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%I #13 Mar 06 2015 14:23:25
%S 1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,
%T 27,28,29,30,31,32,33,45,53,66,67,84,129,130,131,266,328,329,1619,
%U 1620,2655,2937,7509,7510,18030,29283,29714,29715,37630,42037,44473,45905
%N Values of n such that P[n]=4n^2-154n+1523 is prime and also {P[n+1],...,P[n+7-1]} are prime numbers. Namely: the terms are arguments providing a sequence of 7 polynomially consecutive primes with respect to 4x^2-154x+1523 polynomial communicated by Rivera (2003).
%H Harvey P. Dale, <a href="/A090111/b090111.txt">Table of n, a(n) for n = 1..200</a>
%e n=1 provides {1373, 1231, 1097, 971, 853, 743, 641} 7-chain of primes.
%t po[x_] := 4*x^2-154*x+1523; Do[s0=po[n];s1=po[n+1];s2=po[n+2];s3=po[n+3];s4=po[n+4]; s5=po[n+5];s6=po[n+6];If[PrimeQ[s0]&&PrimeQ[s1] &&PrimeQ[s2]&&PrimeQ[s3]&&PrimeQ[s4]&&PrimeQ[s5]&&PrimeQ[s6], Print[n]], {n, 1, 1000000}]
%t Flatten[Position[Partition[Table[If[PrimeQ[4n^2-154n+1523],1,0],{n,46000}],7,1],{1,1,1,1,1,1,1}]] (* _Harvey P. Dale_, Mar 06 2015 *)
%Y Cf. A090101, A090102, A090107-A090109, A055561, A090563, A090110.
%K nonn
%O 1,2
%A _Labos Elemer_, Dec 30 2003
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