Prime Divisor

If  is a nonconstant integer polynomial and  is an integer such that  is divisible by the prime , that  is called a prime divisor of the polynomial  (Nagell 1951, p. 81). Every integer polynomial  which is not a constant has an infinite number of prime divisors (Nagell 1951, p. 82).

REFERENCES:

Nagell, T. "Prime Divisors of Integral Polynomials." §25 in Introduction to Number Theory. New York: Wiley, pp. 81-83, 1951.