  The Hopkins-Mahowald theorem realizes the Eilenberg-Maclane spectra $H\mathbb
F_p$ as Thom spectra for all primes $p\in\mathbb N_{>0}$. In this article, we
record a known proof of a generalization of Hopkins-Mahowald theorem, realizing
$Hk$ as Thom spectra for perfect rings $k$, and we provide a further
generalization by realizing $HR$ as Thom spectra for perfectoid rings $R$. We
also discuss even further generalizations to prisms $(A,I)$ and indicates how
to adapt our proofs to Breuil-Kisin case.
