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A233433 Primes p in prime quintuplets (p, p+4, p+6, p+10, p+12) at the end of the maximal gaps in A201062. 3
97, 1867, 5647, 15727, 43777, 79687, 257857, 1830337, 3995437, 5732137, 9127627, 9933607, 16915267, 23317747, 32582437, 38028577 (list; graph; refs; listen; history; text; internal format)



Prime quintuplets (p, p+4, p+6, p+10, 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 A201062; see more comments there.


Alexei Kourbatov, Table of n, a(n) for n = 1..71

Tony Forbes, Prime k-tuplets

Alexei Kourbatov, Maximal gaps between prime quintuplets

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

Eric W. Weisstein, k-Tuple Conjecture


The gap of 90 between quintuplets starting at p=7 and p=97 is the very first gap, so a(1)=97. The gap of 1770 between quintuplets starting at p=97 and p=1867 is a maximal (record) gap - larger than any preceding gap; therefore a(2)=1867. The gap after p=1867 is smaller, so a new term is not added.


Cf. A022007, A201062, A201063.

Sequence in context: A038532 A226082 A092272 * A162542 A241968 A020538

Adjacent sequences:  A233430 A233431 A233432 * A233434 A233435 A233436




Alexei Kourbatov, Dec 09 2013



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Last modified December 9 06:44 EST 2016. Contains 278963 sequences.