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A233038 Primes p in prime septuplets (p, p+2, p+8, p+12, p+14, p+18, p+20) at the end of the maximal gaps in A201251. 3
88799, 284729, 626609, 6560999, 17843459, 42981929, 69156539, 124066079, 208729049, 615095849 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Prime septuplets (p, p+2, p+8, p+12, p+14, p+18, p+20) are one of the two types of densest permissible constellations of 7 primes. Maximal gaps between septuplets of this type are listed in A201251; see comments and formulas there.

LINKS

Alexei Kourbatov, Table of n, a(n) for n = 1..52

Tony Forbes, Prime k-tuplets

Alexei Kourbatov, Maximal gaps between prime septuplets

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

Eric W. Weisstein, k-Tuple Conjecture

EXAMPLE

The gap of 83160 between septuplets starting at p=5639 and p=88799 is the very first gap, so a(1)=88799. The gap of 195930 between septuplets starting at p=88799 and p=284729 is a maximal (record) gap - larger than any preceding gap; therefore a(2)=284729. The next gap of 341880 ending at 626609 is again a record, so a(3)=626609. The next gap is smaller, so that gap does not contribute a new term to the sequence.

CROSSREFS

Cf. A022010, A201251, A201252

Sequence in context: A031857 A022548 A022013 * A205835 A237902 A184028

Adjacent sequences:  A233035 A233036 A233037 * A233039 A233040 A233041

KEYWORD

nonn

AUTHOR

Alexei Kourbatov, Dec 08 2013

STATUS

approved

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Last modified July 28 00:26 EDT 2014. Contains 244987 sequences.