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A201597 Initial prime in prime triples (p, p+4, p+6) preceding the maximal gaps in A201596. 3
7, 13, 37, 103, 307, 457, 613, 2137, 2377, 2797, 3463, 4783, 5737, 9433, 14557, 24103, 45817, 52177, 126487, 317587, 580687, 715873, 2719663, 6227563, 8114857, 10085623, 10137493, 18773137, 21297553, 25291363, 43472497, 52645423, 69718147, 80002627, 89776327 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Prime triples (p, p+4, p+6) are one of the two types of densest permissible constellations of 3 primes. Maximal gaps between triples of this type are listed in A201596; see more comments there.

LINKS

Alexei Kourbatov, Table of n, a(n) for n = 1..79

Tony Forbes, Prime k-tuplets

Alexei Kourbatov, Maximal gaps between prime triples

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

The gap of 6 between triples starting at p=7 and p=13 is the very first gap, so a(1)=7. The gap of 24 between triples starting at p=13 and p=37 is a maximal gap - larger than any preceding gap; therefore a(2)=13. The gap of 30 between triples at p=37 and p=67 is again a maximal gap, so a(3)=37. The next gap is smaller, so it does not contribute to the sequence.

CROSSREFS

Cf. A022005 (prime triples p, p+4, p+6), A201596.

Sequence in context: A094069 A052378 A090607 * A158375 A144729 A123250

Adjacent sequences:  A201594 A201595 A201596 * A201598 A201599 A201600

KEYWORD

nonn

AUTHOR

Alexei Kourbatov, Dec 03 2011

STATUS

approved

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Last modified October 19 21:16 EDT 2019. Contains 328229 sequences. (Running on oeis4.)