Thursday, February 28, 2013

Riemann zeta function values relate to Prime numbers

Question:
http://answers.yahoo.com/question/index?qid=20130228142759AA9J7LK

How do Riemann zeta function values relate to Prime numbers?

With reference to Riemann Hypothesis,

First few values of Riemann zeta function for non trivial-zeros:

zeta(z) =
14.134725
21.022040
25.010858
30.424876
32.935062
37.586178
....

The integers closest to these values are 14, 21, 25, 30, 33, 38, 41, 43, 48, 50, ...

They are not prime numbers.

Additional Details

@Henk V,
How do you translate Riemann zeta function values (14, 21, 25, 30, 33, 38,..) in to Prime numbers (2, 3, 5, 7, 11, 13, 17, 23, 29, . . .)?

Answer:

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