Number Theory: Prove that any primitive root $r$ of $p^n$ is also a primitive root of $p$
2614
Prove that , any primitive root $r$ of $p^n$ is also a primitive root of $p$
103552
The minimal polynomial of a primitive $p^{m}$-th root of unity over $\mathbb{Q}_p$
107694
How to test if a number is a primitive root?
69067
Principal $n$th root of a complex number
95594
Prove that a polynomial is irreducible or the field contains a $p$th root
16660
Prove that any positive number has an $n$th root
127056
How to prove that a polynomial of degree $n$ has at most $n$ roots?
90043
Show that if $r$ is an nth root of $1$ and $r\ne1$, then $1 + r + r^2 + ... + r^{n-1} = 0$.
34491
Is there a way to show that $\sqrt{p_{n}} < n$?
56464
Proving the irrationality of $e^n$
90591
On the group of all complex roots of unity whose orders are powers of $p$, prime number
103360
Prove $4p-3$ is a square knowing that $n\mid p-1$ and $p\mid n^3-1$, $p$ prime
144592
how to prove the existence and uniqueness of the prime factorization of any natural number.
30601
Number of $60$th primitive roots of $-1$
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 $k \geq 1$?
82921
Uniqueness of $k$th root mod $m$ if $(k, \phi(m)) = 1$.
104484
Prove that $r$ is a primitive root modulo $p$ if and only if $r^{(p−1)/q}\not\equiv 1\pmod{p}$