# A Periodic Property in $Z_m$

by Scott J. Breslin (Nicholls State University) and Brian K. Heck (Nicholls State University)

Mathematics Magazine
December, 2000

Subject classification(s): Primes | Number Theory | Algebra and Number Theory
Applicable Course(s): 4.3 Number Theory | 4.2 Mod Algebra I & II

The authors determine the positive integers $n$ and $m$ for which $x^n=x$ holds for all integers $x \mod m$.

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Capsule Course Topic(s):
Number Theory | Algebraic Structures