Friday, December 3, 2010

Harmonic sum

Harmonic sum

1/m + ... + 1/n is never an integer, for 1 < m < n

Further reading:

a(n) = (1/1 + 1/2 + ... + 1/n)*LCM{1,2,...,n}

Wolstenholme numbers: numerator of harmonic number H(n)=Sum_{i=1..n} 1/i.

Least k such that H(k) > n, where H(k) is the harmonic number sum_{i=1..k} 1/i.

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