12.4.1 - Definition of Pseudoprimes
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Practice Questions
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Define what a pseudoprime is.
💡 Hint: Think about the related concept of primality testing.
Give an example of a Carmichael number.
💡 Hint: Recall that it satisfies specific conditions for all coprime bases.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What defines a pseudoprime?
💡 Hint: Focus on its relation to Fermat’s theorem.
True or False: All Carmichael numbers are pseudoprime.
💡 Hint: Recall the definitions of both concepts.
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Challenge Problems
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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.
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.
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