Question: Exercise 3-3. Find a primitive root modulo each of the primes 47 and 53. How many primitive roots does each have? Express all possible

Exercise 3-3. Find a primitive root modulo each of the primes 47

Exercise 3-3. Find a primitive root modulo each of the primes 47 and 53. How many primitive roots does each have? Express all possible primitive roots of 47 in terms of the one you found.

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

o We know that If n has fprimebia root then it has o... View full answer

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Mathematics Questions!

Suppose that g is a primitive root modulo p, where p is an odd prime. Is it true that g(P-1)/2 =-1 (mod p)? Explain.

If a positive integer g represents a primitive root modulo an odd prime p and k is a positive integer exponent, then )- = (-1)*. true or false

You could have checked the data in Exercise 47 for evidence of racial steering using two-proportion z procedures. In Exercise 47 a) Find the z-value for this approach, and show that when you square...

solve all thank you Exercise 2 Find an equation for the tangent line to the graph of f(x) = 5 - x - 3x2 at the point x = 2 Exercise 3 Find a value for a so that the graph of f(x) = x2 + ax - 3 has a...

Obtain a copy of Generally Accepted Privacy Principles from the AICPAs web site (You will find it by following this path: Under Interest Areas choose Information Management and Technology Assurance...

Using the data in the table for Exercise 3, create a Pareto chart for each of the jams. How do they compare now? Which chart is easier to use? Why? Data From Exercise 3 Feature Strawberry Raspberry...

Consider the situation you addressed in Problem and Exercise 3. Create numeric cost estimates for each of the costs you listed. Calculate the net present value and return on investment. Include a...

Selecting Members The board of directors for the Hartford Investment Fund has 10 members. a. If 3 members are randomly selected to oversee the auditors, find the probability that the three wealthiest...

Suppose that an agent is in a 3 x 3 maze environment like the one shown in Figure 4.18. The agent knows that its initial location is (1,1)1t,h at the goal is at (3,3),a nd that the four actions Up,...

Election 2006 Open up the Election 2006 data set available online at www.pearsoncanada.ca/deveaux, a small part of which is displayed below. a) Use boxplots to compare the percentage of voter turnout...

Information provided by Bell Canada in Winnipeg showed that the average monthly bill for basic service was normally distributed with a mean of $15.30 and a standard deviation of $1.25. If 55 phone...

The Thor International Company operates four factories that ship products to five warehouses. The shipping costs, requirements, and capacities are shown in Figure. Use the transportation method to...

6. Wetting litmus paper with an acid causes it to turn red. Identify the kind of causality intended by the following statements. Is the cause a sufficient condition, necessary condition, or both...

Refer to the Analytical Chemistry (May 2010) study in which medical researchers tested a new method of typing blood using lost cost paper, Exercises 10.6 and 10.22. Recall that the data was used to...

Repeat Example 1.3 using the NSPE Code of Engineering Ethics. Solve using the Engineering Ethics Matrix. Example 1.3 The following scenario is a common situation faced by engineering students. Read...

An invoice was received for $6200 dated June 21 with terms 2/10, n/30. (a) What is the last day for taking the cash discount? (b) What is the amount due if the invoice is paid on the last day for...

A known mixture of compounds A and B gave the following HPLC results: A solution was prepared by mixing 12.49 mg of B plus 10.00 mL of unknown containing just A and diluting to 25.00 mL. Peak areas...

Calculate the total coulombic potential energy of a Na + in a NaCl crystal by considering only up to the fourth nearest neighbors of Na +. The coulombic potential energy for two ions of opposite...

get solution This exit ticket assignment will give you an opportunity to reflect on the key takeaways from Part 3 of our course and consider how you'll apply these evidence analysis techniques in...

Using the same sample space and assumption from Exercise 33, find the probability that when a couple has three children, there are exactly two girls. Use the given sample space or construct the...

Q1: Show that 12 has no primitive root. Q2: Use the fact that if a is a primitive root of m, the all other primitive roots must be of the form a' where gcd(i, (m)) = 1, to find all primitive roots of...

= = Example 3.4 Suppose that S(0) = 100 dollars. 1. Consider a scenario in which S(1) = 110 and S(2) = 100 dollars. In this case K(0, 2) = 0%, while K(1) = 10% and K(2) -9.09%, the sum of the...

In general, an nth root of unit f is called primitive if all the nth roots of unity are obtained by raising it to successive powers: 1, , 2, 3, .... (a) Find all primitive (i) Fourth (ii) Fifth (iii)...

Exercise 3.3: Investment Allocation A capital sum C is available for allocation among n investment projects. If the non-negative amount xj is allocated to project J for J-1, 2, n, the expected return...

Part-time jobs, part 2. Suppose the Dutch business school in Exercise 33 sampled 20 students having part-time jobs instead of 55, and for the sample of 20, the sample mean salary remained 1,200 with...