Solve $x^2-y!=2001$ over the positive integers.
73160
Solving the Diophantine Equation $x^2 - y! = 2001$ and $x^2 - y! = 2016$
71361
Prove that $x^x+y^y=z^z$ doesn't have integer solutions
40063
$x^2+y^2=z^n$: Find solutions without Pythagoras!
155363
Find all integers $(x, y)$ such that $1 + 2^x + 2^{2x + 1} = y^2$
5595
$x^y = y^x$ for integers $x$ and $y$
124223
Find all pairs (x, y) of real numbers such that $16^{x^2+y} + 16^{x+y^2}=1$
71358
A very interesting question: intersection point of $x^y=y^x$
41364
How to prove that $x^y - y^x = x + y$ has only one solution in positive integers?
94700
Integer solutions for $x^3+2=y^2$?
145287
Solve for integers $x, y, z$ such that $x + y = 1 - z$ and $x^3 + y^3 = 1 - z^2$.
55100
The positive integer solutions for $2^a+3^b=5^c$
146126
Infinite positive integer solutions of the equation: $x^2+x+1=(y^2+y+1)(n^2+n+1)$
114489
Solving $x^p + y^p = p^z$ in positive integers $x,y,z$ and a prime $p$
24307
Is $x^x=y$ solvable for $x$?
86285
Given positive integers $ x , y$ and that $3x^2 + x = 4y^2 +y$ Prove that $x-y$ is a perfect square
20834
Integer solutions to $c=a^2-b^2$
48502
number of ordered pairs of integers $(x,y)$ satisfying the equation