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A233434 Primes p in prime triplets (p, p+2, p+6) at the end of the maximal gaps in A201598. 2
11, 41, 101, 191, 461, 641, 1091, 1871, 2657, 3251, 6827, 7877, 40427, 47711, 58907, 86111, 171047, 379007, 385391, 553097 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Prime triplets (p, p+2, p+6) are one of the two types of densest permissible constellations of 3 primes. Maximal gaps between triplets of this type are listed in A201598; see more comments there.

LINKS

Alexei Kourbatov, Table of n, a(n) for n = 1..72

Tony Forbes, Prime k-tuplets

Alexei Kourbatov, Maximal gaps between prime triplets

Alexei Kourbatov, Tables of record gaps between prime constellations, arXiv preprint arXiv:1309.4053, 2013.

Eric W. Weisstein, k-Tuple Conjecture

EXAMPLE

The gap of 6 between triplets starting at p=5 and p=11 is the very first gap, so a(1)=11. The gap of 6 between triplets starting at p=11 and p=17 is not a record, so a new term is not added. The gap of 24 between triplets starting at p=17 and p=41 is a record gap - larger than any preceding gap; therefore a(2)=41.

CROSSREFS

Cf. A022004, A201598, A201599.

Sequence in context: A065145 A030685 A132208 * A261538 A066595 A260266

Adjacent sequences:  A233431 A233432 A233433 * A233435 A233436 A233437

KEYWORD

nonn

AUTHOR

Alexei Kourbatov, Dec 09 2013

STATUS

approved

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Last modified December 9 21:41 EST 2016. Contains 278987 sequences.