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A201599 Initial primes in prime triplets (p, p+2, p+6) preceding the maximal gaps in A201598. 3
5, 17, 41, 107, 347, 461, 881, 1607, 2267, 2687, 6197, 6827, 39227, 46181, 56891, 83267, 167621, 375251, 381527, 549161, 741677, 805031, 931571, 2095361, 2428451, 4769111, 4938287, 12300641, 12652457, 13430171, 14094797, 18074027, 29480651, 107379731, 138778301, 156377861 (list; graph; refs; listen; history; text; internal format)



Prime triplets (p, p+2, p+6) are one of the two types of densest permissible constellations of 3 primes. Maximal gaps between triplets of this type are listed in A201598; see more comments there.


Alexei Kourbatov, Table of n, a(n) for n = 1..72

Tony Forbes, Prime k-tuplets

Alexei Kourbatov, Maximal gaps between prime triplets

Alexei Kourbatov, Tables of record gaps between prime constellations, arXiv preprint arXiv:1309.4053, 2013.

Eric W. Weisstein, k-Tuple Conjecture


The gap of 6 between triplets starting at p=5 and p=11 is the very first gap, so a(1)=5. The gap of 6 between triplets starting at p=11 and p=17 is not a record, so it does not contribute to the sequence. The gap of 24 between triplets starting at p=17 and p=41 is a maximal gap - larger than any preceding gap; therefore a(2)=17.


Cf. A022004 (prime triplets p, p+2, p+6), A201598.

Sequence in context: A086499 A097123 A139562 * A246636 A146794 A146834

Adjacent sequences:  A201596 A201597 A201598 * A201600 A201601 A201602




Alexei Kourbatov, Dec 03 2011



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Last modified December 21 12:18 EST 2014. Contains 252320 sequences.