Question 17
Prove that there are infinitely many positive integers $n$ such that the equation
$$
x^2 + y^{11} - z^{2022!} = n
$$
has no solution $(x, y, z)$ over the integers.
$$
x^2 + y^{11} - z^{2022!} = n
$$
has no solution $(x, y, z)$ over the integers.