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%I #8 Oct 18 2013 12:54:06
%S 37861,39181,324763,692743,810391,945331,1047961,1429573,1513573,
%T 1540813,1799071,3463573,3861223,3979201,4536121,4641001,5154343,
%U 5445403,5874853,7851583,8820793,8961373,8976403,9302113,9673351
%N Initial prime p introducing a prime sextuplet of consecutive primes as follows:{p,p+10,p+18,p+28,p+36,p+46} with the corresponding prime-difference-pattern:{10,8,10,8,10}.
%C A generalization of primes displayed in A022008.
%H Harvey P. Dale, <a href="/A102332/b102332.txt">Table of n, a(n) for n = 1..200</a>
%t tm=TimeUsed[];ta={{0}};Do[g=n;d1=10;d2=8;d3=10;d4=8;d5=10; s1=Prime[n+1]-Prime[n];s2=Prime[n+2]-Prime[n+1]; s3=Prime[n+3]-Prime[n+2];s4=Prime[n+4]-Prime[n+3]; s5=Prime[n+5]-Prime[n+4];If[Equal[s1, d1]&&Equal[s2, d2]&& Equal[s3, d3]&&Equal[s4, d4]&&Equal[s5, d5], Print[{Prime[n], s1, s2, s3, s4, s5}];ta=Append[ta, Prime[n]]], {n, 1, 10000000}] {ta=Delete[ta, 1], {d1, d2}} {g, TimeUsed[]-tm}
%t Transpose[Select[Partition[Prime[Range[650000]],6,1],Differences[#]=={10,8,10,8,10}&]][[1]] (* _Harvey P. Dale_, Oct 18 2013 *)
%Y Cf. A001223, A022008, A052162-A052168, A047078, A067140, A067141.
%K nonn
%O 1,1
%A _Labos Elemer_, Jan 06 2005
%E Definition corrected by _Harvey P. Dale_, Oct 18 2013
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