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arXiv · 0811.0043

About the Non-Integer Property of Hyperharmonic Numbers

István Mező
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Abstract

It was proven in 1915 by Leopold Theisinger that the $H_n$ harmonic numbers are never integers. In 1996 Conway and Guy have defined the concept of hyperharmonic numbers. The question naturally arises: are there any integer hyperharmonic numbers? The author gives a partial answer to this question and conjectures that the answer is "no".

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István Mező. 2008-10-31. About the Non-Integer Property of Hyperharmonic Numbers. https://arxiv.org/abs/0811.0043

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