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RE: [PrimeNumbers] Sum of reciprocals of primes

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  • Chris Caldwell
    (Ah, I was thinking of an assignment I give my students on card stacking related to the harmonic series and gave the wrong answer completely!) ... From:
    Message 1 of 5 , Jan 10, 2011
      (Ah, I was thinking of an assignment I give my students on card stacking
      related to the harmonic series and gave the wrong answer completely!)

      -----Original Message-----
      From: primenumbers@yahoogroups.com [mailto:primenumbers@yahoogroups.com]
      On Behalf Of Andrey Kulsha
      Sent: Monday, January 10, 2011 6:52 PM
      To: PrimeNumbers@...
      Subject: Re: [PrimeNumbers] Sum of reciprocals of primes

      > How far out in the sequence,
      > sum of reciprocals of primes,
      >
      > 1/2, 1/2+1/3, 1/2+1/3+1/5,...
      >
      > do you need to go,
      > to reach a term that exceeds 5?

      Up to 3.7*10^47 terms:
      http://en.wikipedia.org/wiki/Meissel%E2%80%93Mertens_constant

      Best regards,

      Andrey

      [Non-text portions of this message have been removed]



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