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A175645
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Decimal expansion of the sum 1/p^3 over primes == 1 (mod 3).
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3
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0, 0, 3, 6, 0, 0, 4, 2, 3, 3, 4, 6, 9, 4, 2, 9, 5, 8, 9, 5, 7, 4, 7, 6, 9, 4, 7, 6, 2, 9, 2, 3, 8, 4, 6, 4, 9, 4, 2, 4, 9, 5, 1, 6, 5, 1, 3, 6, 9
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OFFSET
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0,3
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COMMENTS
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The Prime Zeta modulo function at 3 for primes of the form 3k+1, which is sum_{primes = A002476} 1/p^3 = 1/7^3 +1/13^3 +1/19^3+ 1/31^3+...
The complementary sum_{primes = A003627} 1/p^3 is given by P_{3,2}(3) = A085541 - 1/3^3 - (this value here) = 0.13412517891546354042859932999943119899...
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LINKS
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Table of n, a(n) for n=0..48.
R. J. Mathar, Table of Dirichlet L-series and Prime Zeta Modulo Functions for Small Moduli, arXiv:1008.2547 [math.NT]
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EXAMPLE
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P_{3,1}(3) = 0.00360042334694295895747694762923846494249516...
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CROSSREFS
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Cf. A086033, A175644.
Sequence in context: A126334 A068635 A156695 * A178514 A154924 A071105
Adjacent sequences: A175642 A175643 A175644 * A175646 A175647 A175648
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KEYWORD
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cons,nonn
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AUTHOR
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R. J. Mathar, Aug 01 2010
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EXTENSIONS
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Links replaced by permanent arXiv URL - R. J. Mathar, Sep 20 2010
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STATUS
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approved
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