A215260 - OEIS

%I #32 Feb 01 2025 15:51:30

%S 0,1,2,3,5,8,10,13,16,19,23,26,30,33,37,41,45,49,53,57,62,66,70,75,79,

%T 84,88,93,98,102,107,112,117,122,127,132,137,142,147,152,157,162,167,

%U 173,178,183,189,194,199,205,210,216,221,227,232,238,243,249,254,260,266,271,277,283,288,294,300,306,312,317,323,329,335,341,347,353,359,365,371,377

%N Nearest integer to log(A002110(n)).

%H Charles R Greathouse IV, <a href="/A215260/b215260.txt">Table of n, a(n) for n = 0..10000</a>

%F a(n) ~ n log n, a statement equivalent to the Prime Number Theorem. - _Charles R Greathouse IV_, Sep 23 2012

%t Round@ Log@ FoldList[ Times, 1, Prime@ Range@ 60] (* _Robert G. Wilson v_, Sep 16 2015 *)

%o (PARI) v=List([t=0]);forprime(p=2,200,t+=log(p);listput(v,round(t))); Vec(v) \\ _Charles R Greathouse IV_, Sep 23 2012

%o (PARI) a(n) = round(log(factorback(primes(n)))); \\ _Michel Marcus_, Jan 15 2025

%Y Cf. A002110, A016040, A057872, A092777, A215259.

%K nonn,changed

%O 0,3

%A _N. J. A. Sloane_, Sep 14 2012