  For every odd integer $c\ge 21$, we raise an example of a prime
component-preservingly amphicheiral link with the minimal crossing number $c$.
The link has two components, and consists of an unknot and a knot which is
$(-)$-amphicheiral with odd minimal crossing number. We call the latter knot a
{\it Stoimenow knot}. We also show that the Stoimenow knot is not invertible by
the Alexander polynomials.
