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A233432 Primes p in prime quintuplets (p, p+2, p+6, p+8, p+12) at the end of the maximal gaps in A201073. 3
11, 101, 1481, 16061, 43781, 144161, 633461, 768191, 1573541, 1917731, 5928821, 11664551, 35930171, 54112601, 73467131 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Prime quintuplets (p, p+2, p+6, p+8, p+12) are one of the two types of densest permissible constellations of 5 primes. Maximal gaps between quintuplets of this type are listed in A201073; see more comments there.

LINKS

Alexei Kourbatov, Table of n, a(n) for n = 1..64

Tony Forbes, Prime k-tuplets

Alexei Kourbatov, Maximal gaps between prime quintuplets

Alexei Kourbatov, Tables of record gaps between prime constellations, arXiv preprint arXiv:1309.4053, 2013.

Eric W. Weisstein, k-Tuple Conjecture

EXAMPLE

The initial four gaps of 6, 90, 1380, 14580 (ending at p=11, 101, 1481, 16061) form an increasing sequence of records. Therefore a(1)=11, a(2)=101, a(3)=1481 and a(4)=16061. The next gap is not a record, so a new term is not added.

CROSSREFS

Cf. A022006, A201073, A201074.

Sequence in context: A072075 A088292 A135563 * A241100 A052075 A070854

Adjacent sequences:  A233429 A233430 A233431 * A233433 A233434 A233435

KEYWORD

nonn

AUTHOR

Alexei Kourbatov, Dec 09 2013

STATUS

approved

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Last modified October 1 14:07 EDT 2014. Contains 247511 sequences.