Assuming the seesaw mechanism for hierarchical neutrino masses, we calculat
e the heavy neutrino masses under the hypotheses that the mixing in the Dir
ac leptonic sector is similar to the quark mixing (V-D similar to V-CKM) an
d that M(nu)similar to M-u or M-e, where M-v is the Dirac mass matrix of ne
utrinos. As a result we find that for M-nu-M-u the vacuum oscillation solut
ion of the solar neutrino problem leads to a scale for the heavy neutrino m
ass well above the unification scale, while for the MSW solutions there is
agreement with this scale. For M(nu)similar to M-e the vacuum solution is c
onsistent with the unification scale and the MSW solutions with an intermed
iate scale. The mass of the lightest heavy neutrino can be as small as 10(5
) GeV.