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A086242
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Decimal expansion of sum 1/(p-1)^2 over primes p.
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4
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1, 3, 7, 5, 0, 6, 4, 9, 9, 4, 7, 4, 8, 6, 3, 5, 2, 8, 7, 9, 1, 7, 2, 5, 3, 1, 3, 0, 5, 2, 2, 4, 3, 9, 6, 9, 9, 1, 7, 9, 5, 9, 9, 9, 6, 0, 1, 7, 5, 3, 1, 7, 4, 5, 8, 7, 0, 9, 1, 8, 9, 3, 3, 5, 8, 9, 1, 2, 3, 5, 7, 1, 3, 1, 4, 1, 5, 5, 5, 2, 5, 5, 4, 2, 9, 9, 0, 7, 6, 5, 2, 4, 1, 6, 5, 8, 8, 1, 1, 4, 5, 2, 7, 6, 0, 6, 5, 7, 4, 4, 8, 0, 6, 5, 7, 4
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OFFSET
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1,2
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REFERENCES
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S. R. Finch, Mathematical Constants, Encyclopedia of Mathematics and its Applications, vol. 94, Cambridge University Press, pp. 94-98.
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LINKS
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Table of n, a(n) for n=1..116.
Henri Cohen, High precision computation of Hardy-Littlewood Constants (dvi), 1998. [From R. J. Mathar, Dec 05 2008]
Eric Weisstein's World of Mathematics, Prime Sums
Eric Weisstein's World of Mathematics, Prime Factor
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FORMULA
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sum(k>=2, (k-1)*primezeta(k) ). [Robert Gerbicz, Sep 12 2012]
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EXAMPLE
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1.37506499474863528791725313052243969917959996017...
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PROG
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(PARI) default(realprecision, 256);
(f(k)=return(sum(n=1, 1024, moebius(n)/n*log(zeta(k*n)))));
sum(k=2, 1024, (k-1)*f(k)) /* Robert Gerbicz, Sep 12 2012 */
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CROSSREFS
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Sequence in context: A114691 A023639 A193506 * A096627 A065084 A132742
Adjacent sequences: A086239 A086240 A086241 * A086243 A086244 A086245
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KEYWORD
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nonn,cons
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AUTHOR
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Eric W. Weisstein, Jul 13, 2003
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EXTENSIONS
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More digits copied from Cohen's paper by R. J. Mathar, Dec 05 2008
More terms from Robert Gerbicz, Sep 12 2012
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STATUS
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approved
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