N{sub f}{sup 3}g{sup 6} term in the pressure of hot QCD

We determine the first independent part of the g{sup 6} coefficient in the weak coupling expansion of the QCD pressure at high temperatures, the one proportional to the maximal power of the number of quark flavors N{sub f}. In addition to introducing and developing computational methods that can be used in evaluating other parts of the expansion, our calculation provides a result that becomes dominant in the limit of large N{sub f} and a fixed effective coupling g{sub eff}{sup 2}{identical_to}g{sup 2}N{sub f}/2.