We provide an explicit estimate on the least primitive root mod $p^{2}$. We show, in particular, that every prime $p$ has a primitive root mod $p^{2}$ that is less than $p^{0.99}$.

中文翻译：

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最小原始根模 p2

我们提供了对最小原始根 mod $p^{2}$ 的明确估计。我们特别证明了每个质数 $p$ 都有一个小于 $p^{0.99}$ 的原始根 mod $p^{2}$。