Find all solutions of the following equation where it is required that $x, k, y, n$ are positive integers with the exponents $k$ and $n$ both $> 1$. $$20x^k + 24y^n = 2024$$
Find all solutions of the following equation where it is required that $x, k, y, n$ are positive integers with the exponents $k$ and $n$ both $> 1$.
$$20x^k + 24y^n = 2024$$