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We provide predictions for charmonium and open charm production in nuclearcollisions at SPS/FAIR energies within the framework of the statisticalhadronization model. The increasing importance at lower energies of Lambda_cproduction is demonstrated and provides a challenge for future experiments. Wealso demonstrate that, because of the large charm quark mass and the differenttimescales for charm quark and charmed hadron production, possiblemodifications of charmed hadrons in the hot hadronic medium do not lead tomeasurable changes in cross sections for D-meson production. A possibleinfluence of medium effects can be seen, however, in yields of charmonium.These effects are visible at all energies and results are presented for theenergy range between charm threshold and RHIC energy.

Charmonium and open charm production in nuclear collisions at SPS/FAIR energies and the possible influence of a hot hadronic medium