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 Factor## Explore 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 Divisor## Cite this as:

Weisstein, Eric W. "Prime Divisor." From
*MathWorld*--A Wolfram Web Resource. https://mathworld.wolfram.com/PrimeDivisor.html