How to solve $x^{17}\equiv 37$ in $\mathbb{Z}/101\mathbb{Z}$?
34192
Solve $x^{5} \equiv 2$ mod $221\ $ [Taking modular $k$'th roots if unique]
31708
Divisibility criteria for $7,11,13,17,19$
151764
modular arithmetic, solving $ax + b \equiv c \pmod d$?
5358
How to prove that 2017 divides $1^{2017}+2^{2017}+\dots+2017^{2017}$?
78416
Show that $7$ divides $a^{15}-a^3$ for any integer $a$
75489
Solve $x^2$ $mod$ $23 = 7^2$
148671
Trying to factor $x^4-3$ over $\Bbb{F}_p$ with $p\equiv 3\mod{4}$
3563
Find all roots of $\,x^2\!\equiv x\pmod{\!900}$, i.e all idempotents in $\Bbb Z_{900}$
21679
Solving $x^3-y^3=xy+61$ in integers
143754
Finding the solution of the congruence $4x\equiv16\pmod{26}$
66256
Find all solutions of the equality $y^2=x^3+23$ for integers $x,y$
90300
Find the remainder when $10^{400}$ is divided by 199?
30261
How can I find all integers $x≠3$ such that $x−3|x^3−3$
34424
Determining ring of integers for $\mathbb{Q}[\sqrt{17}]$
46400
how do i prove that $17^n-12^n-24^n+19^n \equiv 0 \pmod{35}$
38285
What is $(65!)^2$ congruent to mod $131$?
52055
how to prove $437\,$ divides $18!+1$? (NBHM 2012)