We show that there exist infinitely many hyperharmonic integers, and this refutes a conjecture of Mező. In particular, for , the hyperharmonic number is integer for 153 different values of , where the smallest is equal to .
Revised:
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Doğa Can Sertbaş 1
@article{CRMATH_2020__358_11-12_1179_0, author = {Do\u{g}a Can Sertba\c{s}}, title = {Hyperharmonic integers exist}, journal = {Comptes Rendus. Math\'ematique}, pages = {1179--1185}, publisher = {Acad\'emie des sciences, Paris}, volume = {358}, number = {11-12}, year = {2020}, doi = {10.5802/crmath.137}, language = {en}, }
Doğa Can Sertbaş. Hyperharmonic integers exist. Comptes Rendus. Mathématique, Volume 358 (2020) no. 11-12, pp. 1179-1185. doi : 10.5802/crmath.137. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.137/
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