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Search: id:A003604
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| A003604 |
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Number of primes <= n!.
(Formerly M2815)
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+0
11
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| 0, 0, 1, 3, 9, 30, 128, 675, 4231, 30969, 258689, 2428956, 25306287, 289620751, 3610490805, 48686912930, 706003798139, 10953617995740
(list; graph; listen)
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OFFSET
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0,4
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COMMENT
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Number of distinct prime divisors of (n!)!, (A000197). - Jason Earls (zevi_35711(AT)yahoo.com), Jul 04 2001
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REFERENCES
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N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
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LINKS
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Index entries for sequences related to numbers of primes in various ranges
Andrew R. Booker, The Nth Prime Page
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MATHEMATICA
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Table[ PrimePi[ n! ], {n, 0, 17} ]
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PROGRAM
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(PARI) for(n=0, 10, print(omega(n!!))).
(Other) sage: [prime_pi(factorial(n)) for n in xrange(0, 14)] # [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Jun 06 2009]
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CROSSREFS
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Cf. A000197.
Sequence in context: A055730 A120018 A091353 this_sequence A058148 A031031 A034550
Adjacent sequences: A003601 A003602 A003603 this_sequence A003605 A003606 A003607
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KEYWORD
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hard,nonn
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com), Mira Bernstein, Robert G. Wilson v (rgwv(AT)rgwv.com)
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EXTENSIONS
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n=15 term from Judson McCranie (j.mccranie(AT)comcast.net); n=16, 17 from Paul.Zimmermann(AT)loria.fr (Paul Zimmermann).
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