Exercise
Given that p is an odd prime, which of the following statements is wrong?
x is a primitive element of Z/pZ\{0} if and only if xj is not equal to 1 mod p for j = 1, ... ,p - 2.
x is a primitive element of Z/pZ\{0} if and only if xj is not equal to 1 mod p for j = 1, ... ,(p - 3).
x is a primitive element of Z/pZ\{0} if and only if xj is not equal to 1 mod p for j=1, ... ,(p - 1)/2.
This statement is right, so your answer is wrong, try again.
Yes, this statement is wrong, but only just: take p = 3and x = 1.
This statement is right, so your answer is wrong, try again.