Recent content by ClaytonB

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    Graduate Is the sum of all primes = 13?

    Ah, I get it, when Re(s) < -1, it satisfies the criterion for convergence of the Riemann zeta function - yes, this is not the zeta function but I can see it's closely related to it - so there's probably a way to prove that "If Riemann zeta function converges at s then Sum p^s converges at -s"...
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    Graduate Is the sum of all primes = 13?

    How come this doesn't diverge, even though s is complex? If Im(s) = 0, then it seems like it must be divergent.
  3. C

    Graduate Is the sum of all primes = 13?

    Crap. Oh well, so much for that.
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    Graduate Is the sum of all primes = 13?

    I posted this to Dr. Math but I'm too excited to wait for their response. OK, so start with the following equation, http://en.wikipedia.org/wiki/1_%2B_2_%2B_3_%2B_4_%2B_%E2%80%A6#Summability" by Ramanujan and Euler: 1 + 2 + 3 + 4 + ... = -1/12 Weird, yes, but there are...