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Bauer's Theorem

Let be an integer and let


be an integer polynomial that has at least one real root. Then f(x) has infinitely many prime divisors that are not congruent to 1 (mod m) (Nagell 1951, p. 168).

Bauer's Identical Congruence, Prime Divisor

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References

Nagell, T. "A Theorem of Bauer on the Prime Divisors of Certain Polynomials." §49 in Introduction to Number Theory. New York: Wiley, pp. 168-169, 1951.




cite this as

Eric W. Weisstein. "Bauer's Theorem." From MathWorld--A Wolfram Web Resource. http://mathworld.wolfram.com/BauersTheorem.html



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