(a) Use cases based on congruence modulo 3 and properties of congruence to prove that for each integer n, n³ = n (mod 3).

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter2: The Integers
Section2.7: Introduction To Coding Theory (optional)
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(a) Use cases based on congruence modulo 3 and properties of congruence
to prove that for each integer n, n³ = n (mod 3).
Transcribed Image Text:(a) Use cases based on congruence modulo 3 and properties of congruence to prove that for each integer n, n³ = n (mod 3).
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