12.4 - Carmichael Numbers and Pseudoprimes
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Practice Questions
Test your understanding with targeted questions
What does Fermat's Little Theorem state?
💡 Hint: Think about the relationship between primes and modular arithmetic.
Give an example of a composite pseudoprime.
💡 Hint: Recall the specific instance we discussed in class.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What does Fermat's Little Theorem establish?
💡 Hint: Think about the relationship between prime numbers and modular arithmetic.
Carmichael numbers are:
💡 Hint: What is the definition of a Carmichael number?
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Challenge Problems
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Cryptographic algorithms often use Fermat’s theorem for primality testing. Design a potential algorithm that addresses both pseudoprimes and Carmichael numbers.
💡 Hint: Consider various bases instead of just one.
Given a list of numbers, identify possible pseudoprimes and Carmichael numbers.
💡 Hint: A pseudoprime meets the conditions for selective bases; Carmichael for all—distinguish between them!
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