Osaka Journal of Mathematics
- Osaka J. Math.
- Volume 55, Number 2 (2018), 315-324.
On the digital representation of integers with bounded prime factors
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 $b$.
Osaka J. Math., Volume 55, Number 2 (2018), 315-324.
First available in Project Euclid: 18 April 2018
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Bugeaud, Yann. On the digital representation of integers with bounded prime factors. Osaka J. Math. 55 (2018), no. 2, 315--324. https://projecteuclid.org/euclid.ojm/1524038730