New posts in Diophantine Equations

Solutions $a,b,c \mid 1+a+b+c $ over positive integers algebraically (avoiding brute force)?

How can I find the integers $x,y$?

Intuition behind Diophantine approximation: why do we express the bound as function of denominators?

If an integer is not sum of two cubes in integers, then the integer cannot be sum of two cubes modulo every integer.

How can we solve an equation with two variables, when only given one equation?

Does every odd integer $m$ satisfy $3^x(m)-2^y=1$ for some integer values of $x$ and $y$?

Prime $p$ with $p^2=3m^2+1$ and $p\equiv 1 \mod 4$

What is the general solution of this equation :$2^x 3^y+1=7^z$ with $x, y , z$ are integers?

Proving non-trivial integer solutions don't exist for $z^2=10x^2-5y^2$

Finding all the integer solutions