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!)
A233432 Primes p in prime quintuplets (p, p+2, p+6, p+8, p+12) at the end of the maximal gaps in A201073. 3
11, 101, 1481, 16061, 43781, 144161, 633461, 768191, 1573541, 1917731, 5928821, 11664551, 35930171, 54112601, 73467131 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Prime quintuplets (p, p+2, p+6, p+8, 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 A201073; see more comments there.

LINKS

Alexei Kourbatov, Table of n, a(n) for n = 1..64

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

EXAMPLE

The initial four gaps of 6, 90, 1380, 14580 (ending at p=11, 101, 1481, 16061) form an increasing sequence of records. Therefore a(1)=11, a(2)=101, a(3)=1481 and a(4)=16061. The next gap is not a record, so a new term is not added.

CROSSREFS

Cf. A022006, A201073, A201074.

Sequence in context: A265427 A088292 A135563 * A052075 A070854 A075767

Adjacent sequences:  A233429 A233430 A233431 * A233433 A233434 A233435

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 9 16:22 EST 2016. Contains 278985 sequences.