explain why the set (1,3,32,3³,..., 3¹5} constitutes a CSR modulo 17

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section1.1: Real Numbers
Problem 38E
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Question 4 

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4. Let m > 0, then a complete system of remainders modulo m (CSR)
is a set of m integers, 11, 12,..., Tm no two of which is congruent
modulo m.Example: 0, 1, 2, 3,...,m - 1 (This is just an example)
Without a calculator or a computer, and clearly showing the steps,
explain why the set (1,3,32,3³,..., 3¹5} constitutes a CSR modulo 17
(Make sure you read the definition of a CSR carefully, then proceed)
Transcribed Image Text:4. Let m > 0, then a complete system of remainders modulo m (CSR) is a set of m integers, 11, 12,..., Tm no two of which is congruent modulo m.Example: 0, 1, 2, 3,...,m - 1 (This is just an example) Without a calculator or a computer, and clearly showing the steps, explain why the set (1,3,32,3³,..., 3¹5} constitutes a CSR modulo 17 (Make sure you read the definition of a CSR carefully, then proceed)
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