[seqfan] Re: An interesting sequence connected with primes

[Charles Greathouse]

Those are instances using the same prime. The next prime after 2*58+1 is
127, which is also the next prime after 2*57+1. These are within 1 because
11 is within 2 of 13.

Charles Greathouse
Analyst/Programmer
Case Western Reserve University


On Wed, Sep 25, 2013 at 9:16 AM, Vladimir Shevelev <shevelev at bgu.ac.il>wrote:

> Dear SeqFans,
>
> I would like to discuss an astonishing behavior of the following sequence
> connected with primes ( I submitted it as A229512):
> a(n) is the minimal k, such that nextprime(2*k+1)-2*k=prime(n). It begins
>
>
> 0,1,3,11,58,57,262,261,564,666,665,4775,7843,7842,9807,9804,15705,15704,15701,15699,15698,
>
> 77964,77962,180330,180326,185136,185135,185133,185132,185130,678603,678601,1005372,
> 1005371,1005366,2326178,8525865,8525862,...
>
> It is interesting the distribution of terms over gropes of close
> magnitudes. For example, 58,57; 9807,9804;, 15704,15701,15699,15698; etc.
> Could anyone to give an explanation?
>
> Best regards,
> Vladimir
>
>  Shevelev Vladimir
>
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