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A038605 a(n) = floor( prime(n)/n ). 15

%I #9 Mar 16 2017 15:49:54

%S 2,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,

%T 4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,

%U 5,4,4,4,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5

%N a(n) = floor( prime(n)/n ).

%H Robert Israel, <a href="/A038605/b038605.txt">Table of n, a(n) for n = 1..10000</a>

%F The prime number theorem is equivalent to the statement a(n) ~ log n. - Ahmed Fares (ahmedfares(AT)my-deja.com), Apr 25 2001

%p seq(floor(ithprime(n)/n), n=1..200); # _Robert Israel_, Mar 16 2017

%Y Cf. A000040.

%K nonn

%O 1,1

%A Vasiliy Danilov (danilovv(AT)usa.net) 1998 Jul

%E Corrected by _David Wasserman_, Feb 23 2006

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Last modified April 23 15:17 EDT 2024. Contains 371916 sequences. (Running on oeis4.)