  Let $p\geq 2$ be a large prime, and let $N\gg ( \log p)^{1+\varepsilon}$.
This note proves the existence of primitive roots in the short interval
$[M,M+N]$, where $M \geq 2$ is a fixed number, and $ \varepsilon>0$ is a small
number. In particular, the least primitive root $g(p)= O\left ((\log
p)^{1+\varepsilon} \right)$, and the least prime primitive root $g^*(p)= O\left
((\log p)^{1+\varepsilon} \right)$ unconditionally.
