Extended calculations of a special Harmonic number

Abstract

The search for values of $p$ for which the Harmonic numbers $H_{\lfloor p/6\rfloor }$ vanish mod $p$, carried to $p<600,000$ by Schwindt in 1983, is extended here to $p<149,250,000,000,000$, and two new solutions are reported. (These results can now be found in the Online Encyclopedia of Integer Sequences, entry no.\ A238201.)