Prove that a primitive root of $p^2$ is also a primitive root of $p^n$ for $n>1$.
39719
If $g$ is a primitive root of $p^2$ where $p$ is an odd prime, why is $g$ a primitive root of $p^k$ for any $k \geq 1$?
100450
Prove that 3 is a primitive root of $7^k$ for all $k \ge 1$
158863
How to prove $\sum_p p^{-2} < \frac{1}{2}$?
90273
Primitive roots of the unity in $\mathbb C$
20881
Prove that if $p$ and $q$ are distinct primes such that $pq\mid n^2$ then $pq\mid n$.
40107
primitive n-th roots of unity
21457
Prove $\sqrt{2\sqrt{3\sqrt{\cdots\sqrt{n}}}}<3$ by induction.
103323
Finding a primitive root of a prime number
45811
How to prove that r is a double root if and only if it is a root of a polynomial and of its derivative.
117484
Why is $c+q$ still a primitive root modulo $q$?
35478
Polynomial $p(a) = 1$, why does it have at most 2 integer roots?
72410
If $\alpha_1,\alpha_2,\ldots,\alpha_n$ be the roots of the equation $x^n+1$
104484
Prove that $r$ is a primitive root modulo $p$ if and only if $r^{(p−1)/q}\not\equiv 1\pmod{p}$
91101
Proving $\sqrt2$ is irrational
50668
Show that $\mathbb{Q}(\sqrt2, \sqrt[3]2)$ is a primitive field extension of $\mathbb{Q}$.
115241
If $p$ and $q = 2p + 1$ are both odd primes, show that $-4$ and $2(-1)^{(1/2)(p-1)}$ are both primitive roots modulo $q$.
41312
Question on primitive roots of unity