System of congruences with $x$ and $y$
8481
System of congruence relations
147425
Prove the von Staudt-Clausen congruence of the Bernoulli numbers
13572
$x^y+y^x>1$ for all $(x, y)\in \mathbb{R_+^2}$
76507
$\gcd(b^x - 1, b^y - 1, b^ z- 1,\dots) = b^{\gcd(x, y, z,\dots)} -1$
4357
Why does the CRT formula yield a solution of a congruence system?
108035
solving diophantine equations using congruences
35777
$\mathbb{R}[X,Y]/(Y-X^2,Y+X)\cong_\text{Ring} \mathbb{R}\times \mathbb{R}$
85449
Show a,b,c congruences when $a^2+b^2=c^2$
107990
Does there exist an integer $x$ satisfying the following congruences?
30126
Linear Diophantine Equations in Three Variables
41673
Solve congruence system $\ x\equiv m_i-1 \pmod{m_i}\,$ for $\,i = 1,\ldots, k$
59856
Find $x,y$ given $\gcd(x,y)$ and ${\rm lcm}(x,y)$
55621
Show that if $c_1, c_2, \ldots, c_{\phi(m)}$ is a reduced residue system modulo m, $m \neq 2$ then $c_1 + \cdots+ c_{\phi(m)} \equiv 0 \pmod{m}$
65687
$\gcd(a,b)\gcd(x,y)\mid ax+by$
127945
Number of solutions to the congruence $x^q \equiv 1 \mod p$.
112080
Proving the Product Rule for exponents with the same base
94965
Solve $x\equiv 1\pmod2$, $x\equiv 2\pmod3$, $x\equiv 3\pmod4$, $x\equiv 4\pmod5$, $x\equiv 5\pmod6$ and $x\equiv 0\pmod7$