Prove that $x^x+y^y=z^z$ doesn't have integer solutions
87267
Conjecture similar to Fermat's Theorem.
87029
Solve $y^2=x^3-4$ in $x,y\in \mathbb{Z}$
148243
Prove that there are no positive integers $x$ and $y$ such that $x^3 + y^3 = 10^3$.
8504
Factoring $x^n + y^n$ over the integers
50760
Solutions to $y^2 = x^3 + k$?
89677
Why there isn't any integer solutions in non-zero integers for $z^3 = 3(x^3 +y^3+2xyz)$?
32149
Proof of the inequality $(x+y)^n\leq 2^{n-1}(x^n+y^n)$
72023
Integer solutions of the equation $x^2+y^2+z^2 = 2xyz$
74920
Prove that the equation $x^2-y^2 = 2002$ has no integer solution
135858
Prove $x^5 + x^4 + x^3 + x^2 + 1 = 0$ has no rational solution
79544
Prove $x^3 + 3 =4y(y+1)$ has no integer solutions
88036
Prove that if $p \equiv 3 \pmod{4}$ then $x^2+y^2 \not \equiv 0 \pmod{p}$
145287
Solve for integers $x, y, z$ such that $x + y = 1 - z$ and $x^3 + y^3 = 1 - z^2$.
24322
Prove that the equation $18x+42y=22$ has no integer solution?
20626
Prove that $x^y < y^x$
41300
Show $(x+y)^a > x^a + y^a$ for $x,y>0$ and $a>1$
113359
Proving that $x^2 + 4$ is not divisible by $3$