A233432 Primes p in prime 5-tuples (p, p+2, p+6, p+8, p+12) at the end of the maximal gaps in A201073.

11, 101, 1481, 16061, 43781, 144161, 633461, 768191, 1573541, 1917731, 5928821, 11664551, 35930171, 54112601, 73467131

Offset: 1

Author

Alexei Kourbatov, Dec 09 2013

Keywords

• nonn

Comments

Prime quintuplets (p, p+2, p+6, p+8, p+12) are one of the two types of densest permissible constellations of 5 primes. Maximal gaps between quintuplets of this type are listed in A201073; see more comments there.

Examples

			The initial four gaps of 6, 90, 1380, 14580 (ending at p=11, 101, 1481, 16061) form an increasing sequence of records. Therefore a(1)=11, a(2)=101, a(3)=1481 and a(4)=16061. The next gap is not a record, so a new term is not added.
		

Links

• Alexei Kourbatov, Table of n, a(n) for n = 1..64
• Tony Forbes, Prime k-tuplets
• Alexei Kourbatov, Maximal gaps between prime 5-tuples
• Alexei Kourbatov, Tables of record gaps between prime constellations, arXiv preprint arXiv:1309.4053, 2013.
• Eric W. Weisstein, k-Tuple Conjecture

Crossrefs

Cf. A022006, A201073, A201074.