[seqfan] Re: Sequence not in OEIS?

[Veikko Pohjola]

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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