Solutions to $x^n \equiv a (2^e)$ where $e \geq 3$ and $a$ is odd
82921
Uniqueness of $k$th root mod $m$ if $(k, \phi(m)) = 1$.
94217
Solve the equation $x^n=a$ in a finite field
34059
$(a^{2^n}+1,a^{2^m}+1)=1 or 2$
18903
Finding solutions to equation of the form $1+x+x^{2} + \cdots + x^{m} = y^{n}$
74452
On a uniqueness proof for solutions of $\ a + x = b\,$ in a group
135465
Group theory proof of existence of a solution to $x^2\equiv -1\pmod p$ iff $p\equiv 1 \pmod 4$
115375
Indefinite integral of $e^{x^n}$
116616
Could $X^3 + X + 1$ have a root in $E?$
48211
When is $(a+b)^n \equiv a^n+b^n$?
144851
For a prime $p \equiv 1$ or $3$ (mod $8$), show that the equation $x^{2} + 2y^{2} = p$ has a solution.
51153
Number of solutions to $x^2\equiv a\pmod m$
117352
Show $x^n+ax+b=0$ has most two solutions
52658
What are the integer solutions to $a^{b^2} = b^a$ with $a, b \ge 2$
96185
Solutions of $x^2+y^2+z^2 = n$ in $\mathbb{Z}_2$.
127945
Number of solutions to the congruence $x^q \equiv 1 \mod p$.
97411
If $x^n=y^n$ and $n$ is odd then $x=y$
25984
Explicit solution of the recursion $x_n = x_{n-1}^2 - 2$ with $x_0>2$