  A simple power-law growth of charged-particle multiplicities near midrapidity
in central Au+Au collisions at $\sqrt{s_{NN}}=56$ and 130 GeV, recently
measured at RHIC, is derived. We give predictions for the central particle
densities up to $\sqrt{s_{NN}}=1800$ GeV. A strong growth of the Au+Au
densities above those for $\ol{p}(p)-p$ collisions is predicted.
