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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 (list; graph; refs; listen; history; text; internal format)
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: A036932 A162252 A179388 * A181491 A006572 A184934

Adjacent sequences:  A229904 A229905 A229906 * A229908 A229909 A229910

KEYWORD

nonn

AUTHOR

Alexei Kourbatov, Dec 19 2013

STATUS

approved

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Last modified September 26 20:36 EDT 2020. Contains 337374 sequences. (Running on oeis4.)