id:A085541 - OEIS Search Results

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Decimal expansion of the prime zeta function at 3.

+0
11

1, 7, 4, 7, 6, 2, 6, 3, 9, 2, 9, 9, 4, 4, 3, 5, 3, 6, 4, 2, 3, 1, 1, 3, 3, 1, 4, 6, 6, 5, 7, 0, 6, 7, 0, 0, 9, 7, 5, 4, 1, 2, 1, 2, 1, 9, 2, 6, 1, 4, 9, 2, 8, 9, 8, 8, 8, 6, 7, 2, 0, 1, 6, 7, 0, 1, 6, 3, 1, 5, 8, 9, 5, 2, 8, 1, 2, 9, 5, 8, 7, 6, 3, 5, 6, 3, 4, 2, 0, 0, 5, 3, 6, 9, 7, 2, 5, 6, 0, 5, 4, 6, 7, 9, 1 (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` `Gerhard Niklasch and Pieter Moree, Some number-theoretical constants` `Eric Weisstein's World of Mathematics, Prime Zeta Function`
	FORMULA	`P(3) = Sum_{p prime>=2} 1/p^3 = Sum_{n=1..inf} mobius(n)log(zeta(3n))/n - Antonio G. Astudillo (afg_astudillo(AT)lycos.com), Jul 06 2003`
	EXAMPLE	`0.1747626392994435364231...`
	PROGRAM	`(PARI) recip3(n) = { v=0; p=1; forprime(y=2, n, v=v+1./y^3; ); print(v) }`
	CROSSREFS	`Cf. A085548.` `Sequence in context: A027625 A085469 A050996 this_sequence A133055 A021576 A010509` `Adjacent sequences: A085538 A085539 A085540 this_sequence A085542 A085543 A085544`
	KEYWORD	`easy,nonn,cons`
	AUTHOR	`Cino Hilliard (hillcino368(AT)gmail.com), Jul 02 2003`
	EXTENSIONS	`More terms from Antonio G. Astudillo (afg_astudillo(AT)lycos.com), Jul 06 2003`

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Last modified November 18 20:14 EST 2008. Contains 147244 sequences.

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