We determine, up to multiplicative constants, the number of integers that have a divisor in and no prime factor. Our estimate is uniform in. We apply this to determine the order of the number of distinct integers in the multiplication table, which are free of prime factors, and the number of distinct fractions of the form with and.
|Original language||English (US)|
|Number of pages||20|
|Journal||Journal of the Australian Mathematical Society|
|State||Published - Aug 2021|
- 2010 Mathematics subject classification
- Farey fractions.
ASJC Scopus subject areas