Does $x^2 - y^2 = 12345678$ (x,y are integers) have any solutions?
74920
Prove that the equation $x^2-y^2 = 2002$ has no integer solution
25078
What is the solution set for the equation$ x ^ y = y ^ x$ in positive real numbers, x not equal to y?
155757
Number theory: $x^y + 1 = y^x$
135087
Find integer solutions of $xy=-1$ (using only elementary ring theory).
127183
Proof: For all integers $x$ and $y$, if $x^3+x = y^3+y$ then $x = y$
121658
$x^2+y^2-1$ irreducible in $\mathbb{Q}[x,y]$?
136933
Which $n$ can be expressed as $x^2 − y^2$?
39135
Representation of integers by ternary quadratic form $x^2+y^2-z^2$
47792
Integer coefficient polynomial - values as powers of 2
86285
Given positive integers $ x , y$ and that $3x^2 + x = 4y^2 +y$ Prove that $x-y$ is a perfect square
101019
$x^3-9=y^2$ find integral solutions
88333
Find all integral solutions of $y^2=x^3+7$
65000
prove that $x^2 + y^2 = z^4$ has infinitely many solutions with $(x,y,z)=1$
95490
What are the positive integer solutions to $x^2-x+1 = y^3$?
77024
Find the number of solutions of $x^2=x\mod m$ for any integer $m$
114996
$x+y+z=n$. Finding the number of solutions.
63549
Find all integer solutions to $7595x + 1023y=124$