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