Let $M$ be a positive real number. Determine the least positive real number $k$ with the following property: for each integer $n>M$, the interval $(n,kn]$ contains a power of $2$. Authored by Nikola Velov
Source: Macedonian Mathematical Olympiad 2024 P1
Tags: number theory
Let $M$ be a positive real number. Determine the least positive real number $k$ with the following property: for each integer $n>M$, the interval $(n,kn]$ contains a power of $2$. Authored by Nikola Velov