Re: Sum of 1/Primes

*To*: mathgroup at smc.vnet.net*Subject*: [mg36952] Re: Sum of 1/Primes*From*: "David W. Cantrell" <DWCantrell at sigmaxi.org>*Date*: Thu, 3 Oct 2002 00:16:32 -0400 (EDT)*References*: <ane7i5$ka7$1@smc.vnet.net>*Sender*: owner-wri-mathgroup at wolfram.com

Matthias.Bode at oppenheim.de wrote: > 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. The latter. It is a well known fact that the series diverges (which, by the way, shows that there are infinitely many primes :-). David -- -------------------- http://NewsReader.Com/ -------------------- Usenet Newsgroup Service