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Find ord5(2), ord7(2), ord11(2), and ord11(3). Where ordn(x) represents the order of x modulo n. Do...

Find ord5(2), ord7(2), ord11(2), and ord11(3). Where ordn(x) represents the order of x modulo n. Do these by hand and show all work.

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Homework Answers

Answer #1

1.)

Let , Then

So the order of 2 modulo 5 is 4.

2.)

Let , Then

So the order of 2 modulo 7 is 3.

3.)

Let , Then

So the order of 2 modulo 11 is 10.

4.)

Let , Then

So the order of 3 modulo 11 is 5.

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