Proof that $x^2-y^3=1$ has only one solution in the domain of $N^+$?
50760
Solutions to $y^2 = x^3 + k$?
109288
Prove that $x^3+y^3+z^3-3xyz=1$ defines a surface of revolution
20299
Is $k=3$ the only solution to $\sum_{r=1}^n r^k =\left( \sum_{r=1}^nr^1 \right)^2 $?
76640
Show that the polynomial $x^3-xy^2+y+1$ is irreducible in $\mathbb{Q}[x,y]$
104498
Show that $x^3y^3(x^3+y^3) \leq 2$
130565
Find all solutions to $x^3+(x+1)^3+ \dots + (x+15)^3=y^3$
13572
$x^y+y^x>1$ for all $(x, y)\in \mathbb{R_+^2}$
89677
Why there isn't any integer solutions in non-zero integers for $z^3 = 3(x^3 +y^3+2xyz)$?
87735
Prove that the roots $\in \Bbb R$ of $x^3+x+1=0$ aren't rational without RRT
46028
Show that the solution for the Diophantine equation $x^2 - y^2 = N$ is unique if and only if $|N|$ or $\frac{|N|}{4}$, respectively, is $1$ or prime.
63194
Find all integer solutions to $x^2-2y^2=1$
81671
Proof of identity $\sqrt {xy} = \sqrt x \sqrt y$ for $x,y \in \mathbb R^+$
98921
Does $y(y+1) \leq (x+1)^2$ imply $y(y-1) \leq x^2$?
71361
Prove that $x^x+y^y=z^z$ doesn't have integer solutions
94700
Integer solutions for $x^3+2=y^2$?
155757
Number theory: $x^y + 1 = y^x$
88466
Show that polynomial $X^{n+1}-aX^n+aX-1$ has only roots of module $1$