12.5 - Examples and Concluding Thoughts
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Practice Questions
Test your understanding with targeted questions
What does Fermat's Little Theorem state?
💡 Hint: Look at the conditions involving p and a.
Define a Carmichael number.
💡 Hint: Think of numbers that behave like primes under certain tests.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What is the significance of Fermat's Little Theorem?
💡 Hint: Consider its applications in real-life situations.
True or False: All composite numbers can be identified using Fermat's Little Theorem.
💡 Hint: Think critically about the exceptions in number theory.
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Challenge Problems
Push your limits with advanced challenges
Prove that 341 is a false prime using Fermat's theorem.
💡 Hint: Use a base like 2 or 3, and calculate carefully.
Describe an efficient way to test for Carmichael numbers and implement it in a function.
💡 Hint: Look up conditions for known Carmichael numbers.
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