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