  The jump of the Milnor number of an isolated singularity $f_{0}$ is the
minimal non-zero difference between the Milnor numbers of $f_{0}$ and one of
its deformation $(f_{s}).$ In the case $f_{s}$ are non-degenerate singularities
we call the jump non-degenerate. We give a formula (an inductive algorithm
using diophantine equations) for the non-degenerate jump of $f_{0}$ in the case
$f_{0}$ is a convenient singularity with only one $(n-1)$-dimensional face of
its Newton diagram which equivalently (in our problem) can be replaced by the
Brieskorn-Pham singularities.
