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.
%I A078847 #29 Aug 04 2017 15:42:51
%S A078847 17,41,227,347,641,1091,1277,1427,1487,1607,2687,3527,3917,4001,4127,
%T A078847 4637,4787,4931,8231,9461,10331,11777,12107,13901,14627,20747,21557,
%U A078847 23741,25577,26681,26711,27737,27941,28277,29021,31247,32057,32297
%N A078847 Initial term in sequence of four consecutive primes separated by 3 consecutive differences each <= 6 (i.e., when d = 2, 4 or 6) and forming pattern = [2, 4, 6]; short notation = [246] d-pattern.
%C A078847 Subsequence of A022004. - _R. J. Mathar_, Feb 10 2013
%C A078847 a(n) + 12 is the greatest term in the sequence of 4 consecutive primes with 3 consecutive gaps 2, 4, 6. - _Muniru A Asiru_, Aug 03 2017
%H A078847 Zak Seidov, <a href="/A078847/b078847.txt">Table of n, a(n) for n = 1..2000</a>
%F A078847 Primes p=prime(i) such that prime(i+1) = p+2, prime(i+2) = p+2+4, prime(i+3) = p+2+4+6.
%e A078847 17, 17+2 = 19, 17+2+4 = 23, 17+2+4+6 = 29 are consecutive primes.
%t A078847 d = Differences[Prime[Range[10000]]]; Prime[Flatten[Position[Partition[d, 3, 1], {2, 4, 6}]]] (* _T. D. Noe_, May 23 2011 *)
%t A078847 Transpose[Select[Partition[Prime[Range[10000]],4,1],Differences[#] == {2,4,6}&]][[1]] (* _Harvey P. Dale_, Aug 07 2013 *)
%Y A078847 Cf. analogous prime quadruple sequences with various possible {2, 4, 6}-difference-patterns in brackets: A007530[242], A078847[246], A078848[264], A078849[266], A052378[424], A078850[426], A078851[462], A078852[466], A078853[624], A078854[626], A078855[642], A078856[646], A078857[662], A078858[664], A033451[666].
%Y A078847 Cf. A190814[2,4,6,8], A190817[2,4,6,8,10], A190819[2,4,6,8,10,12], A190838[2,4,6,8,10,12,14]
%K A078847 nonn
%O A078847 1,1
%A A078847 _Labos Elemer_, Dec 11 2002
%E A078847 Listed terms verified by _Ray Chandler_, Apr 20 2009
%E A078847 Additional cross references from _Harvey P. Dale_, May 10 2014