%I A016040
%S A016040 0,1,3,5,7,10,13,16,19,22,26,29,33,37,40,44,49,53,57,61,65,70,74,79,
%T A016040 83,88,92,97,102,107,111,116,121,126,131,136,141,146,151,157,162,
%U A016040 167,172,177,183,188,193,199,204,210,215,221,226,232,237,243,248
%N A016040 Integer part of Chebyshev's theta function: Floor [ ln Product_{k=1..n} 
               prime(k) ].
%D A016040 J. W. Sander, A story of binomial coefficients and primes, Amer. Math. 
               Monthly 102 (1995), 802-807.
%F A016040 a(n) = A000195(A002110(n)).
%F A016040 a(n) ~ n log n by the prime number theorem.
%t A016040 Table[Floor[N[Sum[Log[Prime[x]], {x, 1, n}]]], {n, 1, 1000}] - Artur 
               Jasinski (grafix(AT)csl.pl), Jan 23 2007
%Y A016040 Sequence in context: A079511 A092757 A062430 this_sequence A003070 A036604 
               A001768
%Y A016040 Adjacent sequences: A016037 A016038 A016039 this_sequence A016041 A016042 
               A016043
%K A016040 nonn
%O A016040 1,3
%A A016040 Robert G. Wilson v (rgwv(AT)rgwv.com)
%E A016040 Added asymptotic formula and name. - Charles R Greathouse IV Dec 11 2008