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 A060620 Average of the first n primes rounded down. 9
 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; text; internal format)
 OFFSET 1,1 COMMENTS Closely related to the prime number theorem; a(n) has the asymptotic expression n * log(n) / 2. LINKS Harry J. Smith, Table of n, a(n) for n = 1..1000 Romeo Meštrović, Curious conjectures on the distribution of primes among the sums of the first 2n primes, arXiv:1804.04198 [math.NT], 2018. FORMULA a(n) = floor(A007504(n) / n). EXAMPLE a(5) = floor((2 + 3 + 5 + 7 + 11)/5) = 5. MATHEMATICA With[{prms=Prime[Range[500]]}, Table[Floor[Mean[Take[prms, n]]], {n, 70}]]  (* Harvey P. Dale, Mar 09 2011 *) PROG (PARI) { n=0; s=0; forprime (p=2, prime(1000), s+=p; write("b060620.txt", n++, " ", floor(s/n)); ) } \\ Harry J. Smith, Jul 08 2009 (PARI) a(n) = sum(k=1, n, prime(k))\n; \\ Michel Marcus, Jul 03 2018 CROSSREFS Cf. A007504. Sequence in context: A125573 A034139 A238886 * A109968 A011872 A056822 Adjacent sequences:  A060617 A060618 A060619 * A060621 A060622 A060623 KEYWORD nonn,easy AUTHOR Ahmed Fares (ahmedfares(AT)my-deja.com), Apr 25 2001 EXTENSIONS More terms from Larry Reeves (larryr(AT)acm.org), Jun 11 2001 STATUS approved

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Last modified April 26 11:46 EDT 2019. Contains 322472 sequences. (Running on oeis4.)