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Search: id:A052354
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| A052354 |
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First primes of A031928 (lesser of 10-twins, geminor-10 primes) with increasing distance to the next similar twin. |
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+0
2
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| 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; listen)
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OFFSET
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1,1
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COMMENT
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1. a(n)=p determines [p,p+10,p+6n+6,p+6n+16] quadruple with [10,6n-4,10] difference pattern.
2. The smallest distance between 10-twins [A052380(5)] is 12, while its increment is 6.
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FORMULA
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a(n)=p is the smallest of A031928 followed by the next 10- twin after a 6n+6 distance.
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EXAMPLE
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n=2 results in [691,701,709,719] quadruple and [10,8,10] d-pattern without primes in the median gap;
n=10 yields [25087,25097,25153,25163] and [10,56,10] with 5 primes in the middle gap.
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CROSSREFS
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Cf. A031928, A053323, A053280, A053281.
Sequence in context: A163024 A069298 A139661 this_sequence A052376 A159346 A107625
Adjacent sequences: A052351 A052352 A052353 this_sequence A052355 A052356 A052357
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KEYWORD
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nonn
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AUTHOR
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Labos E. (labos(AT)ana.sote.hu), Mar 07 2000
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