COMPTES RENDUS MATHEMATIQUE, cilt.358, sa.11-12, ss.1179-1185, 2020 (SCI-Expanded)
We show that there exist infinitely many hyperharmonic integers, and this refutes a conjecture of Mezo. In particular, for r = 64.(2(alpha)-1)+32, the hyperharmonic number h(33)((r)) is integer for 153 different values of alpha (mod 748440), where the smallest r is equal to 64.(2(2659)-1)+32.