A052354 First primes of A031928 (lesser of 10-twins) with increasing distance to the next similar twin.

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

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