  We calculate the Equation of State at high temperatures in 2+1 flavor QCD
using the highly improved staggered quark action. We study the lattice spacing
dependence of the pressure at high temperatures using lattices with temporal
extent $N_{\tau}=6,~8,~10$ and $12$ and perform continuum extrapolations. We
also give a continuum estimate for the Equation of State up to temperatures
$T=2$ GeV, which are then compared with results of the weak-coupling
calculations. We find a reasonably good agreement with the weak-coupling
calculations at the highest temperatures.
