[seqfan] Re: Sequence not in OEIS?

[Neil Sloane]

Ed, I hope you will submit that sequence(s)!
Neil


On Thu, Aug 22, 2013 at 1:45 AM, L. Edson Jeffery <lejeffery2 at gmail.com>wrote:

> >When I calculate the sequence
>
> >Smallest prime p where average gap between primes <= p is >= n
>
> >I get
>
> >3,11,29,127,337,...
>
> >indexed starting at n = 1.  Are my calculations wrong or is the sequence
> just not in the OEIS?
>
>
> Very nice sequence! The terms listed are correct (verified by hand) and not
> in OEIS. A couple of comments:
>
> For reference, the gaps are A001223 <http://oeis.org/A001223>, and their
> partial sums are A040976 <http://oeis.org/A040976> in which
>
> A040976(n) = A000040 <http://oeis.org/A000040>(n)-2.
>
> We at least have to have p > m^2, for some m >= n, so the largest m such
> that your a(n) > m^2 is the sequence
>
> 1,3,5,11,18,...
>
> These are the first five terms of A070316 <http://oeis.org/A070316> which
> is probably not related (I did not explore it further). Finally, the
> sequence of indices of your a(n) (in A00040) is
>
> 2,5,10,31,68,...
>
> Ed Jeffery
>
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Neil J. A. Sloane, President, OEIS Foundation
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