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

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

Offset

0,2

References

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

Links

Table of n, a(n) for n=0..105.

R. J. Mathar, Table of Dirichlet L-series and Prime Zeta Modulo functions for small moduli, arXiv:1008.2547 [math.NT], 2010-2015, variable S(m=4,s=2,r=2).

Eric Weisstein's World of Mathematics, Prime Sums

Formula

Equals A085991 - A086032. - Vaclav Kotesovec, Jun 19 2020

Example

0.094619892892950157945186790149174809601880340249721357148596...

Crossrefs

Sequence in context: A016630 A213614 A099281 * A288240 A289267 A197155

Adjacent sequences: A086237 A086238 A086239 * A086241 A086242 A086243

Keyword

nonn,cons,hard

Author

Eric W. Weisstein, Jul 13 2003

Extensions

A missing digit inserted and more digits added by R. J. Mathar, Jul 28 2010

More digits from Vaclav Kotesovec, Jun 19 2020

Status

approved