|
Search: id:A014689
|
|
|
| A014689 |
|
a(n) = prime(n)-n, the number of nonprimes less than prime(n). |
|
+0
27
|
|
| 1, 1, 2, 3, 6, 7, 10, 11, 14, 19, 20, 25, 28, 29, 32, 37, 42, 43, 48, 51, 52, 57, 60, 65, 72, 75, 76, 79, 80, 83, 96, 99, 104, 105, 114, 115, 120, 125, 128, 133, 138, 139, 148, 149, 152, 153, 164, 175, 178, 179, 182, 187, 188, 197, 202, 207, 212, 213, 218, 221, 222
(list; graph; listen)
|
|
|
OFFSET
|
1,3
|
|
|
COMMENT
|
a[n]=A014689[n]=A048864[A000040(n)]=number of nonprimes in RRS of n-th prime. - Labos E. (labos(AT)ana.sote.hu), Oct 10 2002
Contribution from Enoch Haga (Enokh(AT)comcast.net), May 25 2009: (Start)
A000040 - A014689 = A000027; in other words, the sequence of natural numbers
subtracted from the prime sequence produces A014689. (End)
a(n) = A000040(n) - n. a(n) = inverse (frequency distribution) sequence of A073425(n), i.e. number of terms of sequence A073425(n) less than n. a(n) = A065890(n) + 1, for n >= 1. a(n) - 1 = A065890(n) = the number of composite numbers, i.e. (A002808) less than n-th primes, (i.e. < A000040(n)). [From Jaroslav Krizek (jaroslav.krizek(AT)atlas.cz), Jun 27 2009]
a(n) = A162177(n+1) + 1, for n >= 1. a(n) - 1 = A162177(n+1) = the number of composite numbers, i.e. (A002808) less than (n+1)-th number of set {1, primes}, (i.e. < A158611(n+1)). [From Jaroslav Krizek (jaroslav.krizek(AT)atlas.cz), Jun 28 2009]
|
|
LINKS
|
T. D. Noe, Table of n, a(n) for n=1..1000
|
|
MATHEMATICA
|
Table[Prime[n] - n, {n, 61}] (Alonso Delarte)
|
|
CROSSREFS
|
Cf. A000040. Equals A014692 - 1.
Cf. A033286.
A000027 [From Enoch Haga (Enokh(AT)comcast.net), May 25 2009]
Cf. A000040, A158611, A002808, A065890. [From Jaroslav Krizek (jaroslav.krizek(AT)atlas.cz), Jun 27 2009]
Sequence in context: A042964 A062837 A073170 this_sequence A117206 A026443 A032858
Adjacent sequences: A014686 A014687 A014688 this_sequence A014690 A014691 A014692
|
|
KEYWORD
|
nonn,easy,nice
|
|
AUTHOR
|
Mohammad K. Azarian (ma3(AT)evansville.edu)
|
|
EXTENSIONS
|
More terms from Vasiliy Danilov (danilovv(AT)usa.net) 1998 Jul
|
|
|
Search completed in 0.003 seconds
|
