

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, 832143449, 1730416139, 2488117769, 3693221669, 12171651629, 31152738299, 34230869579, 63550891499, 69428293379, 89858819579, 164310445289, 197856064319
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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 ktuplets
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, kTuple 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


EXTENSIONS

Terms a(11) and beyond from bfile by Andrew Howroyd, Feb 05 2018


STATUS

approved



