This site is supported by donations to The OEIS Foundation.



Annual Appeal: Please make a donation (tax deductible in USA) to keep the OEIS running. Over 5000 articles have referenced us, often saying "we discovered this result with the help of the OEIS".

(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A233434 Primes p in prime triplets (p, p+2, p+6) at the end of the maximal gaps in A201598. 2
11, 41, 101, 191, 461, 641, 1091, 1871, 2657, 3251, 6827, 7877, 40427, 47711, 58907, 86111, 171047, 379007, 385391, 553097 (list; graph; refs; listen; history; text; internal format)



Prime triplets (p, p+2, p+6) are one of the two types of densest permissible constellations of 3 primes. Maximal gaps between triplets of this type are listed in A201598; see more comments there.


Alexei Kourbatov, Table of n, a(n) for n = 1..72

Tony Forbes, Prime k-tuplets

Alexei Kourbatov, Maximal gaps between prime triplets

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

Eric W. Weisstein, k-Tuple Conjecture


The gap of 6 between triplets starting at p=5 and p=11 is the very first gap, so a(1)=11. The gap of 6 between triplets starting at p=11 and p=17 is not a record, so a new term is not added. The gap of 24 between triplets starting at p=17 and p=41 is a record gap - larger than any preceding gap; therefore a(2)=41.


Cf. A022004, A201598, A201599.

Sequence in context: A065145 A030685 A132208 * A261538 A066595 A260266

Adjacent sequences:  A233431 A233432 A233433 * A233435 A233436 A233437




Alexei Kourbatov, Dec 09 2013



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

License Agreements, Terms of Use, Privacy Policy .

Last modified December 9 21:41 EST 2016. Contains 278987 sequences.