MathGroup Archive: October 2002 [00103]

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Re: Sum of 1/Primes

To: mathgroup at smc.vnet.net
Subject: [mg36979] Re: Sum of 1/Primes
From: Jens-Peer Kuska <kuska at informatik.uni-leipzig.de>
Date: Fri, 4 Oct 2002 05:01:15 -0400 (EDT)
Sender: owner-wri-mathgroup at wolfram.com

Hi,

> 
> This sum converges, see a math text book !

That's nonsense

http://mathworld.wolfram.com/PrimeSums.html

Regards
  Jens


> 
> On Wednesday 02 October 2002 09:31, Matthias.Bode at oppenheim.de wrote:
> > Dear Colleagues,
> >
> > I calculated:
> >
> > Sum[1/Prime[n], {n, 15000}] // N
> >
> > Result: 2.74716
> >
> > Now I wonder if this sum will converge or keep on growing, albeit very
> > slowly.
> >
> > Best regards,
> >
> > Matthias Bode
> > Sal. Oppenheim jr. & Cie. KGaA
> > Koenigsberger Strasse 29
> > D-60487 Frankfurt am Main
> > GERMANY
> > Tel.: +49(0)69 71 34 53 80
> > Mobile: +49(0)172 6 74 95 77
> > Fax: +49(0)69 71 34 95 380
> > E-mail: matthias.bode at oppenheim.de
> > Internet: http://www.oppenheim.de
> >
> >
> >

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