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A057793
Integer nearest Riemann(10^n), where Riemann(x) = Sum_{k=1..infinity} mu(k)/k * Integral Log( x^(1/k) ).
8
5, 26, 168, 1227, 9587, 78527, 664667, 5761552, 50847455, 455050683, 4118052495, 37607910542, 346065531066, 3204941731602, 29844570495887, 279238341360977, 2623557157055978, 24739954284239494, 234057667300228940
OFFSET
1,1
COMMENTS
Riemann(x) is Riemann's approximation for the number of primes less than x.
REFERENCES
John H. Conway and R. K. Guy, "The Book of Numbers," Copernicus, an imprint of Springer-Verlag, NY, 1996, page 144-146.
LINKS
Vladimir Pletser, Table of n, a(n) for n = 1..100 [a(40) corrected by David Baugh, Oct 11 2020]
Eric Weisstein's World of Mathematics, Riemann Prime Counting Function
MATHEMATICA
Rie[n_Integer] := Sum[N[LogIntegral[n^(1/k)]*MoebiusMu[k]/k, 36], {k, 1, 5!}]; Table[Round[Rie[10^n]], {n, 1, 21}]
Table[Round@N[RiemannR[10^n], 50], {n, 21}] (* Arkadiusz Wesolowski, Dec 30 2011 *)
CROSSREFS
Sequence in context: A349882 A209672 A367041 * A090226 A355672 A356597
KEYWORD
nonn
AUTHOR
Robert G. Wilson v, Nov 04 2000
EXTENSIONS
a(1) corrected by Chris Katscher (spatch3(AT)yahoo.com), May 25 2003
a(20) to a(100) from Vladimir Pletser, Aug 10 2013
STATUS
approved