Answered: Problem 15.2. Let n = 2821 = 7 · 13 ·…

Problem 15.2. Let n = 2821 = 7 · 13 · 31. Prove that a"-1 = 1 (mod n) whenever gcd(a, n) = 1. What can you say about the universal exponent X(Un)?

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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Problem 15.2. Let n = 2821 = 7 · 13 · 31. Prove that a"-1 = 1 (mod n) whenever gcd(a, n) = 1.
What can you say about the universal exponent A(Un)?

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