

A229907


Initial primes in prime quadruplets (p, p+2, p+6, p+8) preceding the maximal gaps in A113404.


3



5, 11, 191, 821, 2081, 3461, 5651, 25301, 34841, 88811, 122201, 171161, 301991, 739391, 1410971, 1468631, 2990831, 3741161, 5074871, 5527001, 8926451, 17186591, 21872441, 47615831, 66714671, 76384661, 87607361, 122033201, 132574061, 204335771
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OFFSET

1,1


COMMENTS

Prime quadruplets (p, p+2, p+6, p+8) are densest permissible constellations of four primes. Record (maximal) gaps between prime quadruplets are listed in A113404; see further comments there.


LINKS

Alexei Kourbatov, Table of n, a(n) for n = 1..71
Tony Forbes, Prime ktuplets
Alexei Kourbatov, Maximal gaps between prime ktuples
Alexei Kourbatov, Tables of record gaps between prime constellations, arXiv preprint arXiv:1309.4053 [math.NT], 2013.
Alexei Kourbatov and Marek Wolf, Predicting maximal gaps in sets of primes, arXiv preprint arXiv:1901.03785 [math.NT], 2019.
Eric W. Weisstein, kTuple Conjecture


EXAMPLE

Record gaps between prime quadruplets are as follows (arXiv:1309.4053, Table 4):
Initial primes: Max gap
.....5......11........6
....11.....101.......90
...191.....821......630
...821....1481......660
..2081....3251.....1170
..3461....5651.....2190
..5651....9431.....3780
...
The left column is this sequence (A229907). The middle column is A113403; the right column is A113404.


CROSSREFS

Cf. A007530, A113403, A113404.
Sequence in context: A036932 A162252 A179388 * A181491 A006572 A184934
Adjacent sequences: A229904 A229905 A229906 * A229908 A229909 A229910


KEYWORD

nonn


AUTHOR

Alexei Kourbatov, Dec 19 2013


STATUS

approved



