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A137245
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Decimal expansion of sum 1/(p *log p) over the primes p=2,3,5,7,11,...
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2
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1, 6, 3, 6, 6, 1, 6, 3, 2, 3, 3, 5, 1, 2, 6, 0, 8, 6, 8, 5, 6, 9, 6, 5, 8, 0, 0, 3, 9, 2, 1, 8, 6, 3, 6, 7, 1, 1, 8, 1, 5, 9, 7, 0, 7, 6, 1, 3, 1, 2
(list; constant; graph; refs; listen; history; internal format)
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OFFSET
| 1,2
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COMMENTS
| sum_{p= A000040} 1/(p^s* log p) equals this value here if s=1, equals 0.507782187.. if s=2, 0.22120334039... if s=3. See arXiv:0811.4739.
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LINKS
| H. Cohen, High-precision calculation of Hardy-Littlewood constants, preprint 1991.
R. J. Mathar, Twenty digits of some integrals of the prime zeta function, arXiv:0811.4739, table in Section 2.4.
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FORMULA
| Equals sum_(n=1,2,..,infinity} 1/(A000040(n)*log A000040(n)).
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EXAMPLE
| 1.63661632335...
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CROSSREFS
| Sequence in context: A043296 A199186 A176715 * A060294 A181171 A193025
Adjacent sequences: A137242 A137243 A137244 * A137246 A137247 A137248
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KEYWORD
| cons,nonn
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AUTHOR
| R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Mar 09 2008
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