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A052352 First primes of A031924 (lesser of 6-twins) with increasing distance to the next 6-twin. 0
47, 23, 73, 61, 353, 31, 233, 131, 331, 653, 2441, 3733, 1033, 4871, 1063, 1621, 503, 607, 4211, 7823, 2287, 83, 383, 1231, 2903, 5981, 1123, 173, 11981, 11833, 1367, 2063, 4723, 19681, 2207, 2131, 2713, 9533, 6571, 1657, 23081, 15913, 7013, 14051 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

The increment of distance of 6-twins (A053321) is 2 (not 6), the smallest distance (A052380) is 6.

The middle gap 2n-2 may include primes, e.g., n=10, a(10)=653 and between 659 and 659 + 2*10 - 2 = 677, two primes occur.

LINKS

Table of n, a(n) for n=1..44.

FORMULA

a(n) = p yields a prime quadruple [p, p+6, p+2n+4, p+2n+4+6] with difference pattern [6, 2n-2, 6].

EXAMPLE

For n=1,2,3 the quadruples are [47,53,53,59] (a triple), [23,29,31,37], [73,79,83,89] with 53 - 47 = 6, 31 - 23 = 8 and 83 - 73 = 10 twin distances.

CROSSREFS

Cf. A031924, A053321, A052380, A052381.

Sequence in context: A320342 A217423 A033367 * A265673 A089553 A165868

Adjacent sequences:  A052349 A052350 A052351 * A052353 A052354 A052355

KEYWORD

nonn

AUTHOR

Labos Elemer, Mar 07 2000

STATUS

approved

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Last modified February 25 10:31 EST 2020. Contains 332227 sequences. (Running on oeis4.)