

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
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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 ktuplets
Alexei Kourbatov, Maximal gaps between prime ktuples
Alexei Kourbatov, Tables of record gaps between prime constellations, arXiv preprint arXiv:1309.4053, 2013.
Eric W. Weisstein, kTuple 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



