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A233426 Primes p in prime sextuplets (p, p+4, p+6, p+10, p+12, p+16) at the end of the maximal gaps in A200503. 3
97, 16057, 43777, 1091257, 6005887, 14520547, 40660717, 87423097, 94752727, 112710877, 403629757, 1593658597, 2057241997, 5933145847, 6860027887, 14112464617, 23504713147, 24720149677, 29715350377, 29952516817, 45645253597, 53086708387, 58528934197, 93495691687, 97367556817 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Prime sextuplets (p, p+4, p+6, p+10, p+12, p+16) are densest permissible constellations of 6 primes. Maximal (record) gaps between prime sextuplets are listed in A200503; see further comments there.

LINKS

Alexei Kourbatov, Table of n, a(n) for n = 1..56

Tony Forbes, Prime k-tuplets

Alexei Kourbatov, Maximal gaps between prime k-tuples

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

Eric W. Weisstein, k-Tuple Conjecture

EXAMPLE

Two smallest prime sextuplets (p, p+4, p+6, p+10, p+12, p+16) start at p=7 and p=97; so a[1]=97. The gap of 15960 between sextuplets starting at p=97 and p=16057 is a record gap - larger than any preceding gap; so a[2]=16057. The next gap is not a record, so a new term is not added.

CROSSREFS

Cf. A022008, A200503, A200504.

Sequence in context: A218232 A219062 A218318 * A173129 A306480 A321041

Adjacent sequences:  A233423 A233424 A233425 * A233427 A233428 A233429

KEYWORD

nonn

AUTHOR

Alexei Kourbatov, Dec 09 2013

STATUS

approved

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Last modified June 26 20:30 EDT 2019. Contains 324380 sequences. (Running on oeis4.)