Multiplicative group of integers modulo n - Alchetron, the free social encyclopedia
Multiplicative group of integers modulo n - Alchetron, the free soc…
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1.3: Integers Modulo n
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1. (15 pts) Let n be a positive integer. Two integers x and y are congruent modulo n, denoted x = y (mod n), if n|(x - y). Prove that 20 = 6 (mod 7).2. (25 pts) In Lesson 1 Exercises #9, we define the floor and ceiling of a real number x. The floor of x, |x|, is the largest integer less than or equal to x. The ceiling of x, [x], is the least integer greater than or equal to x. Here we give another definition based on the above definitions. A positive real number is spech if [2x] < [x]. a) (10 pt
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