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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.)