  We show that if $E$ is a $p$-local Landweber exact homology theory of height
$n$ and $p > n^2+n+1$, then there exists an equivalence $h \mathcal{S}p_{E}
\simeq h\mathcal{D}(E_{*}E)$ between homotopy categories of $E$-local spectra
and differential $E_{*}E$-comodules, generalizing Bousfield's and Franke's
results to heights $n > 1$.
