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

 

Logo

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.

Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A164642 Numbers n such that n, n + 4 and n + 6 are prime powers. 2
1, 3, 5, 7, 13, 19, 23, 25, 37, 43, 67, 97, 103, 121, 163, 193, 223, 277, 307, 343, 457, 613, 823, 853, 877, 1087, 1297, 1423, 1447, 1483, 1663, 1693, 1783, 1867, 1873, 1993, 2083, 2137, 2203, 2377, 2683, 2707, 2797, 3163, 3253, 3457, 3463, 3847, 4153, 4513 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Numbers n such that n + (0, 4, 6) is a prime power triplet.

Prime power triplets with pattern n + (0, 4, 6), a generalization of the prime triplets with pattern n + (0, 4, 6). The prime triplets with pattern n + (0, 4, 6) are a subsequence.

n + (0, 2, 6), being an admissible pattern for prime triples, since (0, 2, 6) = (0, 0, 0) (mod 2) = (0, 2, 0) (mod 3), has high density.

n + (0, 4, 6), being an admissible pattern for prime triples, since (0, 4, 6) = (0, 0, 0) (mod 2) = (0, 1, 0) (mod 3), has high density.

n + (0, 2, 4), being a non-admissible pattern for prime triples, since (0, 2, 4) = (0, 0, 0) (mod 2) = (0, 2, 1) (mod 3), has low density.

LINKS

Daniel Forgues, Table of n, a(n) for n=1..262

CROSSREFS

Cf. A164641 Numbers n such that n, n+2 and n+6 are prime powers.

Sequence in context: A219674 A075571 A077133 * A247633 A120460 A127459

Adjacent sequences:  A164639 A164640 A164641 * A164643 A164644 A164645

KEYWORD

nonn

AUTHOR

Daniel Forgues, Aug 18 2009

STATUS

approved

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 21 20:27 EST 2014. Contains 252326 sequences.