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A Periodic Property in \(Z_m\)

The authors determine the positive integers \(n\) and \(m\) for which \(x^n=x\) holds for all integers \(x \mod m\).
Old Node ID: 
3419
MSC Codes: 
11A41
Author(s): 
Scott J. Breslin (Nicholls State University) and Brian K. Heck (Nicholls State University)
Publication Date: 
Thursday, February 10, 2000
Original Publication Source: 
Mathematics Magazine
Original Publication Date: 
December, 2000
Subject(s): 
Primes
Number Theory
Algebra and Number Theory
Topic(s): 
Algebraic Structures
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Publish Page: 
Furnished by JSTOR: 
Rating Count: 
58.00
Rating Sum: 
171.00
Rating Average: 
2.95
Applicable Course(s): 
4.3 Number Theory
4.2 Mod Algebra I & II
Modify Date: 
Saturday, August 25, 2012
Average: 3 (58 votes)

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