A093750 Number of prime pairs below 10^n having a difference of 30.

0, 0, 0, 11, 146, 1914, 21741, 222847, 2177991, 20706430, 194021497, 1803413614, 16694681959, 154292579858, 1425648765821, 13181528127233, 122022749987917, 1131306675851868

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(5) = 146 because there are 146 prime gaps of 30 below 10^5.

Crossrefs

Cf. A007508, A093749, A093751.

Sequence in context: A098310 A293610 A061613 * A194726 A367790 A296143

Adjacent sequences: A093747 A093748 A093749 * A093751 A093752 A093753

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