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A086241
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Decimal expansion of value to which Sum[d[k]/Prime[k],{k,2,Infinity}] appears to converge, where d[k]=-1 if Mod[p,3]==+1, d[k]=+1 if Mod[p,3]==2 and d[k]=0 if Mod[p,3]==0.
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3
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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
(list; constant; graph; refs; listen; history; internal format)
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OFFSET
| 0,1
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COMMENTS
| It is not known if this series actually converges.
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REFERENCES
| S. R. Finch, Mathematical Constants, Encyclopedia of Mathematics and its Applications, vol. 94, Cambridge University Press, pp. 94-98
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LINKS
| R. J. Mathar, Table of Dirichlet L-series..., arXiv:1008.2547, value of S(m=3,r=2,s=1).
Eric Weisstein's World of Mathematics, Prime Sums
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EXAMPLE
| 0.6419448385...
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CROSSREFS
| Sequence in context: A021863 A190405 A180659 * A204023 A166905 A132870
Adjacent sequences: A086238 A086239 A086240 * A086242 A086243 A086244
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KEYWORD
| nonn,cons,hard
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AUTHOR
| Eric Weisstein (eric(AT)weisstein.com), Jul 13, 2003
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EXTENSIONS
| More digits from R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Jul 28 2010
Sign typo in definition corrected by R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Aug 01 2010
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