Recall that g is called a primitive root modulo p if the powers of g give all nonzero elements of Fp. For which of the following primes is 3 a primitive root modulo p? (i) p = 5 (ii) p = 7 (iii) p = 11 (iv) p = 17

Q: .3x = 4(mod5).

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A: Please see the attachment

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Q: all Natural numbers, n, that make 62 ≡≡ 46 mod n. Show all your work:

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Q: a.) Determine if x< = 2 (mod 7817) has solutions. b.) Determine if x< = 3760 (mod 4861) has…

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Q: If n is an integer, then (2n² + 3n)# 3(mod5).

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Q: na ed t 4. Use the theory of congruences to verify that 25| (2"+4 + 33n+2 – 53n+6) for all n eN

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Q: (b) Find a prime p> 5 such that 2 and 3 are both primitive roots modulo P.

A: We test all the primes p&gt;5 and see which prime works.

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Q: 2. For which odd primes p is 11 a

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Q: Suppose that a, b are integers such that 1 = -19a + 45b. Use this information to find all integers a…

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Q: Then Find inverse of 21 mod 200.

A: