Prove there are infinitely many *primitive* solutions to $x^2 + y^2 = z^4$
65000
prove that $x^2 + y^2 = z^4$ has infinitely many solutions with $(x,y,z)=1$
63505
Proving that $ 2 $ is the only real solution of $ 3^x+4^x=5^x $
28594
Number of integer solutions of the following equation
20034
Does $a^2+b^2=1$ have infinitely many solutions for $a,b\in\mathbb{Q}$?
144863
Finding integer solutions to $y^2=x^3-2$
62036
Finding the number of non-negative integral solutions of $x + y + z = 10$
141184
Proof that a degree 4 polynomial has at least two roots
71756
diophantine equation: $x^2 +y^2 = z^n$
82571
Number of solutions of $x^2=1$ in $\mathbb{Z}/n\mathbb{Z}$
63194
Find all integer solutions to $x^2-2y^2=1$
28274
Prove that $x^2 + y^2 = 3(z^2 + m^2)$ has no solutions in integer
52658
What are the integer solutions to $a^{b^2} = b^a$ with $a, b \ge 2$
26461
Integer solutions of $x^3-x+9=5y^2$
3621
How can I show that $y'=\sqrt{|y|}$ has infinitely many solutions?
20834
Integer solutions to $c=a^2-b^2$
137015
Solutions for $a^2+b^2+c^2=d^2$
68275
Primitive Root Theorem Proof