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Re: Sum of 1/Primes


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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