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A141468 Zero together with the nonprime numbers A018252. +0
187
0, 1, 4, 6, 8, 9, 10, 12, 14, 15, 16, 18, 20, 21, 22, 24, 25, 26, 27, 28, 30, 32, 33, 34, 35, 36, 38, 39, 40, 42, 44, 45, 46, 48, 49, 50, 51, 52, 54, 55, 56, 57, 58, 60, 62, 63, 64, 65, 66, 68, 69, 70, 72, 74, 75, 76, 77, 78, 80, 81, 82, 84, 85, 86, 87, 88 (list; graph; listen)
OFFSET

1,3

COMMENT

0 and 1 together with the composite numbers (A002808). [From Omar E. Pol (info(AT)polprimos.com), Jul 04 2009]

A141468 U A000040 = A001477 = A158611 U A002808. [From Juri-Stepan Gerasimov (2stepan(AT)rambler.ru), Jul 28 2009, Sep 27 2009]

Contribution from Omar E. Pol (info(AT)polprimos.com), Aug 13 2009: (Start)

The sequence of nonprime numbers (A018252) starts: 1,4,6,8,9,10,12,14,15,... (Offset=1). Note that zero is not a member of A018252 because the words "prime" and "nonprime" normally refer to the natural numbers or positive integers (1,2,3,4,5,6,...).

We know that the n-th nonprime is A018252(n). Then, about this sequence (A141468 with offset=1), we can write: A141468(n+1) = A018252(n), (See example and formula). (End)

Largest nonprime<nth nonprime (cf.A018252). [From Juri-Stepan Gerasimov (2stepan(AT)rambler.ru), Oct 29 2009]

The nonnegative nonprimes. If nonprime numbers A141468 which are also the nonnegative integers, then the nonprimes A141468 also called the nonnegative nonprimes and the nonprimes A018252 also called the natural nonprimes, the whole nonprimes, the counting nonprimes. [From Juri-Stepan Gerasimov (2stepan(AT)rambler.ru), Nov 22 2009]

LINKS

N. J. A. Sloane, Table of n, a(n) for n = 1..17739

FORMULA

a(1)=0. a(n)=A018252(n-1), n>1. [From Omar E. Pol (info(AT)polprimos.com), Aug 13 2009]

EXAMPLE

Contribution from Omar E. Pol (info(AT)polprimos.com), Aug 13 2009: (Start)

==============================

.................... The n-th

n ...... a(n) ...... nonprime

==============================

1 ....... 0 ........... 1

2 ....... 1 ........... 4

3 ....... 4 ........... 6

4 ....... 6 ........... 8

5 ....... 8 ........... 9

6 ....... 9 .......... 10

(End)

CROSSREFS

Cf. A018252.

Cf. A002808. [From Omar E. Pol (info(AT)polprimos.com), Jul 04 2009]

Sequence in context: A088224 A002808 A018252 this_sequence A077091 A051035 A046349

Adjacent sequences: A141465 A141466 A141467 this_sequence A141469 A141470 A141471

KEYWORD

nonn,new

AUTHOR

Juri-Stepan Gerasimov (2stepan(AT)rambler.ru), Aug 11 2008

EXTENSIONS

Added 68 by R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Aug 14 2008

Better definition from Omar E. Pol (info(AT)polprimos.com), Jun 30 2009

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Last modified December 13 23:45 EST 2009. Contains 170824 sequences.


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