A093974 Number of prime pairs below 10^n having a difference of 40.

0, 0, 0, 0, 28, 424, 5318, 60761, 648780, 6576432, 64778166, 626694626, 5994718578, 56938020205, 538418118750, 5078038454782, 47824516913862, 450132198653881

Offset

1,5

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(5) = 28 because there are 28 prime gaps of 40 below 10^5.

Crossrefs

Cf. A007508, A093973, A093975.

Sequence in context: A024213 A004415 A096949 * A121803 A022656 A154588

Adjacent sequences: A093971 A093972 A093973 * A093975 A093976 A093977

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