Instructions: Comprehensively solve/explain the following. Show complete solutions/explanations. 1. What number when divided by 2, 5, 7, 11 and 17 you'll get -17, -11,-7,-5 and -2 respective remainders? 2. Find the remainder of 156! 10024497 mod157 using Fermat Theorem and Wilson's Theorem. 3. Find the residue of 20211202 mod2022 using Euler's Theorem. 4. Find all the solutions of the congruence 5x = 10mod15.
Instructions: Comprehensively solve/explain the following. Show complete solutions/explanations. 1. What number when divided by 2, 5, 7, 11 and 17 you'll get -17, -11,-7,-5 and -2 respective remainders? 2. Find the remainder of 156! 10024497 mod157 using Fermat Theorem and Wilson's Theorem. 3. Find the residue of 20211202 mod2022 using Euler's Theorem. 4. Find all the solutions of the congruence 5x = 10mod15.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section1.2: Exponents And Radicals
Problem 90E
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