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Search: id:A090110
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| A090110 |
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Values of n such that P[n]=4n^2-154n+1523 is prime and also {P[n+1],...,P[n+8-1]} are prime numbers. Namely: the terms are arguments introducing a sequence of 8 polynomially con- secutive primes with respect of 4x^2-154x+1523 polynomial communicated by Rivera (2003). |
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+0
2
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| 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, 27, 28, 29, 30, 31, 32, 66, 129, 130, 328, 1619, 7509, 29714, 45905, 447588, 509862
(list; graph; listen)
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OFFSET
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1,2
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EXAMPLE
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n=1 provides {1373,1231,1097,971,853,743,641,547} 8-chain of primes.
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MATHEMATICA
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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]; s7=po[n+7]; If[PrimeQ[s0]&&PrimeQ[s1] &&PrimeQ[s2]&&PrimeQ[s3]&&PrimeQ[s4]&&PrimeQ[s5]&&PrimeQ[s6] &&PrimeQ[s7], Print[n]], {n, 1, 1000000}]
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CROSSREFS
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Cf. A090101, A090102, A090107-A090109, A055561, A090563.
Sequence in context: A090111 A071669 A114086 this_sequence A132016 A032513 A048266
Adjacent sequences: A090107 A090108 A090109 this_sequence A090111 A090112 A090113
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KEYWORD
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nonn
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AUTHOR
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Labos E. (labos(AT)ana.sote.hu), Dec 30 2003
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