A233434 Primes p in prime triples (p, p+2, p+6) at the end of the maximal gaps in A201598.

11, 41, 101, 191, 461, 641, 1091, 1871, 2657, 3251, 6827, 7877, 40427, 47711, 58907, 86111, 171047, 379007, 385391, 553097

Offset

1,1

Comments

Prime triples (p, p+2, 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 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 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=5 and p=11 is the very first gap, so a(1)=11. The gap of 6 between triples starting at p=11 and p=17 is not a record, so a new term is not added. The gap of 24 between triples 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: A030685 A356260 A132208 * A261538 A066595 A260266

Adjacent sequences: A233431 A233432 A233433 * A233435 A233436 A233437

Keyword

nonn

Author

Alexei Kourbatov, Dec 09 2013

Status

approved