New posts in Diophantine Equations

Show that $x^2+y^2+z^2=999$ has no integer solutions

Is this a valid way to prove, that $a^2 + b^2 \neq 3c^2$ for all integers $a, b, c$ ? (except the trivial case)

Find ALL integer solutions (n,m) of the equation $(n+1)(2n+1)=10m^2$

Find rational numbers $(x,y)$ such that $ (x^2 + y^2 - 2x)^2 = x^2 + y^2$

$x^2+y^2=z^n$: Find solutions without Pythagoras!

How to find the solution to this system of integer variables?

A very different property of primitive Pythagorean triplets: Can number be in more than two of them?

How does modular arithmetic work - Fermat's last theorem near misses?

Solutions of $x^3 + (x+4)^2 = y^2$

Find all positive solutions such that $n^2 + 9n +1$ is a perfect square