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A052354 First primes of A031928 (lesser of 10-twins) with increasing distance to the next similar twin. 1
409, 691, 787, 547, 2053, 139, 4861, 283, 181, 25087, 337, 709, 2917, 829, 14197, 919, 3001, 33589, 2767, 421, 8221, 1879, 5179, 1249, 1471, 10141, 5011, 20533, 4483, 54091, 13249, 4663, 27883, 5869, 41443, 8599, 23311, 9049, 40699, 82591 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

a(n) = p determines a prime quadruple [p, p+10, p+6n+6, p+6n+16] with difference pattern [10, 6n-4, 10].

The smallest distance between 10-twins [A052380(5)] is 12, while its increment is 6.

LINKS

Table of n, a(n) for n=1..40.

FORMULA

a(n) = p is the smallest of A031928 followed by the next 10- twin after a 6n+6 distance.

EXAMPLE

a(2)=691 results in [691,701,709,719] quadruple and [10,8,10] d-pattern without primes in the median gap;

a(10)=25087 yields [25087,25097,25153,25163] and [10,56,10] with 5 primes in the middle gap.

CROSSREFS

Cf. A031928, A053323, A052380, A052381.

Sequence in context: A139661 A212604 A316934 * A213079 A260173 A321151

Adjacent sequences:  A052351 A052352 A052353 * A052355 A052356 A052357

KEYWORD

nonn

AUTHOR

Labos Elemer, Mar 07 2000

STATUS

approved

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Last modified April 5 16:53 EDT 2020. Contains 333245 sequences. (Running on oeis4.)