On the denominators of harmonic numbers, II.

Abstract Text Let v n be the denominator of the n -th harmonic number H n = 1 + 2 − 1 + ⋯ + n − 1. In this paper, we prove the following unusual result: the set of positive integers n with v n = v n + 1 has density one. We also prove that the same result is true for the denominators of alternating harmonic numbers. Video For a video summary of this paper, please visit https://youtu.be/Sk0zMSKPe3M. [ABSTRACT FROM AUTHOR]