Question 50
Let $d(n)$ be the smallest prime divisor of integer $n \notin \{0, -1, +1\}$. Determine all polynomials $P(x)$ with integer coefficients satisfying
$$
P(n+d(n)) = n+d(P(n))
$$
for all integers $n \gt 2014$ for which $P(n) \notin \{0, -1, +1\}$.
$$
P(n+d(n)) = n+d(P(n))
$$
for all integers $n \gt 2014$ for which $P(n) \notin \{0, -1, +1\}$.