New posts in Diophantine Equations

No integers satisfying $x^2+2y^2 = p$

For how many positive integers $m$ the number $m^3+5m^2+3$ is a perfect cube?

Solution of this Diophantine Equation

$x^5 + x^4 +1$ to be a perfect square

Find all positive integers $a, b, c$ such that $21^a+ 28^b= 35^c$ .

How can I find out if two parabolas will share an integer in their sequence?

Uniqueness of pair $\left(a,b\right)$ in writing positive integer $V$ as $V=a^2+ab+b^2$ with $a, b \in \mathbb{N}$

Let k be an integer. Disprove: “The equation $x^2 − x − k = 0$ has no integer solution if and only if $k$ is odd.”

Finding irrational entries such that the determinant will never be zero

Showing a polynomial having at least one integer root under certain conditions has precisely one integer root