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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
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
Sequence in context: A139661 A212604 A316934 * A213079 A260173 A321151
KEYWORD
nonn
AUTHOR
Labos Elemer, Mar 07 2000
STATUS
approved

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Last modified March 18 22:56 EDT 2024. Contains 370952 sequences. (Running on oeis4.)