If $p \equiv 1 \pmod{N!}$ prove there are no primitive roots $\pmod p$, $g$, that are less than $N$
9787
Primitive roots modulo primes congruent to n!
120629
Prove if $n$ has a primitive root, then it has exactly $\phi(\phi(n))$ of them
103732
Proving that for $n \equiv 0 \pmod{2}$, we get ${n \choose 0} < {n \choose 1} <\ldots< {n \choose n/2-1}<{n\choose n/2}$ etc.
38876
$r! \equiv (−1)^k \pmod p$
135465
Group theory proof of existence of a solution to $x^2\equiv -1\pmod p$ iff $p\equiv 1 \pmod 4$
91935
If $x \equiv a \pmod {p_1}$ and $x\equiv a \pmod{p_2}$, then is it true that $x\equiv a \pmod{p_1p_2} ?$
2614
Prove that , any primitive root $r$ of $p^n$ is also a primitive root of $p$
153862
A question about a primitive root mod $p=2^{2^k}+1$, where $p$ is prime.
44729
Prove $g$ is a generator if $g^q=1 \pmod p$
27494
$P_n(x):=1+ \sum_{m=1}^n\dfrac{x^m}{m!}$ has no real root for even $n$ and exactly one real root for odd $n$
34323
Prove that $a^{(p-1)/2} \equiv 1$ (mod p) and $a^{(p-1)/2} \equiv -1 \pmod p$
135385
$0 < a_0 \leq a_1 \leq \cdots \leq a_n$, show $ p_n(z) = a_0 z^n + a_1 z^{n-1} + \cdots + a_{n-1} z + a_n = 0$ has no root in $|z| < 1$
42780
Show that if $a^{n-1} \equiv 1 \pmod{n}$ for all $a$ such that $\gcd(n,a) = 1$, then $a^{n} \equiv a \pmod{n}$ for all $a$.
96361
Limit of $n$th root of $n$!
46821
Finding roots in $\mathbb{Z}_p$
158106
Prove that 1 less than the number of equivalence classes divides $p-1$ where $p$ is prime
41312
Question on primitive roots of unity