  For an integer $n\geq 2$, let NCSL$(n)$ denote the set of sizes of congruence
lattices of $n$-element semilattices. We find the four largest numbers
belonging to NCSL$(n)$, provided that $n$ is large enough to ensure that
$|$NCSL$(n)|\geq 4$. Furthermore, we describe the $n$-element semilattices
witnessing these numbers.
