New posts in Diophantine Equations

Determine if $x^3+y^3+z^3+t^3 = 10^{2021}$ has a solution

What are all the integral solutions of $n!=m(m^2-1)$?

Cubic Diophantine

Solving Dudeney's "A Question of Cubes": sum of consecutive cubes is a square

Values of $a$ such that $x^5-x-a$ has quadratic factor

Which positive integers $a$ and $b$ make $(ab)^2-4(a+b) $ a square of an integer?

Analyzing a Diophantine equation: $A^k + 1 = B!$ Efficient way to solve.

Prove that the diophantine equation $(xz+1)(yz+1)=az^{k}+1$ has infinitely many solutions in positive integers.

Determine if the Diophantine equation $x^{2008}-y^{2008}=2^{2009}$ has any solutions.

Diophantine equation $x^2 + xy − 3y^2 = 17$