New posts in Diophantine Equations

Elementary solution of exponential Diophantine equation $2^x - 3^y = 7$.

Show that this polynomial in two variables has no integer solutions

If $28a + 30b + 31c = 365$, then what is the value of $a +b +c$?

Are there ways to solve equations with multiple variables?

Why can't we use the law of cosines to prove Fermat's Last Theorem?

Number of positive unequal integer solutions of $x+y+z+w=20$

The number of positive integer solutions to the equation $x_1+2x_2+...+nx_n=n^2.$

Nature and number of solutions to $xy=x+y$

Solve for integers $x, y, z$ such that $x + y = 1 - z$ and $x^3 + y^3 = 1 - z^2$.

Positive integers $a,b$ satisfying $a^3+a+1=3^b$