Show 3 is a primitive root modulo $7^n$ for $n\in \Bbb{N}$.
100450
Prove that 3 is a primitive root of $7^k$ for all $k \ge 1$
111295
Prove that $a^7 + b^7 + c^7 \geq a^4b^3 + b^4c^3 + c^4a^3$
117969
Suppose $n$ divides $3^n + 4^n$. Show that $7$ divides $n$.
20908
How to compute $k$'th roots $\!\bmod n$?
108550
Elements of $\mathbb Q(2^{1/3})$
15202
the root of $N$th transpose matrix
21457
Prove $\sqrt{2\sqrt{3\sqrt{\cdots\sqrt{n}}}}<3$ by induction.
99428
Prove that $3^{2n-1} + 2^{n+1}$ is always a multiple of $7$.
30601
Number of $60$th primitive roots of $-1$
150300
Root of unity for $n+1$
156272
Unique pair of positive integers $(p,n)$ satisfying $p^3-p=n^7-n^3$ where $p$ is prime
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 $q$.
78416
Show that $7$ divides $a^{15}-a^3$ for any integer $a$
95061
Proving that $2^{2\cdot 3^{n-1}}\equiv 1+3^n\pmod{3^{n+1}}$ for every natural $n$
104484
Prove that $r$ is a primitive root modulo $p$ if and only if $r^{(p−1)/q}\not\equiv 1\pmod{p}$
111291
Galois group of $\mathbb Q(\sqrt{4+\sqrt 7})/\mathbb Q$
9787
Primitive roots modulo primes congruent to n!