Existence of Solutions to a $2-$Equation System of Congruences
59442
Are there $a,b>1$ with $a^4\equiv 1 \pmod{b^2}$ and $b^4\equiv1 \pmod{a^2}$?
29204
$a\equiv\bar a\!\pmod{\!kn}\Rightarrow a\equiv\bar a\!\pmod{\! n};\ $ $(a\bmod kn)\bmod n=a\bmod n.\ $ Congruences persist mod factors of the modulus
152591
For which prime numbers $p$ does the congruence $x^2 + x + 1 \equiv 0 \pmod{p}$ have solutions?
155012
Solving quadratic equations in modular arithmetic
62161
Solutions of the Pell-type equation $x^2-2y^2=-1$
93820
Fermat's little theorem applied for $n$'th root existence $\!\bmod p$
158933
Rational solutions of $y^2 = x^3 - x$
36713
Solving multiple congruences by CRT = Chinese Remainder Theorem
52530
There exists a prime congruent to $m$ mod $p$
94917
Prove that for every prime $p$, there exists a solution to $(x^2-2)(x^2-6)(x^2-3) \equiv 0 \mod(p)$
59091
A quartic diophantine equation
146491
Number of solutions of $x_1+x_2+\dots+x_k=n$ with $x_i\le r$
8481
System of congruence relations
18903
Finding solutions to equation of the form $1+x+x^{2} + \cdots + x^{m} = y^{n}$
16946
How many solutions for an equation with simple restrictions
4129
Solvability of $a \equiv x^2 \mod b$
42713
Solutions to the equation $ze^{a-z}=1$