Mathematica 9 is now available
Services & Resources / Wolfram Forums
-----
 /
MathGroup Archive
2002
*January
*February
*March
*April
*May
*June
*July
*August
*September
*October
*November
*December
*Archive Index
*Ask about this page
*Print this page
*Give us feedback
*Sign up for the Wolfram Insider

MathGroup Archive 2002

[Date Index] [Thread Index] [Author Index]

Search the Archive

RE: Sum of 1/Primes

  • To: mathgroup at smc.vnet.net
  • Subject: [mg36959] RE: [mg36910] Sum of 1/Primes
  • From: David Turner <dturner at faulkner.edu>
  • Date: Thu, 3 Oct 2002 00:16:47 -0400 (EDT)
  • Sender: owner-wri-mathgroup at wolfram.com

The sum diverges.  See Elementary Number Theory, 5th edition by David M.
Burton, pages 355-356.

-----Original Message-----
From: Matthias.Bode at oppenheim.de [mailto:Matthias.Bode at oppenheim.de]
To: mathgroup at smc.vnet.net
Subject: [mg36959] [mg36910] Sum of 1/Primes


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



  • Prev by Date: Re: Sum of 1/Primes
  • Next by Date: Re: Sum of 1/Primes
  • Previous by thread: Re: Sum of 1/Primes
  • Next by thread: Re: Sum of 1/Primes