  We determine the nucleation rates of hard spheres using brute-force molecular
dynamics simulations. We overcome nucleation barriers of up to $28 k_B T$,
leading to a rigorous test of nucleation rates obtained from rare-event methods
and classical nucleation theory. Our brute-force nucleation rates show
excellent agreement with umbrella sampling simulations by Filion et al. [J.
Chem. Phys. 133, 244115 (2010)] and seeding simulations by Espinosa et al. [J.
Chem. Phys. 144, 034501 (2016)].
