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

1,1

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

Formula

a(n) = round(Li( 10^n)-Li(3)).

Maple

seq(round(evalf(integrate(1/log(t), t=3..10^n))), n=1..1000);

Mathematica

Table[Round[LogIntegral[10^n]-LogIntegral[3]], {n, 30}] (* Harvey P. Dale, Aug 24 2022 *)

Crossrefs

Cf. A057754, A006880, A190802.

Sequence in context: A125687 A272791 A291918 * A026298 A181895 A264707

Adjacent sequences: A223163 A223164 A223165 * A223167 A223168 A223169

Keyword

nonn

Author

Vladimir Pletser, Mar 16 2013

Status

approved