prime
> > > > > exists. The sequence for Wilson primes for example started (with
> > offset
> > > > 0)
> > > > > 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.
> > > > >
> > > > > My question is, should those sequences be in the OEIS, maybe in
> > another
> > > > > form? In order to avoid the many zeros, the definition could be
> > changed
> > > > to
> > > > > "a(n) = number of W...... primes less than 10^n". For the Wilson
> > > primes,
> > > > > for example, this would give the sequence (with offset 1): 1, 2, 3,
> > 3,
> > > 3,
> > > > > 3, 3, 3, 3, 3, 3, 3, 3
> > > > >
> > > > > Further terms are currently unknown. The latest search went to
> > 2*10^13
> > > > > according to the results reported in
> http://arxiv.org/abs/1209.3436
> > > > >
> > > > > Would those adjusted sequences make sense?
> > > > >
> > > > >
> > > > > Regards,
> > > > >
> > > > > Felix
> > > > >
> > > > > _______________________________________________
> > > > >
> > > > > Seqfan Mailing list - http://list.seqfan.eu/
> > > > >
> > > >
> > > >
> > > >
> > > > --
> > > > Dear Friends, I have now retired from AT&T. New coordinates:
> > > >
> > > > Neil J. A. Sloane, President, OEIS Foundation
> > > > 11 South Adelaide Avenue, Highland Park, NJ 08904, USA.
> > > > Also Visiting Scientist, Math. Dept., Rutgers University, Piscataway,
> > NJ.
> > > > Phone: 732 828 6098; home page: http://NeilSloane.com
> > > > Email: njasloane at gmail.com
> > > >
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