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.

88799, 284729, 626609, 6560999, 17843459, 42981929, 69156539, 124066079, 208729049, 615095849, 832143449, 1730416139, 2488117769, 3693221669, 12171651629, 31152738299, 34230869579, 63550891499, 69428293379, 89858819579, 164310445289, 197856064319

Offset: 1

Author

Alexei Kourbatov, Dec 08 2013

Keywords

• nonn

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.

Examples

			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.
		

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

Crossrefs

Cf. A022010, A201251, A201252

Extensions

Terms a(11) and beyond from b-file by Andrew Howroyd, Feb 05 2018