%I A057793
%S A057793 5,26,168,1227,9587,78527,664667,5761552,50847455,455050683,4118052495,
%T A057793 37607910542,346065531066,3204941731602,29844570495887,279238341360977,
%U A057793 2623557157055978,24739954284239494,234057667300228940
%N A057793 Integer nearest Riemann(10^n), where Riemann(x) = Sum of ( mu(k)/k * 
               Integral Log( x^(1/k) ) for k = 1 to infinity.
%C A057793 Riemann(x) is Riemann's approximation for the number of primes less than 
               x.
%D A057793 John H. Conway and R. K. Guy, "The Book of Numbers," Copernicus, an imprint 
               of Springer-Verlag, NY, 1996, page 144-146.
%H A057793 Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/
               RiemannPrimeNumberFormula.html">Riemann Prime Number Formula</a>
%t A057793 Rie[n_Integer] := Sum[N[LogIntegral[n^(1/k)]*MoebiusMu[k]/k, 36], {k, 
               1, 100}]; Table[Round[Rie[10^n]], {n, 1, 21}]
%Y A057793 Sequence in context: A082029 A001705 A081047 this_sequence A090226 A094422 
               A121750
%Y A057793 Adjacent sequences: A057790 A057791 A057792 this_sequence A057794 A057795 
               A057796
%K A057793 nonn
%O A057793 1,1
%A A057793 Robert G. Wilson v (rgwv(AT)rgwv.com), Nov 04 2000
%E A057793 a(1) corrected by Chris Katscher (spatch3(AT)yahoo.com), May 25, 2003