A229907 Initial primes in prime quadruplets (p, p+2, p+6, p+8) preceding the maximal gaps in A113404.

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

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 k-tuplets

Alexei Kourbatov, Maximal gaps between prime k-tuples

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, k-Tuple 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: A162252 A179388 A336623 * A181491 A375161 A006572

Adjacent sequences: A229904 A229905 A229906 * A229908 A229909 A229910

Keyword

nonn

Author

Alexei Kourbatov, Dec 19 2013

Status

approved