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Re: Sum of 1/Primes

• To: mathgroup at smc.vnet.net
• Subject: [mg37093] Re: Sum of 1/Primes
• From: "Robert G. Wilson v" <rgwv at kspaint.com>
• Date: Wed, 9 Oct 2002 05:25:44 -0400 (EDT)
• Organization: Kansas Paint & Color Co.
• References: <anor85$pnv$1@smc.vnet.net>
• Sender: owner-wri-mathgroup at wolfram.com

You need to see: 
http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?Anum=A016088


Jens-Peer Kuska wrote:

>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
>>>
>>>
>>>