Supersymmetric thermal leptogenesis with a hierarchical right-handed neutrino
mass spectrum requires the mass of the lightest right-handed neutrino to be
heavier than about 10^9 GeV. This is in conflict with the upper bound on the
reheating temperature which is found by imposing that the gravitinos generated
during the reheating stage after inflation do not jeopardize successful
nucleosynthesis.