Solutions $(x, y),\;x,y\in \mathbb Z$ to the equation $x! +1 = y^2$
19588
$n!+1$ being a perfect square
133164
Rational solutions for $x^2+y^2=3$
115244
Integer solutions of $m^2+(m+1)^2=n^4+(n+1)^4$
7466
How would I prove that if an integer $n>2$, then $\bar{z}=z^{n-1}$ has $n+1$ solutions
148570
Find the all possible real solutions of $x^y=y^x$
146126
Infinite positive integer solutions of the equation: $x^2+x+1=(y^2+y+1)(n^2+n+1)$
150085
Solutions to the diophantine equation: $2a^2 + 2b^2- c^2- d^2 = 0$
41689
Find all solutions: $x^2 + 2y^2 = z^2$
95490
What are the positive integer solutions to $x^2-x+1 = y^3$?
103304
Finding the number of solutions to a diophantine equation
15753
Solve the following equation in positive integers $x$ and $y$
114489
Solving $x^p + y^p = p^z$ in positive integers $x,y,z$ and a prime $p$
38849
Solve $x^y \, = \, y^x$
38379
Showing that $e^z=z$ has infinitely many solutions
76716
Solve an equation in $\mathbb{R}^+$
44744
Integer solutions of $xy+9(x+y)=2006$
90261
Find all solutions of the equation $n^m=x^2+py^2$ which satisfy the following properties