Solve $n^2 \equiv -1 \mod 4m+3$
135465
Group theory proof of existence of a solution to $x^2\equiv -1\pmod p$ iff $p\equiv 1 \pmod 4$
87029
Solve $y^2=x^3-4$ in $x,y\in \mathbb{Z}$
35712
Solve for n: $\varphi(2n)=\varphi(3n)$
4129
Solvability of $a \equiv x^2 \mod b$
94700
Integer solutions for $x^3+2=y^2$?
112575
Finding integer solutions of $m^2-n^5 = m - n$
145617
Is there any simple trick to solve the congruence $a^{24}\equiv6a+2\pmod{13}$?
46668
How to find integer solutions to $M^2=5N^2+2N+1$?
146753
Find $x$ such that $(x^2 + 4x + 3)^x + (2x + 4)^x = (x^2 + 4x + 5)^x$
127901
If $x^2+y^2 \equiv 0\pmod{p}$, then $p \equiv 1 \pmod{4}$
144802
Prove no solution to $x^2\equiv3\bmod5$
53503
Solving the diophantine equation $y^{2}=x^{3}-2$
118197
Solve $n(n+1)(n+2)=6m^3$ in positive integers
148671
Trying to factor $x^4-3$ over $\Bbb{F}_p$ with $p\equiv 3\mod{4}$
82016
Given $p^2+q^2+r^2+1=s+\sqrt{p+q+r-s}$, solve for $s$
94965
Solve $x\equiv 1\pmod2$, $x\equiv 2\pmod3$, $x\equiv 3\pmod4$, $x\equiv 4\pmod5$, $x\equiv 5\pmod6$ and $x\equiv 0\pmod7$
41890
How to get all solutions of $x^2 \equiv$ $a$ mod $p$?