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A060620
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Average of the first n primes rounded down.
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3
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2, 2, 3, 4, 5, 6, 8, 9, 11, 12, 14, 16, 18, 20, 21, 23, 25, 27, 29, 31, 33, 35, 38, 40, 42, 44, 46, 48, 51, 53, 55, 57, 60, 62, 65, 67, 69, 72, 74, 77, 79, 82, 84, 87, 89, 91, 94, 97, 99, 102, 104, 107, 110, 112, 115, 117, 120, 123, 125, 128, 130, 133, 136, 138, 141, 144
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,1
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COMMENTS
| Closely related to the prime number theorem; a(n) has the asymptotic expression n * log(n) / 2
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LINKS
| Harry J. Smith, Table of n, a(n) for n=1,...,1000
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FORMULA
| a(n) = floor(A007504(n) / n)
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EXAMPLE
| a(5) = floor{(2 + 3 + 5 + 7 + 11)/5} = 5.
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MATHEMATICA
| With[{prms=Prime[Range[500]]}, Table[Floor[Mean[Take[prms, n]]], {n, 70}]] (* From Harvey P. Dale, Mar 09 2011 *)
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PROG
| (PARI) { n=0; s=0; forprime (p=2, prime(1000), s+=p; write("b060620.txt", n++, " ", floor(s/n)); ) } [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), Jul 08 2009]
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CROSSREFS
| Cf. A007504.
Sequence in context: A025209 A125573 A034139 * A109968 A011872 A056822
Adjacent sequences: A060617 A060618 A060619 * A060621 A060622 A060623
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KEYWORD
| nonn,easy
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AUTHOR
| Ahmed Fares (ahmedfares(AT)my-deja.com), Apr 25 2001
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EXTENSIONS
| More terms from Larry Reeves (larryr(AT)acm.org), Jun 11 2001
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