Question: 3. (25 points) Find your own prime number p in the Table. (a) Consider the multiplicative group F, and find a generator (primitive root)

3. (25 points) Find your own prime number p in the Table.

3. (25 points) Find your own prime number p in the Table. (a) Consider the multiplicative group F, and find a generator (primitive root) of it. Hint: F has o(p) = p - 1 elements and the order of an element must divide the order of group. (b) Use the extended Euclidean Algorithm to compute the inverse of 5 mod p. p = 1109 q = 73

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a Answer 263 has 130 primitive roots and they are 5 7 10 14 15 19 20 21 28 29 30 38 40 4... View full answer

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