

A086241


Decimal expansion of value to which Sum_{k>=2} d(k)/prime(k) appears to converge, where d(k)=1 if p mod 3 = 1, d(k)=+1 if p mod 3 = 2 and d(k)=0 if p mod 3 = 0.


3



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

0,1


COMMENTS

It is not known if this series actually converges.


REFERENCES

S. R. Finch, Mathematical Constants, Encyclopedia of Mathematics and its Applications, vol. 94, Cambridge University Press, pp. 9498.


LINKS

Table of n, a(n) for n=0..97.
R. J. Mathar, Table of Dirichlet Lseries..., arXiv:1008.2547 [math.NT], 20102015, value of S(m=3,r=2,s=1).
Eric Weisstein's World of Mathematics, Prime Sums


EXAMPLE

0.64194483853319570866139263972173431667541104401588965490817...


CROSSREFS

Sequence in context: A180659 A309222 A324034 * A204023 A166905 A278071
Adjacent sequences: A086238 A086239 A086240 * A086242 A086243 A086244


KEYWORD

nonn,cons,hard


AUTHOR

Eric W. Weisstein, Jul 13 2003


EXTENSIONS

More digits from R. J. Mathar, Jul 28 2010
Sign typo in definition corrected by R. J. Mathar, Aug 01 2010


STATUS

approved



