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A233432 Primes p in prime 5-tuples (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
Tony Forbes, Prime k-tuplets
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
Sequence in context: A286519 A088292 A135563 * A052075 A070854 A075767
KEYWORD
nonn
AUTHOR
Alexei Kourbatov, Dec 09 2013
STATUS
approved

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Last modified May 22 17:27 EDT 2024. Contains 372758 sequences. (Running on oeis4.)