摘要
Let p be a prime and b a primitive root of p(2). In this paper, we give an explicit formula for the number of times a value in {0, 1, ... , b - 1} occurs in the periodic part of the base-b expansion of 1/p(m). As a consequence of this result, we prove two recent conjectures of Aragon Artacho et al. [%26apos;Walking on real numbers%26apos;, Math. Intelligencer 35(1) (2013), 42-60] concerning the base-b expansion of Stoneham numbers.