Abstract
A positive integern is said to beharmonic if the harmonic meanH(n) of its positive divisors is an integer. Ore proved that every perfect number is harmonic and conjectured that there exist no odd harmonic numbers greater than 1. In this article, we give the list of all harmonic numbers up to 1014. In particular, we find that there exist no nontrivial odd harmonic numbers less than 1014.
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Schedule a callMore From: Japan Journal of Industrial and Applied Mathematics
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