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(a) Find a prime number P above 5,000. (b) Determine how many primitiveelements are in the multiplicative group Z* P (c) What is the probability

(a) Find a prime number P above 5,000.

(b) Determine how many primitiveelements are in the multiplicative group Z*P

(c) What is the probability that a randomly selected member of Z*P is a primitive element?

(d) What are thepossible orders of elements of Z*P?

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