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Practice Questions
Test your understanding with targeted questions related to the topic.
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.
Practice 4 more questions and get performance evaluation
Interactive Quizzes
Engage in quick quizzes to reinforce what you've learned and check your comprehension.
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.
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
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.
Question 2
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.
Challenge and get performance evaluation