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A141468
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Zero together with the nonprime numbers A018252.
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197
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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; refs; listen; history; internal format)
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OFFSET
| 1,3
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COMMENTS
| 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]
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). - Omar E. Pol, Aug 13 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]
Numbers n such that n-th prime*n is not semiprime. [From Juri-Stepan Gerasimov (2stepan(AT)rambler.ru), Sep 27 2010]
The nonnegative numbers that are not primes. First differences give A054546. - Omar E. Pol, Oct 21 2011
There are a large number of sequences in the OEIS in which is written that a(n) is the n-th nonprime, which is wrong. The n-th nonprime is A018252(n). See formulas. - Omar E. Pol, Oct 21 2011
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LINKS
| N. J. A. Sloane, Table of n, a(n) for n = 1..17739
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FORMULA
| a(1) = 0. a(n) = A018252(n-1), n > 1. - Omar E. Pol, Aug 13 2009
a(n) = A018252(n) - A054546(n). - Omar E. Pol, Oct 21 2011
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MAPLE
| A141468 := proc(n) option remember; local a; if n <=2 then n-1 ; else for a from procname(n-1)+1 do if not isprime(a) then return a; end if; end do; end if; end proc: # R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Dec 13 2010
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CROSSREFS
| Cf. A018252.
Cf. A002808. [From Omar E. Pol (info(AT)polprimos.com), Jul 04 2009]
Sequence in context: A088224 A002808 A018252 * A140209 A140347 A077091
Adjacent sequences: A141465 A141466 A141467 * A141469 A141470 A141471
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KEYWORD
| nonn
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AUTHOR
| Juri-Stepan Gerasimov (2stepan(AT)rambler.ru), Aug 11 2008
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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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