Let ${\delta }_1(n,m)$ be the density of the set of integers with exactly one divisor in $(n,m)$. Is ${\delta }_1(n,m)$ unimodular for $m>n+1$ (i.e. increases until some $m$ then decreases thereafter)? For fixed $n$, where does ${\delta }_1(n,m)$ achieve its maximum?