  We apply high-order many-body perturbation theory for the calculation of
ground-state energies of closed-shell nuclei using realistic nuclear
interactions. Using a simple recursive formulation, we compute the perturbative
energy contributions up to 30th order and compare to exact no-core shell model
calculations for the same model space and Hamiltonian. Generally, finite
partial sums of this perturbation series do not show convergence with
increasing order, but tend to diverge exponentially. Nevertheless, through a
simple resummation via Pade approximants it is possible to extract rapidly
converging and highly accurate results for the ground state energy.
