Prime Divisor

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

See also

Bauer's Theorem, Distinct Prime Factors, Divisor, Integer Polynomial, Prime Factor

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

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Prime Divisor

Cite this as:

Weisstein, Eric W. "Prime Divisor." From MathWorld--A Wolfram Web Resource.

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