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A085967 Decimal expansion of the prime zeta function at 7. 2
0, 0, 8, 2, 8, 3, 8, 3, 2, 8, 5, 6, 1, 3, 3, 5, 9, 2, 5, 3, 5, 1, 2, 4, 1, 3, 8, 7, 2, 9, 4, 4, 8, 7, 2, 3, 0, 8, 9, 1, 8, 3, 3, 2, 8, 8, 8, 5, 3, 0, 7, 8, 0, 6, 2, 4, 4, 6, 4, 1, 9, 2, 1, 6, 3, 8, 6, 5, 5, 4, 8, 9, 4, 1, 1, 0, 0, 7, 8, 5, 8, 1, 8, 4, 3, 1, 6, 6, 1, 3, 4, 1, 8, 1, 9, 1, 8, 2, 0, 0, 4, 3, 2, 8, 1 (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(7) = Sum_{p prime>=2} 1/p^7 = Sum_{n=1..inf} mobius(n)*log(zeta(7*n))/n

EXAMPLE

0.0082838328561335925351...

CROSSREFS

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

Sequence in context: A134724 A021551 A143025 * A163960 A143531 A019865

Adjacent sequences:  A085964 A085965 A085966 * A085968 A085969 A085970

KEYWORD

cons,nonn

AUTHOR

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

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Last modified February 14 10:18 EST 2012. Contains 205614 sequences.