$y^2-7=x^3$ has no solutions in positive integers
88333
Find all integral solutions of $y^2=x^3+7$
148570
Find the all possible real solutions of $x^y=y^x$
79544
Prove $x^3 + 3 =4y(y+1)$ has no integer solutions
95490
What are the positive integer solutions to $x^2-x+1 = y^3$?
135087
Find integer solutions of $xy=-1$ (using only elementary ring theory).
44744
Integer solutions of $xy+9(x+y)=2006$
25078
What is the solution set for the equation$ x ^ y = y ^ x$ in positive real numbers, x not equal to y?
71756
diophantine equation: $x^2 +y^2 = z^n$
87029
Solve $y^2=x^3-4$ in $x,y\in \mathbb{Z}$
32985
Prove that there does not exist integer solutions for the diophantine equation $x^5 - y^2 = 4$.
24822
How to solve the equation $(z+1)^7 = z^7$ for all $z$?
111938
How do I find a flaw in this false proof that $7n = 0$ for all natural numbers?
52960
Show that the curve $x^2+y^2-3=0$ has no rational points
75489
Solve $x^2$ $mod$ $23 = 7^2$
50182
Prove the Mordell's equation $x^2+41=y^3$ has no integer solutions
74229
$2x^2+3y^2=z^2$ does not have a non-zero integral solution.
113268
Proving $x^4+y^4=z^2$ has no integer solutions