A link is said to be splittable if a plane can be embedded in such that the plane separates one
or more components of
from other components of and the plane is disjoint from . Otherwise, is said to be nonsplittable.
The numbers of nonsplittable links (either prime or composite) with , 1, ... crossings are 1, 0, 1, 1, 3, 4, 15, ... (OEIS A086826).