A093982 Number of prime pairs below 10^n having a difference of 56.

0, 0, 0, 0, 1, 53, 1072, 16595, 211462, 2431627, 26393893, 276101593, 2816219685, 28221308574, 279267094107, 2738556645645, 26678405009130, 258648302848389

Offset

1,6

Links

Table of n, a(n) for n=1..18.

Siegfried "Zig" Herzog, Frequency of Occurrence of Prime Gaps

T. Oliveira e Silva, S. Herzog, and S. Pardi, Empirical verification of the even Goldbach conjecture and computation of prime gaps up to 4.10^18, Math. Comp., 83 (2014), 2033-2060.

Example

a(7) = 1072 because there are 1072 prime gaps of 56 below 10^7.

Crossrefs

Cf. A007508, A093981, A093983.

Sequence in context: A289818 A253111 A157618 * A091548 A342899 A017769

Adjacent sequences: A093979 A093980 A093981 * A093983 A093984 A093985

Keyword

nonn,more

Author

Enoch Haga, Apr 24 2004

Extensions

a(10)-a(13) from Washington Bomfim, Jun 22 2012

a(14)-a(18) from S. Herzog's website added by Giovanni Resta, Aug 14 2018

Status

approved