Search: id:A160759
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%I A160759
%S A160759 0,1,2,3,201,235,265,431,1705,11744,33946,622755,3446493,8134880,
%T A160759 14287916,208340425,223689468
%N A160759 Integer averages of n values of Pi(n^2) for some n, where Pi(n) is the 
               number of primes <= n.
%C A160759 For values of n: 1, 2, 3, 4, 62, 68, 73, 97, 213, 624, 1116, 5364, 13350, 
               21048, 28351, 116151, 120562, ..., . [From Robert G. Wilson v (rgwv(AT)rgwv.com), 
               Jun 05 2009]
%F A160759 1/k*Sum {j=1..k} PrimePi_(j^2) is an integer. [From Robert G. Wilson 
               v (rgwv(AT)rgwv.com), Jun 05 2009]
%t A160759 lst = {}; s = 0; k = 1; While[k < 239600, s = s + PrimePi[k^2]; If[ Mod[s, 
               k] == 0, AppendTo[lst, s/c]]; k++ ]; lst [From Robert G. Wilson v 
               (rgwv(AT)rgwv.com), Jun 05 2009]
%Y A160759 Cf. A050248, Integer averages of n primes for some n.
%Y A160759 Sequence in context: A042701 A106715 A106817 this_sequence A037274 A037275 
               A142960
%Y A160759 Adjacent sequences: A160756 A160757 A160758 this_sequence A160760 A160761 
               A160762
%K A160759 nonn
%O A160759 1,3
%A A160759 Daniel Tisdale (daniel6874(AT)gmail.com), May 25 2009
%E A160759 More terms from Robert G. Wilson v (rgwv(AT)rgwv.com), Jun 05 2009

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