Sum of prime rereciprocals?

[David 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

David

----- Original Message ----- 
From: "David W. Wilson" <wilson.d at anseri.com>
To: <seqfan at ext.jussieu.fr>
Sent: Monday, April 14, 2008 14:08
Subject: RE: Sum of prime rereciprocals?


> Why not just sum of reciprocals, e.g:
>
> a(n) = least k with sum(j = n..k; 1/j) >= 1.
>
> It's an interesting sequence, which starts
>
>   1,4,7,10,12,15,...
>
> If you compare it to [en] = A022843
>
>   2,5,8,10,13,16,...
>
> it appears that [en]-a(n) =
>
>   1,1,1,0,1,1,1,1,1,1,0,...
>
> consists of 0's and 1's.
>
> The places where the zeroes occur are
>
>    4, 11, 18, 25, 32, 36, 43, 50, 57, 64, 71, ...
>
> whose differences always seem to be 4, 7 or 11.