We define two polynomials with integer coefficients P,Q to be similar if the coefficients of P are a permutation of the coefficients of Q.
a) if P,Q are similar, then P(2007)−Q(2007) is even
b) does there exist an integer k>2 such that k∣P(2007)−Q(2007) for all similar polynomials P,Q? algebrapolynomialmodular arithmeticalgebra proposed