%I A060620
%S A060620 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,
%T A060620 46,48,51,53,55,57,60,62,65,67,69,72,74,77,79,82,84,87,89,91,94,97,99,
%U A060620 102,104,107,110,112,115,117,120,123,125,128,130,133,136,138,141,144
%N A060620 Average of the first n primes rounded down.
%C A060620 Closely related to the prime number theorem; a(n) has the asymptotic
expression n * log(n) / 2
%H A060620 Harry J. Smith, <a href="b060620.txt">Table of n, a(n) for n=1,...,1000</
a>
%F A060620 a(n) = floor(A007504(n) / n)
%e A060620 a(5) = floor{(2 + 3 + 5 + 7 + 11)/5} = 5.
%o A060620 (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]
%Y A060620 Cf. A007504.
%Y A060620 Sequence in context: A025209 A125573 A034139 this_sequence A109968 A011872
A056822
%Y A060620 Adjacent sequences: A060617 A060618 A060619 this_sequence A060621 A060622
A060623
%K A060620 nonn,easy
%O A060620 1,1
%A A060620 Ahmed Fares (ahmedfares(AT)my-deja.com), Apr 25 2001
%E A060620 More terms from Larry Reeves (larryr(AT)acm.org), Jun 11 2001
|