Search: id:A065914
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%I A065914
%S A065914 1,3,8,38,294,2922,38949,604764,11635147,287020007,7721129740,
%T A065914 250811981714
%N A065914 Primes in interval [ q(n)/2, q(n)/2+q(n)-1 ] for primorial q(n).
%C A065914 Does lim q(n)/a(n+1) converge?
%F A065914 a(n) = pi( 3*q(n)/2 -1 ) - pi( q(n)/2 -1 ).
%e A065914 a(2) = 3 primes in [3,9], 9-3 = 6 = q(2) = 3*2. a(3) = 8 primes in [15,
               45], 45-15 = 30 = q(3) = 5*6. a(4) = 38 primes in [105,315], 315-105 
               = 210 = q(4) = 7*30.
%o A065914 (PARI) pi(x)=c=0; forprime(p=2,x,c++); c q(n) = prod(k=1,n, prime(k)) 
               a(n) = pi(3*q(n)/2-1)-pi(q(n)/2-1) for(n=1,11,print1(a(n),","))
%Y A065914 q(n) = A002110(n), pi(n) = A000720(n).
%Y A065914 Sequence in context: A089066 A099030 A106558 this_sequence A108262 A034892 
               A072687
%Y A065914 Adjacent sequences: A065911 A065912 A065913 this_sequence A065915 A065916 
               A065917
%K A065914 nonn,more
%O A065914 1,2
%A A065914 frank.ellermann(AT)t-online.de, Dec 07 2001
%E A065914 Corrected by Jason Earls (zevi_35711(AT)yahoo.com), Dec 19 2001

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