  In this paper, we revisit the evaporation and accretion of primordial black
holes (PBHs) during cosmic history and compare them to see if both of these
processes are constantly active for PBHs or not. Our calculations indicate that
during the radiation-dominated era, PBHs absorb ambient radiation due to
accretion, and their apparent horizon grows rapidly. This growth causes the
Hawking radiation process to practically fail and all the particles that escape
as radiation from PBHs to fall back into them. Nevertheless, our emphasis is
that the accretion efficiency factor also plays a very important role here and
its exact determination is essential. We have shown that the lower mass limit
for PBHs that have not yet evaporated should approximately be $10^{14}g$ rather
than $10^{15}g$. Finally, we study the effects of Hawking radiation quiescence
in cosmology and reject models based on the evaporation of PBHs in the
radiation-dominated era.
