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A062298
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Number of nonprimes <= n.
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17
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1, 1, 1, 2, 2, 3, 3, 4, 5, 6, 6, 7, 7, 8, 9, 10, 10, 11, 11, 12, 13, 14, 14, 15, 16, 17, 18, 19, 19, 20, 20, 21, 22, 23, 24, 25, 25, 26, 27, 28, 28, 29, 29, 30, 31, 32, 32, 33, 34, 35, 36, 37, 37, 38, 39, 40, 41, 42, 42, 43, 43, 44, 45, 46, 47, 48, 48, 49, 50, 51, 51, 52, 52, 53
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refs;
listen;
history;
text;
internal format)
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OFFSET
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1,4
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COMMENTS
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a(n) = n - A000720(n). This is asymptotic to n - Li(n). Note that A062298(n) + A095117(n) = 2*n. - Jonathan Vos Post, Nov 22 2004
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LINKS
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Harry J. Smith, Table of n, a(n) for n=1,...,1000
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EXAMPLE
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a(19) = 11 as there are 8 primes up to 19 (inclusive).
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MAPLE
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NumComposites := proc(N::posint) local count, i:count := 0:for i from 1 to N do if not isprime(i) then count := count + 1 fi:od: count; end:seq(NumComposites(binomial(k+1, k)), k=0..73); - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), May 26 2008
A062298 := proc(n) n-numtheory[pi](n) ; end: seq(A062298(n), n=1..120) ; [From R. J. Mathar, Sep 27 2009]
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MATHEMATICA
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Table[n-PrimePi[n], {n, 80}] (* From Harvey P. Dale, May 10 2012 *)
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PROG
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(PARI) { for (n=1, 1000, write("b062298.txt", n, " ", n-primepi(n)) ) } [From Harry J. Smith, Aug 04 2009]
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CROSSREFS
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a(n)=n-A000720(n).
Sequence in context: A174231 A072509 A197432 * A116579 A156253 A060151
Adjacent sequences: A062295 A062296 A062297 * A062299 A062300 A062301
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KEYWORD
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nonn,changed
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AUTHOR
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Amarnath Murthy (amarnath_murthy(AT)yahoo.com), Jun 19 2001
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EXTENSIONS
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Corrected and extended by Vladeta Jovovic, Jun 22 2001
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STATUS
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approved
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