MathDB

Find the smallest positive integer

j

such that for every polynomial

p(x)

with integer coefficients and for every integer

k,

the integer

p^{(j)}(k)=\left. \frac{d^j}{dx^j}p(x) \right|_{x=k}

(the

j

-th derivative of

p(x)

k

) is divisible by

2016.

A1