Chapter 3, Problem 14

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Prove or disprove

(x mod ny) mod y = x mod y, for all integer n

• Problem Solution

We know that

x mod y = p (Equation 1)

What is the value of (x mod ny) mod y?

2008‐4‐17 6

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Prove or disprove (x mod ny) mod y = x mod y, for all integer n • Problem Solution We know that x mod y = p (Equation 1) What is the value of (x mod ny) mod y? 2008‐4‐17 6

Prove or disprove (x mod ny) mod y = x mod y, for all integer n • Problem Solution x = my + p (|p|

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Chapter 3, Problem 14

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