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

Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A066264 Number of composites < primorial(p) with all prime factors > p. 0
0, 0, 0, 5, 141, 2517, 49835, 1012858, 24211837, 721500293, 22627459400, 844130935667, 34729870646917, 1491483322755273, 69890000837179156 (list; graph; refs; listen; history; internal format)
OFFSET

1,4

COMMENTS

There is a simple relationship between this sequence and the number of primes < primorial(p), as given by A000849 and sequence A005867 which gives the number of composites in primorial(p+1) having (p+1) as their lowest prime factor: a(n) = n + A005867(n) - A000849(n) - 1. - Dennis Martin (dennis.martin(AT)dptechnology.com), Apr 15 2007

LINKS

Eric Weisstein's World of Mathematics, Link to a section of The World of Mathematics.

EXAMPLE

There are 5 composites < primorial(7) or 210 and whose prime factors are all larger than 7: 121 (11*11), 143 (11*13), 169 (13*13), 187 (11*17) and 209 (11*19).

CROSSREFS

Cf. A002110.

Cf. A000849, A005867.

Sequence in context: A136464 A203523 A006269 * A171776 A037049 A134503

Adjacent sequences:  A066261 A066262 A066263 * A066265 A066266 A066267

KEYWORD

nonn

AUTHOR

Patrick De Geest (pdg(AT)worldofnumbers.com), Dec 10 2001.

EXTENSIONS

More terms from Dennis Martin (dennis.martin(AT)dptechnology.com), Apr 15 2007

Offset corrected by Charles J. Daniels (chajadan(AT)gmail.com), Dec 06 2009

a(14)-a(15) from Donovan Johnson (donovan.johnson(AT)yahoo.com), May 03 2010

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

Content is available under The OEIS End-User License Agreement .

Last modified February 15 14:57 EST 2012. Contains 205823 sequences.