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Math Help - Quick question

  1. #1
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    Quick question

    I got a "mini-project" i have to present to my teacher @ college.

    I have to prove this:

    \displaystyle\lim_{n\to\infty}\displaystyle\sum_{n  =1}^{\infty}\frac{1}{p_n} where p_n is the n-th prime number, is divergent.

    I don't want an elaborate explanation here on this forums, i just want to know where can i find some documentation about this limit/series and learn and understand the method to prove it.

    I don't really know how to look for this series so i figured I'd ask on this forum :P.
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  2. #2
    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by Utherr View Post
    I got a "mini-project" i have to present to my teacher @ college.

    I have to prove this:

    \displaystyle\lim_{n\to\infty}\displaystyle\sum_{n  =1}^{\infty}\frac{1}{p_n} where p_n is the n-th prime number, is divergent.

    I don't want an elaborate explanation here on this forums, i just want to know where can i find some documentation about this limit/series and learn and understand the method to prove it.

    I don't really know how to look for this series so i figured I'd ask on this forum :P.
    i think you posted the problem wrong. look back at what you typed and make sure it is correct
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  3. #3
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    Ok, i meant prove that the series diverge, i got an old math book which mentions this series but with no demonstration (it only says Euler in parenthesis).
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