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A223900 Li estimate of the number of primes in successive power of two intervals [2^i, 2^(i+1)) for i >= 1.

%I A223900 #13 Sep 08 2022 08:46:04
%S A223900 2,3,4,6,9,15,25,44,78,141,256,471,873,1625,3040,5713,10774,20385,
%T A223900 38684,73603,140374,268298,513811,985763,1894365,3646034,7027395,
%U A223900 13562528,26207171,50698756,98183852,190335311,369325054,717272497,1394195117,2712106284,5279770660,10285644688
%N A223900 Li estimate of the number of primes in successive power of two intervals [2^i, 2^(i+1)) for i >= 1.
%C A223900 The estimate is ceiling of Li(m) - Li(n) where m=2^(i+1) and n=2^i, i>=1.
%o A223900 (Magma)
%o A223900 for i := 1 to 100 do
%o A223900     x:=2^i;
%o A223900     y:=2^(i+1);
%o A223900     Ceiling(LogIntegral(y)-LogIntegral(x));
%o A223900 end for;
%Y A223900 Cf. A223853, A036378.
%K A223900 nonn
%O A223900 1,1
%A A223900 _Brad Clardy_, Mar 29 2013