You are given a prime p = 4969 and the corresponding multiplicative group Z4969*. If possible, a detailed explaination. Thank you.  How many generators exist in this group? What is the probability of a randomly chosen element to be a generator Find a generator for this group with a>1000 Find a generator for the larges

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter9: Sequences, Probability And Counting Theory
Section9.5: Counting Principles
Problem 4SE: Answer the following questions. 4. Describe how the permutation of ii objects differs from the...
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You are given a prime p = 4969 and the corresponding multiplicative group Z4969*. If possible, a detailed explaination. Thank you. 

    1. How many generators exist in this group?
    2. What is the probability of a randomly chosen element to be a generator
    3. Find a generator for this group with a>1000
    4. Find a generator for the largest subgroup
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