Integer solutions for $x^y=y^x$
5595
$x^y = y^x$ for integers $x$ and $y$
69874
Are there any integer solutions to $a^3=b^2$?
77763
Proof that the equation $x^2 - 3y^2 = 1$ has infinite solutions for $x$ and $y$ being integers
95490
What are the positive integer solutions to $x^2-x+1 = y^3$?
3621
How can I show that $y'=\sqrt{|y|}$ has infinitely many solutions?
112390
Solutions of $x^2 \equiv 1 \pmod N$
19071
solution set for congruence $x^2 \equiv 1 \mod m$
33332
A classic exponential inequality: $x^y+y^x>1$
158933
Rational solutions of $y^2 = x^3 - x$
35504
The Diophantine equation $x^2 + 2 = y^3$
73160
Solving the Diophantine Equation $x^2 - y! = 2001$ and $x^2 - y! = 2016$
52658
What are the integer solutions to $a^{b^2} = b^a$ with $a, b \ge 2$
94585
Solving for a variable that's an exponent
133164
Rational solutions for $x^2+y^2=3$
115244
Integer solutions of $m^2+(m+1)^2=n^4+(n+1)^4$
127183
Proof: For all integers $x$ and $y$, if $x^3+x = y^3+y$ then $x = y$
123159
Solutions of the diophantine equation $x+y+z=xyz$?