[seqfan] Re: Sum n/prime(n)^2

Charles Greathouse charles.greathouse at case.edu
Fri Dec 5 07:00:42 CET 2014


Yes, I'll take care of the sequence when I push the calculations a bit
further.

Charles Greathouse
Analyst/Programmer
Case Western Reserve University

On Thu, Dec 4, 2014 at 10:14 PM, Neil Sloane <njasloane at gmail.com> wrote:

> I believe Charles's calculation of 1.1490642..., rather than the 1.106...
> value, since the remainder clearly cannot be ignored.  Also, I asked David
> Broadhurst,
> who had calculated A115563, and he did a quick calculation and got 1.14906.
>
> So I propose to put Charles's value as the new value,
> so as not to leave the erroneous version in place any longer.
>
> Charles, will you polish the entry when you get more terms, or a better
> bound on the error?
>
>
> Best regards
> Neil
>
> Neil J. A. Sloane, President, OEIS Foundation.
> 11 South Adelaide Avenue, Highland Park, NJ 08904, USA.
> Also Visiting Scientist, Math. Dept., Rutgers University, Piscataway, NJ.
> Phone: 732 828 6098; home page: http://NeilSloane.com
> Email: njasloane at gmail.com
>
>
> On Thu, Dec 4, 2014 at 8:05 PM, Hans Havermann <gladhobo at teksavvy.com>
> wrote:
>
> > Charles Greathouse:
> >
> > > a summation of the primes up to 10^10
> > > 1.10463086777...
> >
> > Here are five partial sums up to 1.25*10^9 primes (<=28794583627):
> >
> > 0.25*10^9   1.1033540385172011
> > 0.50*10^9   1.1048250449450470
> > 0.75*10^9   1.1056413954631700
> > 1.00*10^9   1.1062021315695429
> > 1.25*10^9   1.1066269604122258
> >
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