  We discuss the seesaw mechanism which includes the minimum number of
parameters for successful leptogenesis and three neutrino oscillations in the
spirit of Occam's razor. We show that models with two right-handed neutrinos
with two texture zeros supported by Occam's razor cannot fit the observed
neutrino parameters consistently for the normal light neutrino mass hierarchy.
For the inverted light neutrino mass hierarchy, on the other hand, we find that
the models can fit the observed neutrino parameters consistently. Besides, we
show that the model predicts the maximal Dirac CP-phase of the neutrino mixing
matrix in the measurable range in the foreseeable future for the inverted
neutrino mass hierarchy. We also show that the predicted effective Majorana
neutrino mass responsible for the neutrinoless double beta decay is around 50
meV which is also within reach of future experiments.
