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Suppose that gcd ( a , 53 ) = 1 , a 4 ≢ 1 (...

Suppose that gcd ( a , 53 ) = 1 , a 4 ≢ 1 ( mod 53 ) , and a 26 ≢ 1 ( mod 53 ) . Show that a is a primitive root mod 53 . Let n = 151 and suppose gcd ( a , n ) = 1 . How many powers of a would you have to check to determine whether a is a primitive root mod n ?

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