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A227063
Prime in the middle of a list of 7 consecutive primes such that each of them is a member of a twin pair.
1
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
OFFSET
1,1
COMMENTS
This is roughly a search for at least three successive zeros in A048614.
EXAMPLE
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.
MATHEMATICA
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 *)
CROSSREFS
Sequence in context: A080050 A067254 A099806 * A286197 A287078 A286964
KEYWORD
nonn
AUTHOR
Irina Gerasimova, Jun 30 2013
STATUS
approved