cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A093752 Number of prime pairs below 10^n having a difference of 34.

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%I A093752 #13 Aug 14 2018 21:00:28
%S A093752 0,0,0,2,33,557,6721,71248,719531,6996756,66745265,629634308,
%T A093752 5900013825,55082083947,513336390285,4781421106831,44546412612392,
%U A093752 415327075240821
%N A093752 Number of prime pairs below 10^n having a difference of 34.
%H A093752 Siegfried "Zig" Herzog, <a href="http://zigherzog.net/primes/index.html#compare">Frequency of Occurrence of Prime Gaps</a>
%H A093752 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 A093752 a(5) = 33 because there are 33 prime gaps of 34 below 10^n.
%t A093752 Table[Count[Differences[Prime[Range[PrimePi[10^n]]]],34],{n,13}] (* The program takes a long time to run *) (* _Harvey P. Dale_, Nov 24 2017 *)
%Y A093752 Cf. A007508, A093751, A093972.
%K A093752 nonn,more
%O A093752 1,4
%A A093752 _Enoch Haga_, Apr 15 2004
%E A093752 a(10)-a(13) from _Washington Bomfim_, Jun 22 2012
%E A093752 a(14)-a(18) from S. Herzog's website added by _Giovanni Resta_, Aug 14 2018