

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
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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 ktuplets
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, kTuple 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: A286519 A088292 A135563 * A052075 A070854 A075767
Adjacent sequences: A233429 A233430 A233431 * A233433 A233434 A233435


KEYWORD

nonn


AUTHOR

Alexei Kourbatov, Dec 09 2013


STATUS

approved



