A233425 Primes p in prime septuplets (p, p+2, p+6, p+8, p+12, p+18, p+20) at the end of the maximal gaps in A201051.

165701, 1068701, 11900501, 39431921, 67816361, 124716071, 300768311, 428319371, 661972301, 1346761511, 1699221521, 3205239881, 10540522241, 16206106991, 23911479071, 38749334621, 159330579041, 351146640191, 383960791211, 714031248641, 2881987944371, 3381911721101, 5105053487531

Offset

1,1

Comments

Prime septuplets (p, p+2, p+6, p+8, p+12, p+18, p+20) are one of the two types of densest permissible constellations of 7 primes. Maximal gaps between septuplets of this type are listed in A201051; see more comments there.

Links

Alexei Kourbatov, Table of n, a(n) for n = 1..36

Tony Forbes, Prime k-tuplets

Alexei Kourbatov, Maximal gaps between prime septuplets

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 165690 between septuplets starting at p=11 and p=165701 is the very first gap, so a(1)=165701. The gap of 903000 between septuplets starting at p=165701 and p=1068701 is a maximal (record) gap - larger than any preceding gap; therefore a(2)=1068701. The next gap of 10831800 ending at p=11900501 is again a record, so a(3)=11900501. The next gap is smaller, so a new term is not added to the sequence.

Crossrefs

Cf. A022009, A201051, A201249.

Sequence in context: A352974 A327942 A201051 * A183834 A203274 A061741

Adjacent sequences: A233422 A233423 A233424 * A233426 A233427 A233428

Keyword

nonn

Author

Alexei Kourbatov, Dec 09 2013

Status

approved