Question: Show that 2821 is a Carmichael number.

Show that 2821 is a Carmichael number.

Step by Step Solution

★★★★★

3.44 Rating (154 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

We factor 2821 71331 We must show that this number ... View full answer

blur-text-image
Question Has Been Solved by an Expert!

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

Step: 2 Unlock
Step: 3 Unlock

Document Format (1 attachment)

Word file Icon

923-M-C-M-S (1697).docx

120 KBs Word File

Students Have Also Explored These Related Statistics Questions!

Q:

a) Use Exercise 48 to show that every integer of the form (6m + 1)(12m + 1)(18m + 1), where m is a positive integer and 6m + 1, 12m + 1, and 18m + 1 are all primes, is a Carmichael number. b) Use...

Q:

Show that if m is any real number, then there are exactly two lines of slope that are tangent to the ellipse x2/a2 + y2/b2 = 1 and their equations are y = a2m2 + b2.

Q:

Show that in a network G with all cij = 1, the maximum flow equals the number of edge-disjoint paths s t.

Q:

A) Suppose today is Sunday what day will be after 10100 days from now? B) Show that if 2821 is a Carmichael number C) Find the discrete logarithms of 5 and 6 to the base 2 modulo 19

Q:

Problem 5 (Pseudoprimes and Carmichael Numbers!). We have seen that an integer n is prime when it is not divisible by any prime p with p n. Unfortunately, using this criterion to show that a given...

Q:

1) We have shown that if p is a prime number then for all a, a p = a mod p (Fermat). Hence if there exists a such that a p 6= a mod p, then p is a composite number (not a prime). Use this to show 231...

Q:

1) We have shown that if p is a prime number then for all a, a p = a mod p (Fermat). Hence if there exists a such that a p 6= a mod p, then p is a composite number (not a prime). Use this to show 231...

Q:

Problem 35: Set L= 216. Use Erds's method to construct a Carmichael number with three prime factors that is one more than a multiple of L. To do this, you should create the set P in step (ii) from...

Q:

Note that 561 is not prime, because 561 = 3.11.17. Interestingly, 561 satisfies a curious property that a561 = a (mod 561) holds for every integer a, which makes it 561 an example of a Carmichael...

Q:

5. Let *n* = *p* 1 *k* 1 *p* 2 *k* 2 ... *p* *m* *k* *m* be the unique prime factorization of *n*. Define (*n*) as the least common multiple (see p. 259) of all (*p* *i* *k* *i* ), where *i* = 1, 2,...

Q:

Patients with pleural infections (fluid buildup in the chest) were randomly assigned to either placebo (n = 55), the treatment "tPA" (tissue plasminogen activator) (n = 52), the treatment "DNase"...

Q:

In 3.15 Program: Text message expander (Java) Im stuck on one thing everything else is righ,t here is my code. import java.util.Scanner; public class TextMsgExpander { public static void...

Q:

Method of Least Squares, Budgeted Time Period Is Different from Time Period Used to Generate Results Refer to the company information in Exercise 3-52. Required: 1. What is the cost formula for a...

Q:

9. Let X be the force applied to a randomly selected beam for 150 hours, and let Y take the value 1 or 0 depending on whether the beam fails or not. The random variable X takes the values 4, 5, and 6...

Q:

Samples of a cast aluminum part are classified on the basis of surface finish (in micro inches) and length measurements. The results of 100 parts are summarized as follows:

Q:

The analysis of shafts for a compressor is summarized by conformance to specifications:

Q:

The following table summarizes the analysis of samples of galvanized steel for coating weight and surface roughness

Q:

Chap 27 - 5 You work for a nuclear research laboratory that is contemplating leasing a diagnostic scanner (leasing is a very common practice with expensive, high-tech equipment). The scanner costs...

Q:

For Johnson and Johnson, I need help addressing the monthly compounding for Q1 of 2022. Chart does not need to be filled, I would just like an estimate for rate of return and initial investment ratio...

Q:

Nancys Notions pays a delivery firm to distribute its products in the metro area. Delivery costs are $32,000 per year. Nancy can buy a used truck for $8,000 that will be adequate for the next 5...