Sum of prime rereciprocals?

[N. J. A. Sloane]

On Sun, Apr 27, 2008 at 10:00 AM, N. J. A. Sloane <njas at research.att.com> wrote:
>  dww> Why not just sum of reciprocals, e.g:
>  dww> a(n) = least k with sum(j = n..k; 1/j) >= 1.
>  dww> It's an interesting sequence, which starts
>  dww>    1,4,7,10,12,15,...
>  Me: this will be A103762 in a few minutes.

Neil,
did you take into account the reply from D.W.Cantrell:

>Yes, it's interesting. But except for the first term,
> all the terms of your sequence are simply 1 more than those of
> http://www.research.att.com/~njas/sequences/A136616

Maximilian




Is A120331 is duplicate of A038883 (with a Mma  program that uses the
wrong remainders and with a discrepancy between the list of remainders in
the defn and the example)?

Richard Mathar



Richard M. said:

Is A120331 is duplicate of A038883?

it should say that p is a square mod 13

Once that correction is made, the sequences
are identical by the law of quadratic reciprocity.

NJAS