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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)



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.


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


Record gaps between prime quadruplets are as follows (arXiv:1309.4053, Table 4):

Initial primes: Max gap









The left column is A229907. The middle column is A113403 (this sequence); the right column is A113404.


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




Bernardo Boncompagni, Oct 28 2005



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