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A086240 Decimal expansion of Sum_{k>=2} (p mod 4 - 2)/p^2 where p=prime(k). 0


%S 0,9,4,6,1,9,8,9,2,8,9,2,9,5,0,1,5,7,9,4,5,1,8,6,7,9,0,1,4,9,1,7,4,8,

%T 0,9,6,0,1,8,8,0,3,4,0,2,4,9,7,2,1,3,5,7,1,4,8,5,9,6,0,8,5,7,5,9,4,3,

%U 1,3,7,3,2,7,5,6,2,5,5

%N Decimal expansion of Sum_{k>=2} (p mod 4 - 2)/p^2 where p=prime(k).

%D S. R. Finch, Mathematical Constants, Encyclopedia of Mathematics and its Applications, vol. 94, Cambridge University Press, pp. 94-98

%H R. J. Mathar, <a href="http://arxiv.org/abs/1008.2547">Table of Dirichlet L-series and Prime Zeta Modulo functions for small moduli</a>, arXiv:1008.2547 [math.NT], variable S(m=4,s=2,r=2).

%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/PrimeSums.html">Prime Sums</a>

%e 0.094619892892950157945186790149174809601880340249721357148596...

%K nonn,cons,hard,more

%O 0,2

%A _Eric W. Weisstein_, Jul 13 2003

%E A missing digit inserted and more digits added by _R. J. Mathar_, Jul 28 2010

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Last modified October 14 02:29 EDT 2019. Contains 327995 sequences. (Running on oeis4.)