What is the general method for solving congruences of the form $x^2\equiv a \bmod p$, where p is prime?
131941
Solve quadratic congruences.
85449
Show a,b,c congruences when $a^2+b^2=c^2$
102234
Show $a^p \equiv a \mod 2p$
14809
Existence & uniqueness of solutions of linear congruences $\ cx\equiv b\pmod m$
36713
Solving multiple congruences by CRT = Chinese Remainder Theorem
35643
How to use the method of "Hensel lifting" to solve $x^2 + x -1 \equiv 0\pmod {11^4}$?
56803
Finding solutions to congruence equations
22200
When a congruence system can be solved?
52658
What are the integer solutions to $a^{b^2} = b^a$ with $a, b \ge 2$
22029
Solving modular arithmetic questions
94965
Solve $x\equiv 1\pmod2$, $x\equiv 2\pmod3$, $x\equiv 3\pmod4$, $x\equiv 4\pmod5$, $x\equiv 5\pmod6$ and $x\equiv 0\pmod7$
34323
Prove that $a^{(p-1)/2} \equiv 1$ (mod p) and $a^{(p-1)/2} \equiv -1 \pmod p$
131395
Solving linear congruence $2x + 11 \equiv 7 \pmod 3$
26478
Show that the congruence $x^{p-1} \equiv 1 \pmod {p^2}$ has precisely $p-1$ solutions modulo $p^2$
2904
Solving linear congruence (modular inverse or fraction) via gcd Bezout equation
4129
Solvability of $a \equiv x^2 \mod b$
153862
A question about a primitive root mod $p=2^{2^k}+1$, where $p$ is prime.