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A085968 Decimal expansion of the prime zeta function at 8. 2
0, 0, 4, 0, 6, 1, 4, 0, 5, 3, 6, 6, 5, 1, 7, 8, 3, 0, 5, 6, 0, 5, 2, 3, 4, 3, 9, 1, 4, 2, 6, 8, 3, 0, 8, 0, 5, 2, 2, 9, 7, 7, 1, 4, 4, 5, 1, 2, 0, 7, 1, 7, 4, 1, 0, 0, 1, 0, 3, 2, 6, 8, 8, 6, 8, 1, 7, 2, 8, 6, 3, 0, 4, 0, 7, 0, 7, 8, 8, 0, 4, 4, 0, 6, 0, 9, 2, 2, 8, 2, 8, 0, 5, 3, 0, 4, 3, 1, 3, 4, 4, 2, 6, 5, 6 (list; constant; graph; refs; listen; history; internal format)
OFFSET

0,3

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(8) = Sum_{p prime>=2} 1/p^8 = Sum_{n=1..inf} mobius(n)*log(zeta(8*n))/n

EXAMPLE

0.0040614053665178305605...

CROSSREFS

Cf. A085548, A085541, A085964, A085965, A085966, A085967.

Sequence in context: A132953 A195207 A157721 * A010637 A200692 A127447

Adjacent sequences:  A085965 A085966 A085967 * A085969 A085970 A085971

KEYWORD

cons,nonn

AUTHOR

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

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Last modified February 14 23:53 EST 2012. Contains 205689 sequences.