  We compute the mass function of bound states of Asymmetric Dark
Matter--nuggets--synthesized in the early Universe. We apply our results for
the nugget density and binding energy computed from a nuclear model to obtain
analytic estimates of the typical nugget size exiting synthesis. We numerically
solve the Boltzmann equation for synthesis including two-to-two fusion
reactions, estimating the impact of bottlenecks on the mass function exiting
synthesis. These results provide the basis for studying the late Universe
cosmology of nuggets in a future companion paper.

High Energy Physics - Phenomenology;High Energy Astrophysical Phenomena