Question 72
Let $m$ and $n$ be natural numbers with $m \gt n$. Define
$$
x_{k} = \frac{m+k}{n+k} \text{ for } k=1, \ldots, n+1
$$
Show: if all $x_{i}$ are integers, then $x_{1} \cdot x_{2} \cdot \ldots \cdot x_{n+1} - 1$ is not a power of two.
$$
x_{k} = \frac{m+k}{n+k} \text{ for } k=1, \ldots, n+1
$$
Show: if all $x_{i}$ are integers, then $x_{1} \cdot x_{2} \cdot \ldots \cdot x_{n+1} - 1$ is not a power of two.