  The calculation results of the evolution of the cluster of primordial black
holes based on the Fokker-Planck equation with neglecting of the gas accretion
onto black holes are presented. In addition, we consider how a massive black
hole located within the cluster center affects on its evolution. Despite it
creates an additional potential in the central region of the cluster and might
capture surrounding black holes, a negligible growth rate of a central black
hole was shown for 1 Gyr. Furthermore, we find a significant (approximately
tenfold) expansion of the cluster.
