  A set of $N$ points is chosen randomly in a $D$-dimensional volume $V=a^D$,
with periodic boundary conditions. For each point $i$, its distance $d_i$ is
found to its nearest neighbour. Then, the maximal value is found,
$d_{max}=max(d_i, i=1,...,N)$. Our numerical calculations indicate, that when
the density $N/V$=const, $d_{max}$ scales with the linear system size as
$d^2_{max}\propto a^\phi$, with $\phi=0.24\pm0.04$ for $D=1,2,3,4$.
