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Least k such that H(k) >= 10^n, where H(k) is the harmonic number Sum_{i=0..k} 1/i.
2

%I #12 Oct 03 2017 03:59:10

%S 1,12367,15092688622113788323693563264538101449859497

%N Least k such that H(k) >= 10^n, where H(k) is the harmonic number Sum_{i=0..k} 1/i.

%C The next term is approx 1.10*10^434, which too large to include.

%C Except for the first term, identical to A082912.

%H R. P. Boas, Jr. and J. W. Wrench, Jr., <a href="http://www.jstor.org/stable/2316476">Partial sums of the harmonic series</a>, Amer. Math. Monthly, 78 (1971), 864-870.

%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/High-WaterMark.html">High-Water Mark</a>

%Y Cf. A004080, A082912.

%K nonn,bref

%O 1,2

%A _Eric W. Weisstein_, Jul 01 2004