[seqfan] Re: Sequence not in OEIS?

[Veikko Pohjola]

Thanks, 
OK, I will. To make the set complete.
Veikko

Charles Greathouse kirjoitti 23.8.2013 kello 19.39:

> 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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