

A233435


Primes p in prime triplets (p, p+4, p+6) at the end of the maximal gaps in A201596.


2



13, 37, 67, 193, 457, 613, 823, 2377, 2683, 3163, 3847, 5227, 6547, 10267, 15643, 25303, 47143, 54493
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OFFSET

1,1


COMMENTS

Prime triplets (p, p+4, 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 A201596; see more comments there.


LINKS

Alexei Kourbatov, Table of n, a(n) for n = 1..79
Tony Forbes, Prime ktuplets
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, kTuple Conjecture


EXAMPLE

The gap of 6 between triplets starting at p=7 and p=13 is the very first gap, so a(1)=13. The gap of 24 between triplets starting at p=13 and p=37 is a maximal (record) gap  larger than any preceding gap; therefore a(2)=37. The gap of 30 between triplets at p=37 and p=67 is again a record, so a(3)=67. The next gap is smaller, so a new term is not added to the sequence.


CROSSREFS

Cf. A022005, A201596, A201597.
Sequence in context: A118071 A147207 A146877 * A049742 A247867 A113601
Adjacent sequences: A233432 A233433 A233434 * A233436 A233437 A233438


KEYWORD

nonn


AUTHOR

Alexei Kourbatov, Dec 09 2013


STATUS

approved



