A093746 Number of prime pairs below 10^n having a difference of 22.

0, 0, 0, 16, 223, 2172, 19451, 175945, 1569679, 13954281, 124059643, 1105634145, 9888091790, 88792328084, 800651549083, 7249252855793, 65896837322878, 601279985076759

Offset

1,4

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(4) = 16 because there are 16 prime gaps of 22 below 10^4.

Crossrefs

Cf. A007508, A093745, A093747.

Sequence in context: A386614 A092657 A078266 * A118779 A209444 A051822

Adjacent sequences: A093743 A093744 A093745 * A093747 A093748 A093749

Keyword

nonn,more

Author

Enoch Haga, Apr 15 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