

A136271


Decimal expansion of sum log(p)/p^2 over the primes p=2,3,5,7,11,...


12



4, 9, 3, 0, 9, 1, 1, 0, 9, 3, 6, 8, 7, 6, 4, 4, 6, 2, 1, 9, 7, 8, 2, 6, 2, 0, 5, 0, 5, 6, 4, 9, 1, 2, 5, 8, 0, 5, 5, 5, 8, 8, 1, 2, 6, 3, 4, 6, 4, 6, 8, 2, 9, 0, 7, 1, 3, 3, 2, 7, 1, 2, 0, 3, 2, 1, 3, 3, 6, 7, 7, 3, 6, 7, 9, 5, 7, 8, 5, 2, 0, 3, 5, 5, 0, 7, 6, 0, 0, 4, 2, 1, 8, 1, 6, 9, 3, 1, 1, 2, 4, 2, 4, 6
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OFFSET

0,1


COMMENTS

The negative first derivative of the Prime Zeta function at 2.


REFERENCES

Henri Cohen, Number Theory, Volume II: Analytic and Modern Tools, GTM Vol. 240, Springer, 2007; see pp. 208209.


LINKS



FORMULA



EXAMPLE

0.493091109368764462197826205056491258055588126346468290713327120321336...


MATHEMATICA



CROSSREFS



KEYWORD



AUTHOR



EXTENSIONS

Removed 6 digits where preprints disagree. Added zero to an Anumber in formula. Corrected Cohen preprint year. Added 2nd link.  R. J. Mathar, Nov 27 2008


STATUS

approved



