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
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