A233435 Primes p in prime triples (p, p+4, p+6) at the end of the maximal gaps in A201596.

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

Offset

1,1

Comments

Prime triples (p, p+4, p+6) are one of the two types of densest permissible constellations of 3 primes. Maximal gaps between triples 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 k-tuplets

Alexei Kourbatov, Maximal gaps between prime triples

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 triples starting at p=7 and p=13 is the very first gap, so a(1)=13. The gap of 24 between triples 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 triples 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: A147207 A146877 A309720 * A049742 A347209 A247867

Adjacent sequences: A233432 A233433 A233434 * A233436 A233437 A233438

Keyword

nonn

Author

Alexei Kourbatov, Dec 09 2013

Status

approved