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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
Define what a pseudoprime is.
💡 Hint: Think about the related concept of primality testing.
Question 2
Easy
Give an example of a Carmichael number.
💡 Hint: Recall that it satisfies specific conditions for all coprime bases.
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 defines a pseudoprime?
- A prime number
- A composite number satisfying Fermat's Theorem
- A number that is always prime
💡 Hint: Focus on its relation to Fermat’s theorem.
Question 2
True or False: All Carmichael numbers are pseudoprime.
- True
- False
💡 Hint: Recall the definitions of both concepts.
Solve and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Prove that a number which is not a pseudoprime cannot pass primality tests for every base.
💡 Hint: Consider analyzing the conditions laid out by Fermat's theorem as you reason through.
Question 2
Given a composite number, demonstrate how to identify if it is a Carmichael number.
💡 Hint: Use the definition of Carmichael numbers to guide your reasoning.
Challenge and get performance evaluation