Abstract
Let $b \ge 2$ be an integer. Not much is known on the representation in base $b$ of prime numbers or of numbers whose prime factors belong to a given, finite set. Among other results, we establish that any sufficiently large integer which is not a multiple of $b$ and has only small (in a suitable sense) prime factors has at least four nonzero digits in its representation in base $b$.
Citation
Yann Bugeaud. "On the digital representation of integers with bounded prime factors." Osaka J. Math. 55 (2) 315 - 324, April 2018.