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).
Prime Divisor
See also
Bauer's Theorem, Distinct Prime Factors, Divisor, Integer Polynomial, Prime FactorExplore with Wolfram|Alpha
References
Nagell, T. "Prime Divisors of Integral Polynomials." §25 in Introduction to Number Theory. New York: Wiley, pp. 81-83, 1951.Referenced on Wolfram|Alpha
Prime DivisorCite this as:
Weisstein, Eric W. "Prime Divisor." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/PrimeDivisor.html