Establish that 7 is a primitive root of any prime of the form $p = 2^{4n} + 1$.
17919
For every prime of the form $2^{4n}+1$, 7 is a primitive root.
111291
Galois group of $\mathbb Q(\sqrt{4+\sqrt 7})/\mathbb Q$
43939
Show that $3^{2n+1}-4^{n+1}+6^n$ is never prime for natural n except 1.
127833
Proving that $7^n(3n+1)-1$ is divisible by 9
97071
Is the cube root of a prime number rational?
35478
Polynomial $p(a) = 1$, why does it have at most 2 integer roots?
5978
Prove that there exists only one prime number of the form $p^2−1$ where $p≥2$ is an integer
140949
Proving that for each prime number $p$, the number $\sqrt{p}$ is irrational
99428
Prove that $3^{2n-1} + 2^{n+1}$ is always a multiple of $7$.
41641
$(n-7)(n+7)=$ some perfect square
38498
Find all primes $p$ such that $(2^{p-1}-1)/p$ is a perfect square
44019
Show that for any prime $ p $, there are integers $ x $ and $ y $ such that $ p|(x^{2} + y^{2} + 1) $.
2614
Prove that , any primitive root $r$ of $p^n$ is also a primitive root of $p$
144851
For a prime $p \equiv 1$ or $3$ (mod $8$), show that the equation $x^{2} + 2y^{2} = p$ has a solution.
75528
$x^2-x+1$ has a root $\!\bmod p\,$ for infinitely many primes $p$
30601
Number of $60$th primitive roots of $-1$
40107
primitive n-th roots of unity