Let a = 25, b = 19, and n = 3.a. Verify that 3

Chapter 8, Problem 3E

(choose chapter or problem)

Let a = 25, b = 19, and n = 3.a. Verify that 3 | (25 ? 19).b. Explain why 25 ? 19 (mod 3).c. What value of k has the property that 25 = 19 + 3k?d. What is the (nonnegative) remainder obtained when 25 is divided by 3? When 19 is divided by 3?e. Explain why 25 mod 3 = 19 mod 3.

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