How do I show that $2$ is not a primitive root modulo $7$?
104484
Prove that $r$ is a primitive root modulo $p$ if and only if $r^{(p−1)/q}\not\equiv 1\pmod{p}$
90273
Primitive roots of the unity in $\mathbb C$
75489
Solve $x^2$ $mod$ $23 = 7^2$
102234
Show $a^p \equiv a \mod 2p$
128566
Proving $2$ generates $(\mathbb{Z}/19\mathbb{Z})^*$ by only looking at a few powers
86515
Characterization of integers which has a $2$-adic square root
150576
When is an Integer a Rational Number, and are All Ratios Rational, Even $\frac{\sqrt{7}}{2}$?
33735
The square of an integer is congruent to 0 or 1 mod 4
100450
Prove that 3 is a primitive root of $7^k$ for all $k \ge 1$
77240
Show that $4 + \sqrt{10}$ is not prime in $\mathbb{Z}\bigl [\sqrt{10}\bigr]$
6160
How to prove a number $a$ is quadratic residue modulo $n$?
119582
How to select the right modulus to prove that there do not exist integers $a$ and $b$ such that $a^2+b^2=1234567$?
106716
The sum of square roots of non-perfect squares is never integer
134916
When g and -g are both primitive roots
153444
$\mathbb{Q}(\sqrt[3]{2})$ is not in any cyclotomic extension of $\mathbb{Q}$
119433
How to find modulo of large numbers like $9801\! \pmod {\!32}$
75528
$x^2-x+1$ has a root $\!\bmod p\,$ for infinitely many primes $p$