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

[Charles Greathouse]

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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