  Dark matter (DM) interacting only gravitationally with the standard model
could have been produced in the early universe by Hawking evaporation of
primordial black holes (PBH). This mechanism is viable in a large range of DM
mass, spanning up to the Planck scale. However, DM is also unavoidably produced
by the irreducible UV gravitational freeze-in. We show that the latter
mechanism sets strong bounds, excluding large regions of the parameter space
favored by PBH production.
