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.
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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