A223166 Integer nearest to Li(10^n) - Li(3), where Li(x) = integral(0..x, dt/log(t)).
4, 28, 175, 1244, 9628, 78625, 664916, 5762207, 50849233, 455055612, 4118066398, 37607950279, 346065645808, 3204942065690, 29844571475285, 279238344248555, 2623557165610820, 24739954309690413, 234057667376222380, 2220819602783663481
Offset: 1
Keywords
Links
- Vladimir Pletser, Table of n, a(n) for n = 1..1000
- Eric Weisstein's World of Mathematics, Prime Counting Function
- Eric Weisstein's World of Mathematics, Logarithmic Integral
Programs
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Maple
seq(round(evalf(integrate(1/log(t), t=3..10^n))), n=1..1000);
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Mathematica
Table[Round[LogIntegral[10^n]-LogIntegral[3]],{n,30}] (* Harvey P. Dale, Aug 24 2022 *)
Formula
a(n) = round(Li( 10^n)-Li(3)).