  We reconsider thermal production of gravitinos in the early universe, adding
to previously considered 2 -> 2 gauge scatterings: a) production via 1 -> 2
decays, allowed by thermal masses; b) the effect of the top Yukawa coupling; c)
a proper treatment of the reheating process. Our final result behaves
physically (larger couplings give a larger rate) and is twice larger than
previous results, implying e.g. a twice stronger constraint on the reheating
temperature. Accessory results about (supersymmetric) theories at finite
temperature and gravitino couplings might have some interest.
