From: sfinch@mathsoft.com
Newsgroups: sci.math
Subject: Re: Sum of Series = 1.9021605778 ?
Date: Mon, 30 Nov 1998 19:36:07 GMT

1.9021605778... is the estimate Thomas Nicely gave to Brun's constant

   http://www.mathsoft.com/asolve/constant/brun/brun.html

using all twin primes up to 10^14.  A more recent computation, using
all twin primes up to 2.5 * 10^14, gave an estimate 1.9021605803...
See

   R. K. Guy, Nothing's new in number theory?,
   Amer. Math. Monthly 105 (1998) 951-954

(which I have yet to update my web page about!)

                                                     Steve Finch



In article <3662432C.66E2@physics.uwa.edu.au>,
  paul@physics.uwa.edu.au wrote:
> mert0236@sable.ox.ac.uk wrote:
>
> > But seriously, how did you do it? LLL methods are fine if you've got
> > enough precision, which we don't seem to have in this case, ...
>
> Along this line, you can always do a search at the Inverse Symbolic
> Calculator,
>
> 	http://www.cecm.sfu.ca/projects/ISC/ISCmain.html
>
> No closed form sum is found.
>
> Cheers,
> 	Paul
>

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