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We argue that the existence of the cold dark matter is explained by primordial black holes. We show that a significant number of primordial black holes can be formed in an axionlike curvaton model, in which the highly blue-tilted power spectrum of primordial curvature perturbations is achieved. It is found that the produced black holes with masses 10^20--10^38 g account for the present cold dark matter. We also argue the possibility of forming the primordial black holes with mass 10^5M_ as seeds of the supermassive black holes.
Kawasaki et al. (Mon,) studied this question.