This site is supported by donations to The OEIS Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A233434 Primes p in prime triples (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)
 OFFSET 1,1 COMMENTS Prime triples (p, p+2, p+6) are one of the two types of densest permissible constellations of 3 primes. Maximal gaps between triples of this type are listed in A201598; see more comments there. LINKS Alexei Kourbatov, Table of n, a(n) for n = 1..72 Tony Forbes, Prime k-tuplets Alexei Kourbatov, Maximal gaps between prime triples Alexei Kourbatov, Tables of record gaps between prime constellations, arXiv preprint arXiv:1309.4053, 2013. Eric W. Weisstein, k-Tuple Conjecture EXAMPLE The gap of 6 between triples starting at p=5 and p=11 is the very first gap, so a(1)=11. The gap of 6 between triples starting at p=11 and p=17 is not a record, so a new term is not added. The gap of 24 between triples starting at p=17 and p=41 is a record gap - larger than any preceding gap; therefore a(2)=41. CROSSREFS Cf. A022004, A201598, A201599. Sequence in context: A065145 A030685 A132208 * A261538 A066595 A260266 Adjacent sequences:  A233431 A233432 A233433 * A233435 A233436 A233437 KEYWORD nonn AUTHOR Alexei Kourbatov, Dec 09 2013 STATUS approved

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

Last modified October 18 02:23 EDT 2019. Contains 328135 sequences. (Running on oeis4.)