Hyperharmonic integers exist
We show that there exist infinitely many hyperharmonic integers, and this refutes a conjecture of Mező. In particular, for $r=64\cdot (2^\alpha - 1) +32$, the hyperharmonic number $h_{33}^{(r)}$ is integer for 153 different values of $\alpha \pmod {748\: 440}$, where the smallest $r$ is equal to $64...
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| Format: | Article |
| Language: | English |
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Académie des sciences
2021-01-01
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| Series: | Comptes Rendus. Mathématique |
| Online Access: | https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.137/ |