  Complete localization is shown to hold for the $d$-dimensional Anderson model
with uniformly distributed random potentials provided the disorder strength
$\lambda >\lambda_{And}$ where $\lambda_{\text{And}}$ satisfies
$\lambda_{\text{And}}=\mu_d e \ln \lambda_{\text{And}}$ with $\mu_d$ the
self-avoiding walk connective constant for the lattice $\mathbb{Z}^d$. Notably
$\lambda_{\text{And}}$ is precisely the large disorder threshold proposed by
Anderson in 1958.
