## Question

###### 2 Let p be the smallest prime which is bigger than the last two digits of your student ID number (10 points) How many primitive roots are there modulo p, 2pl0 and 3pl0? (10 points) Find primitive root g modulo p- (10 points) What is the order of g? modulo p (10 points) Use the primitive root g to express all the quadratic residues modulo p as powers of g (10 points) Is 5 a quadratic residue modulo p? Justify your answer_

2 Let p be the smallest prime which is bigger than the last two digits of your student ID number (10 points) How many primitive roots are there modulo p, 2pl0 and 3pl0? (10 points) Find primitive root g modulo p- (10 points) What is the order of g? modulo p (10 points) Use the primitive root g to express all the quadratic residues modulo p as powers of g (10 points) Is 5 a quadratic residue modulo p? Justify your answer_

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