login
This site is supported by donations to The OEIS Foundation.

 

Logo

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".

Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A233435 Primes p in prime triplets (p, p+4, p+6) at the end of the maximal gaps in A201596. 2
13, 37, 67, 193, 457, 613, 823, 2377, 2683, 3163, 3847, 5227, 6547, 10267, 15643, 25303, 47143, 54493 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Prime triplets (p, p+4, 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 A201596; see more comments there.

LINKS

Alexei Kourbatov, Table of n, a(n) for n = 1..79

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

EXAMPLE

The gap of 6 between triplets starting at p=7 and p=13 is the very first gap, so a(1)=13. The gap of 24 between triplets starting at p=13 and p=37 is a maximal (record) gap - larger than any preceding gap; therefore a(2)=37. The gap of 30 between triplets at p=37 and p=67 is again a record, so a(3)=67. The next gap is smaller, so a new term is not added to the sequence.

CROSSREFS

Cf. A022005, A201596, A201597.

Sequence in context: A118071 A147207 A146877 * A049742 A247867 A113601

Adjacent sequences:  A233432 A233433 A233434 * A233436 A233437 A233438

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 | More pages
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy .

Last modified December 7 21:15 EST 2016. Contains 278895 sequences.