Practice Characteristics of Carmichael Numbers - 12.4.2 | 12. Introduction to Fermat’s Little Theorem and Primality Testing | Discrete Mathematics - Vol 3
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Characteristics of Carmichael Numbers

12.4.2 - Characteristics of Carmichael Numbers

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Learning

Practice Questions

Test your understanding with targeted questions

Question 1 Easy

What is a Carmichael number?

💡 Hint: Recall the definition we covered.

Question 2 Easy

Give an example of a Carmichael number.

💡 Hint: Think of the examples discussed in class.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What is a Carmichael number?

A prime number
A composite number satisfying Fermat's theorem for all coprime bases
A pseudo prime for certain bases

💡 Hint: Remember the defining characteristics we reviewed.

Question 2

True or False: All composite numbers are Carmichael numbers.

True
False

💡 Hint: Consider the special properties of Carmichael numbers.

1 more question available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Identify and verify if 1729 is a Carmichael number and discuss its properties.

💡 Hint: Check its prime factors: 7, 13, and 19, ensuring all conditions are satisfied.

Challenge 2 Hard

Create an algorithm or step-by-step method that incorporates checks for Carmichael numbers in primality testing.

💡 Hint: Use the characteristics we discussed to create conditions.

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