An analog of Wolstenholme's Theorem: an addendum

Abstract

Let p>=2 be a prime number and let a,b,m be positive integers such that p does not divide m. In a recent paper [1] we discussed the maximal prime power p^e, which divides the numerator of the fraction

1/m+1/(m+p^b)+1/(m+2p^b)+...+1/(m+(p^a-1)p^b),

when written in reduced form. This short note may be regarded as an addendum to the paper~[1] for the case where p=2, b=1, m>1 and 2^a||m-1, which was left open.