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A085965 Decimal expansion of the prime zeta function at 5. +0
6
0, 3, 5, 7, 5, 5, 0, 1, 7, 4, 8, 3, 9, 2, 4, 2, 5, 7, 1, 3, 2, 8, 1, 8, 2, 4, 2, 5, 3, 8, 8, 5, 5, 7, 1, 1, 1, 3, 1, 6, 9, 7, 2, 7, 6, 7, 2, 6, 6, 5, 1, 3, 3, 1, 6, 9, 0, 0, 9, 2, 6, 7, 4, 8, 2, 3, 9, 7, 5, 8, 3, 4, 2, 7, 4, 7, 2, 7, 9, 3, 1, 3, 6, 6, 0, 7, 2, 8, 0, 6, 4, 7, 0, 3, 7, 6, 7, 9, 5, 0, 8, 9, 6, 3, 9 (list; cons; graph; listen)
OFFSET

0,2

LINKS

H. Cohen, High Precision Computation of Hardy-Littlewood Constants, Preprint.

X. Gourdon and P. Sebah, Some Constants from Number theory

Eric Weisstein's World of Mathematics, Prime Zeta Function

FORMULA

P(5) = Sum_{p prime>=2} 1/p^5 = Sum_{n=1..inf} mobius(n)*log(zeta(5*n))/n

EXAMPLE

0.0357550174839242571328...

CROSSREFS

Cf. A085548, A085541, A085964.

Sequence in context: A134487 A064537 A023899 this_sequence A141710 A070647 A070949

Adjacent sequences: A085962 A085963 A085964 this_sequence A085966 A085967 A085968

KEYWORD

cons,nonn

AUTHOR

Antonio G. Astudillo (afg_astudillo(AT)lycos.com), Jul 06 2003

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Last modified November 24 23:16 EST 2009. Contains 167481 sequences.


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