About the Non-Integer Property of Hyperharmonic Numbers
classification
🧮 math.NT
keywords
numbershyperharmonicanswerquestionarisesauthorconceptconjectures
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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".
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