How do I prove this: Show that if x ≡ 1(mod n), then x^2 ≡ 1(mod n) and x^3 ≡ 1(mod n) and how to I explain this: explain why this argument should extend to show that if x ≡ 1(mod n), then x^k ≡ 1(mod n) for all k ∈ N
How do I prove this: Show that if x ≡ 1(mod n), then x^2 ≡ 1(mod n) and x^3 ≡ 1(mod n) and how to I explain this: explain why this argument should extend to show that if x ≡ 1(mod n), then x^k ≡ 1(mod n) for all k ∈ N
Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter2: The Integers
Section2.5: Congruence Of Integers
Problem 30E: 30. Prove that any positive integer is congruent to its units digit modulo .
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How do I prove this: Show that if x ≡ 1(mod n), then x^2 ≡ 1(mod n) and x^3 ≡ 1(mod n) and how to I explain this: explain why this argument should extend to show that if x ≡ 1(mod n), then x^k ≡ 1(mod n) for all k ∈ N.
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