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1+Sum of primes^-1 * (-1)^(PI)

  1. Oct 13, 2011 #1
    Is this series divergent and what is its name? If the series is not divergent, what is the constant named? Note that [itex]\pi[/itex] is the prime counting function, or number of primes.

    [tex]1+\sum_{p=primes}^{\infty}\frac{(-1)^{\pi}}{p}={1}-\frac{1}{2}+\frac{1}{3}-\frac{1}{5}+\frac{1}{7}-\frac{1}{11}...[/tex]

    Thanks :D
     
  2. jcsd
  3. Oct 13, 2011 #2

    mathman

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  4. Oct 13, 2011 #3
    Thanks.
     
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