  A subset of $\{1,2,\ldots,2n\}$ is said to be primitive if it does not
contain any pair of elements $(u,v)$ such that $u$ is a divisor of $v$. Let
$D(n)$ denote the number of primitive subsets of $\{1,2,\ldots,2n\}$ with $n$
elements. Numerical evidence suggests that $D(n)$ is roughly $(1.32)^n$. We
show that for sufficiently large $n$, $$(1.303...)^n < D(n) < (1.408...)^n$$
