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Pade approximants (PA's) are constructed from the perturbative coefficientsof the free energy through O(g^5) in hot QCD. Pade summation is shown to reducethe renormalization-scale dependence substantially even at temperature (T) aslow as 250 MeV.  Also, PA's predict that the free energy does not deviate more than 10 % fromthe Stefan-Boltzmann limit for T > 250 MeV.Comment: Typos corrected. Minor changes in the text and references. To appear  in Phys. Rev.

Padé improvement of the free energy in high temperature QCD