Suppose P(x) is a degree n monic polynomial with integer coefficients such that 2013 divides P(r) for exactly 1000 values of r between 1 and 2013 inclusive. Find the minimum value of n.
Suppose P(x) is a degree n monic polynomial with integer coefficients such that 2013 divides P(r) for exactly 1000 values of r between 1 and 2013 inclusive. Find the minimum value of n.