SOLVED: 6 Let Fn = 22" 1, n > 1, be prime Fermat number. Show that 3 is primitive root modulo Fn:

If p=2^n 1 is a Fermat prime, show that 3 is a primitive root modulo p. | Numerade

Show that 2 is a primitive root modulo 29 . | Numerade

Find all primitive roots of 25.... | Filo

Find a complete set of incongruent primitive roots of 19 .... | Filo

Is 3 a primitive root of 7?

SOLVED: Suppose that a is a primitive root modulo p^*, p an odd prime. Show that a is a primitive root modulo p. | Numerade

SOLVED: Problem 7: Observe that 227 is a prime number:(a) Find a primitive root modulo 227.(b) Once you know a primitive root modulo p, how can you find another primitive root modulo p? Justify your answer.(c) Using the method you described in (b), find another primitive root modulo 227.(d) Use the two roots to define the discrete logarithm hash function h (here q = 113 and, as required, it is a prime number).(e) Apply the function from (d) to compute h(9607).