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 A078866 #6 Jun 24 2014 01:08:33
%S A078866 5,17,41,29,71,149,3299,7,13,67,1597,19,43,12637,1601,23,593,31,61,
%T A078866 3313,157,47,601,151,251,3301
%N A078866 The quadruples (d1,d2,d3,d4) with elements in {2,4,6} are listed in lexicographic order; for each quadruple, this sequence lists the smallest prime p >= 5 such that the differences between the 5 consecutive primes starting with p are (d1,d2,d3,d4), if such a prime exists.
%C A078866 The 26 quadruples for which p exists are listed, in decimal form, in A078868.
%e A078866 The term 12637 corresponds to the quadruple (4,6,6,6): 12637, 12641, 12647, 12653 and 12659 are consecutive primes.
%Y A078866 The quadruples are in A078868. The same primes, in increasing order, are in A078867. The sequences of primes corresponding to the 26 difference patterns are in A022006, A022007 and A078946-A078970. Cf. A001223.
%K A078866 fini,full,nonn
%O A078866 1,1
%A A078866 _Labos Elemer_, Dec 19 2002
%E A078866 Edited by _Dean Hickerson_, Dec 20 2002