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

Author

Alexei Kourbatov, Dec 09 2013

Keywords

• nonn

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.

Examples

			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.
		

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

Crossrefs

Cf. A022004, A201598, A201599.