For which polynomials $f(x)$ the limit \[ \lim_{x\to \infty}\left(\sqrt[1013]{f(x+2)}-2\sqrt[1013]{f(x+1)}+\sqrt[1013]{f(x)}\right)\] is finite and non-zero? We received no solutions. The answer to the problem is that the limit is finite and non-zero if and only if the degree of $f$ is equal to $2026$. For a detailed solution see the following link {{:pow:2026sproblem1.pdf|Solution}}.