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A052377
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Primes followed by an [8,4,8]=[d,D-d,d] prime difference pattern of A001223.
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2
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389, 479, 1559, 3209, 8669, 12269, 12401, 13151, 14411, 14759, 21851, 28859, 31469, 33191, 36551, 39659, 40751, 50321, 54311, 64601, 70229, 77339, 79601, 87671, 99551, 102539, 110261, 114749, 114761, 118661, 129449, 132611, 136511
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OFFSET
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1,1
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COMMENTS
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A subsequence of A031926. [Corrected by Sean A. Irvine, Nov 07 2021]
a(n)=p, the initial prime of two consecutive 8-twins of primes as follows: [p,p+8] and [p+12,p+12+8], d=8, while the distance of the two 8-twins is 12 (minimal; see A052380(4/2)=12).
Analogous sequences are A047948 for d=2, A052378 for d=4, A052376 for d=10 and A052188-A052199 for d=6k, so that in the [d,D-d,d] difference patterns which follows a(n) the D-d is minimal(=0,2,4; here it is 4).
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LINKS
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Table of n, a(n) for n=1..33.
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FORMULA
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a(n) is the initial term of a [p, p+8, p+12, p+12+8] quadruple of consecutive primes.
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EXAMPLE
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p=1559 begins the [1559,1567,1571,1579] prime quadruple consisting of two 8-twins [1559,1567] and[1571,1579] which are in minimal distance, min{D}=1571-1559=12=A052380(8/2).
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CROSSREFS
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Cf. A031926, A053325, A052380, A052376, A052378, A052188-A052190.
Sequence in context: A282381 A089450 A106760 * A154624 A052353 A355651
Adjacent sequences: A052374 A052375 A052376 * A052378 A052379 A052380
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KEYWORD
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nonn
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AUTHOR
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Labos Elemer, Mar 22 2000
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STATUS
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approved
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