A080102 - OEIS

%I #4 Mar 30 2012 18:50:31

%S 4,1,8,1,16,1,1,25,1,32,1,1,1,49,1,1,64,1,1,1,81,1,1,1,1,1,1,1,121,

%T 128,1,1,1,1,1,1,1,169,1,1,1,1,1,1,1,1,1,1,1,1,1,243,256,1,1,1,1,1,1,

%U 289,1,1,1,1,1,1,343,1,1,1,361,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1

%N Smallest prime power in all composite numbers between n-th prime and next prime, a(n)=1 if no such prime power exists.

%e There are two prime powers between 32749=A000040(3512) and 32771=A000040(3513): 32761=181^2 and 32768=2^15, therefore a(3512)=32761, A080103(3512)=32768 and A080101(3512)=2.

%Y Cf. A080101, A080103, A025475, A000961.

%K nonn

%O 2,1

%A _Reinhard Zumkeller_, Jan 28 2003