A093750 - OEIS

%I #11 Aug 14 2018 21:00:16

%S 0,0,0,11,146,1914,21741,222847,2177991,20706430,194021497,1803413614,

%T 16694681959,154292579858,1425648765821,13181528127233,

%U 122022749987917,1131306675851868

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

%H Siegfried "Zig" Herzog, <a href="http://zigherzog.net/primes/index.html#compare">Frequency of Occurrence of Prime Gaps</a>

%H T. Oliveira e Silva, S. Herzog, and S. Pardi, <a href="http://dx.doi.org/10.1090/S0025-5718-2013-02787-1">Empirical verification of the even Goldbach conjecture and computation of prime gaps up to 4.10^18</a>, Math. Comp., 83 (2014), 2033-2060.

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

%Y Cf. A007508, A093749, A093751.

%K nonn,more

%O 1,4

%A _Enoch Haga_, Apr 15 2004

%E a(10)-a(13) from _Washington Bomfim_, Jun 22 2012

%E a(14)-a(18) from S. Herzog's website added by _Giovanni Resta_, Aug 14 2018