A093982 - OEIS

%I #11 Aug 14 2018 21:01:59

%S 0,0,0,0,1,53,1072,16595,211462,2431627,26393893,276101593,2816219685,

%T 28221308574,279267094107,2738556645645,26678405009130,258648302848389

%N Number of prime pairs below 10^n having a difference of 56.

%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(7) = 1072 because there are 1072 prime gaps of 56 below 10^7.

%Y Cf. A007508, A093981, A093983.

%K nonn,more

%O 1,6

%A _Enoch Haga_, Apr 24 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