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%I #18 Jul 29 2017 21:25:56
%S 151,367,601,727,2281,2671,3307,4987,5557,10651,12967,13171,15907,
%T 18217,18427,20101,20341,24091,27061,28591,30097,30307,31321,32491,
%U 35311,37951,41941,42181,42391,45751,52951,53617,55201,56767,59107,65407
%N 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 d-pattern = [6, 6, 4]; short d-string notation of pattern = [664].
%C Subsequence of A047948. - _R. J. Mathar_, Feb 11 2013
%H R. J. Mathar, <a href="/A078858/b078858.txt">Table of n, a(n) for n = 1..1000</a>
%F Primes p = p(i) such that p(i+1) = p+6, p(i+2) = p+6+6, p(i+3) = p+6+6+4.
%e p=151, 151+6 = 157, 151+6+6 = 163, 151+6+6+4 = 167 are consecutive primes.
%t Transpose[Select[Partition[Prime[Range[6600]],4,1],Differences[#] == {6,6,4}&]][[1]] (* _Harvey P. Dale_, Nov 04 2011 *)
%Y 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].
%K nonn
%O 1,1
%A _Labos Elemer_, Dec 11 2002
%E Listed terms verified by _Ray Chandler_, Apr 20 2009
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