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A227063
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Prime in the middle of a list of 7 consecutive primes such that each of them is a member of a twin pair.
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1
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11, 9433, 9437, 62983, 62987, 72229, 72251, 392269, 392279, 495589, 495611, 663583, 663587, 909301, 909317, 909319, 909329, 1006309, 1006331, 1138393, 1138409, 1159201, 1159229, 1173553, 1173581, 1322161, 1322171, 2144491
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OFFSET
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1,1
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COMMENTS
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This is roughly a search for at least three successive zeros in A048614.
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LINKS
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EXAMPLE
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The twin prime 9433 is in the sequence because it is in the middle of the list of 7 successive primes 9419, 9421, 9431, 9433, 9437, 9439, 9461, of which each is a member of a twin prime pair.
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MATHEMATICA
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tp7Q[lst_]:=Total[If[PrimeQ[#+2]||PrimeQ[#-2], 1, 0]&/@lst]==7; Select[Partition[Prime[ Range[ 160000]], 7, 1], tp7Q][[;; , 4]] (* Harvey P. Dale, Oct 22 2023 *)
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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