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 A113403 Primes p in prime quadruplets (p,p+2,p+6,p+8) at the end of maximal gaps in A113404. 3
 11, 101, 821, 1481, 3251, 5651, 9431, 31721, 43781, 97841, 135461, 187631, 326141, 768191, 1440581, 1508621, 3047411, 3798071, 5146481, 5610461, 9020981, 17301041, 22030271 (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 Jud McCranie and 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, 2013. 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 A229907. The middle column is A113403 (this sequence); the right column is A113404. CROSSREFS Record gaps are given in A113404. Cf. A007530, A002386. Sequence in context: A057532 A193699 A001603 * A045624 A125399 A163146 Adjacent sequences:  A113400 A113401 A113402 * A113404 A113405 A113406 KEYWORD nonn AUTHOR Bernardo Boncompagni, Oct 28 2005 STATUS approved

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Last modified December 5 12:04 EST 2020. Contains 338947 sequences. (Running on oeis4.)