A100377 - OEIS

%I #7 Mar 31 2012 13:22:03

%S 3,7,36,297,2905,39083,603698,11637502,288086265,7728273214,

%T 251460107734

%N Number of prime numbers >= P(n)# and < P(n+1)# where P(i)=i-th prime, P(i)#=i-th primorial.

%C It appears that a(n) > P(n)#. Is this always true ?

%C Essentially the same as A072236. [From _R. J. Mathar_, Sep 02 2008]

%e P(1)#=2 P(2)#=6, 2 and 3 and 5 >= 2 and < 6 so a(1)=3

%K more,nonn

%O 1,1

%A _Pierre CAMI_, Dec 29 2004

%E More terms from _Bernardo Boncompagni_, Jun 28 2007