[seqfan] Re: Sequence not in OEIS?

[Charles Greathouse]

This happens when the n-th prime is equivalent to 2 mod n+1, right? Seems
like all three (prime, index, gap) would be of interest. But probably some
are already in. Let me check.

Yes, it looks like A049038 and A049036 handle two of them. Would you submit
the third and reference those two?

Charles Greathouse
Analyst/Programmer
Case Western Reserve University


On Fri, Aug 23, 2013 at 2:51 AM, Veikko Pohjola <veikko at nordem.fi> wrote:

> Related to this: average gap is integer
>
> 1, 3, 5, 7, 7, 9, 13, 13, 13, 15, 15, 19, 19, 19, 19, 19, …
>
> Not in OEIS but probably of no interest.
>
> Veikko
>
>
> Giovanni Resta kirjoitti 22.8.2013 kello 9.40:
>
> > On 08/22/2013 03:14 AM, David Wilson wrote:
> >> When I calculate the sequence
> >> Smallest prime p where average gap between primes<= p is>= n
> >> Are my calculations wrong or is the sequence just not in the OEIS?
> >
> > Your computation is correct. The sequence continues as
> >
> > 3, 11, 29, 127, 337, 1087, 3061, 8419, 23531, 64553, 175211, 480881,
> > 1304503, 3523901, 9557957, 25874767, 70115473, 189961193, 514272413,...
> >
> > Up to prime(k), average gap is actually equal to (prime(k)-2)/(k-1),
> > so this sequence is in spirit (and also in terms) very similar to
> > A038607, which is the sequence of smallest primes prime(k) for which
> > prime(k)/k >= n and begins with
> >
> > 2, 11, 37, 127, 347, 1087, 3109, 8419, 24317, 64553, 175211, 480881,
> 1304707, 3523901, 9558533, 25874843, 70115473, 189961529, 514272533,...
> >
> > Giovanni
> >
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