Question

Use the Miller–Rabin test on each of the following numbers. In each case, either provide a...

Use the Miller–Rabin test on each of the following numbers. In each case, either provide a Miller–Rabin witness for the compositeness of n, or conclude that n is probably prime by providing 5 numbers that are not Miller–Rabin witnesses for n.
1- 523

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
For each of the following exercises: For each test use either the critical value or the...
For each of the following exercises: For each test use either the critical value or the P-value method you are not required to use both. a.) State the claim and the hypothesis. b.) Find the critical value(s) and describe the critical (rejection) region You can choose to use the P-value method in this case state the P-value after the test value. c.) Compute the test value (statistic) d.) Make a decision e.) Summarize the results (conclusion) A study was conducted...
Use either R or Excel for the following. Provide the formulas or code that you are...
Use either R or Excel for the following. Provide the formulas or code that you are using. Let x1 be a random variable that is N(100, 225). Let x2 be a random variable that is U(50,150) and let x3 be a random variable that is U(500,1500). Set Y = (X1)(X2)/ (X3) a) Use R to create 500 random numbers of each type (X1, X2, X3 and Y). b) Estimate P(0.1 < Y < 0.25) c) Estimate E(Y) and the Standard...
Determine if the following statements are true or false. In either case, provide a formal proof...
Determine if the following statements are true or false. In either case, provide a formal proof using the definitions of the big-O, big-Omega, and big-Theta notations. For instance, to formally prove that f (n) ∈ O(g(n)) or f (n) ∉ O(g(n)), we need to demonstrate the existence of a constant c and a sufficient large n0 such that f (n) ≤ c g(n) for all n ≥ n0, or showing that there are no such values. a) [1 mark] 10000n2...
Which of the following are degree sequences of graphs? In each case, either draw a graph...
Which of the following are degree sequences of graphs? In each case, either draw a graph with the given degree sequence or explain why no such graph exists. a- (2,0,6,4,0,0,0,...) b- (0,10,0,1,2,1,0,...) c- (3,1,0,2,1,0,0,...) d- (0,0,2,2,1,0,0,..)
Complete the following Self-Test exercises (each program should allow the user to enter the data being...
Complete the following Self-Test exercises (each program should allow the user to enter the data being tested as often as the user wishes) In addition to displaying the output, provide a brief explanation as to how the computer arrived at that output.   What output will be produced by the following code, when embedded in a complete program? int first_choice = 1; switch (first_choice + 1) { case 1: cout << "Roast beef\n"; break; case 2: cout << "Roast worms\n"; break;...
3. For each of the following statements, either provide a short proof that it is true...
3. For each of the following statements, either provide a short proof that it is true (or appeal to the definition) or provide a counterexample showing that it is false. (e) Any set containing the zero vector is linearly dependent. (f) Subsets of linearly dependent sets are linearly dependent. (g) Subsets of linearly independent sets are linearly independent. (h) The rank of a matrix is equal to the number of its nonzero columns.
An integer 'n' greater than 1 is prime if its only positive divisor is 1 or...
An integer 'n' greater than 1 is prime if its only positive divisor is 1 or itself. For example, 2, 3, 5, and 7 are prime numbers, but 4, 6, 8, and 9 are not. Write a python program that defines a function isPrime (number) with the following header: def isPrime (number): that checks whether a number is prime or not. Use that function in your main program to count the number of prime numbers that are less than 5000....
Research the hexagonal numbers whose explicit formula is given by Hn=n(2n-1) Use colored chips or colored...
Research the hexagonal numbers whose explicit formula is given by Hn=n(2n-1) Use colored chips or colored tiles to visually prove the following for .(n=5) [a] The nth hexagonal number is equal to the nth square number plus twice the (n-1) ^th triangular number. Also provide an algebraic proof of this theorem for full credit [b] The nth hexagonal number is equal to the (2n-1)^th triangular number. Also provide an algebraic proof of this theorem for full credit. Please use (...
For each of the following, provide an example of a hypothesis test for a proportion with...
For each of the following, provide an example of a hypothesis test for a proportion with both words and symbols of writing an alternative hypothesis: With "not equal" With "greater than" With "less than"
Determine whether each of the following series converges or not. (Name the test you use. You...
Determine whether each of the following series converges or not. (Name the test you use. You do not have to evaluate the sums of these series). Please write as big and neatly as possible in your answer, demonstrating all steps. a) Sum infinity n = 1 of square root n/n^3+1 b) Sum infinity n = 2 of 1/nln(n)
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT