About the Non-Integer Property of Hyperharmonic Numbers

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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".
7 pages Accepted in Annales Univ. Sci. Budapest., Sect. Math

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Number Theory, 11B83

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http://salesiana.dossiersoluciones.com/handle/123456789/172974

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0811.0043
 http://arxiv.org/abs/0811.0043

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arXiv