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A233425
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Primes p in prime septuplets (p, p+2, p+6, p+8, p+12, p+18, p+20) at the end of the maximal gaps in A201051.
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3
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165701, 1068701, 11900501, 39431921, 67816361, 124716071, 300768311, 428319371, 661972301, 1346761511, 1699221521, 3205239881, 10540522241, 16206106991, 23911479071, 38749334621, 159330579041, 351146640191, 383960791211, 714031248641, 2881987944371, 3381911721101, 5105053487531
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OFFSET
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1,1
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COMMENTS
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Prime septuplets (p, p+2, p+6, p+8, p+12, 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 A201051; see more comments there.
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LINKS
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Alexei Kourbatov, Table of n, a(n) for n = 1..36
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
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EXAMPLE
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The gap of 165690 between septuplets starting at p=11 and p=165701 is the very first gap, so a(1)=165701. The gap of 903000 between septuplets starting at p=165701 and p=1068701 is a maximal (record) gap - larger than any preceding gap; therefore a(2)=1068701. The next gap of 10831800 ending at p=11900501 is again a record, so a(3)=11900501. The next gap is smaller, so a new term is not added to the sequence.
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CROSSREFS
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Cf. A022009, A201051, A201249.
Sequence in context: A352974 A327942 A201051 * A183834 A203274 A061741
Adjacent sequences: A233422 A233423 A233424 * A233426 A233427 A233428
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KEYWORD
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nonn
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AUTHOR
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Alexei Kourbatov, Dec 09 2013
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STATUS
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approved
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