A052377 - OEIS

A052377

Primes followed by an [8,4,8]=[d,D-d,d] prime difference pattern of A001223.

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

1,1

COMMENTS

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).

LINKS

Table of n, a(n) for n=1..33.

FORMULA

a(n) is the initial term of a [p, p+8, p+12, p+12+8] quadruple of consecutive primes.

EXAMPLE

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).

CROSSREFS

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

KEYWORD

nonn

AUTHOR

Labos Elemer, Mar 22 2000

STATUS

approved