This site is supported by donations to The OEIS Foundation.



Annual Appeal: Today, Nov 11 2014, is the 4th anniversary of the launch of the new OEIS web site. 70,000 sequences have been added in these four years, all edited by volunteers. Please make a donation (tax deductible in the US) to help keep the OEIS running.

(Greetings from The On-Line Encyclopedia of Integer Sequences!)
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



Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Transforms | Superseeker | Recent | More pages
The OEIS Community | Maintained by The OEIS Foundation Inc.

Content is available under The OEIS End-User License Agreement .

Last modified December 22 05:04 EST 2014. Contains 252328 sequences.