12.1.4 - Proof of Fermat's Little Theorem
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Practice Questions
Test your understanding with targeted questions
State Fermat's Little Theorem in your own words.
💡 Hint: Think about what happens when you take a large exponent!
What does it mean for two numbers to be co-prime?
💡 Hint: Consider examples of small integers!
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Interactive Quizzes
Quick quizzes to reinforce your learning
What does Fermat's Little Theorem state?
💡 Hint: Focus on what happens when a is raised to the power of p-1.
True or False: All pseudo primes satisfy Fermat's little theorem for every base.
💡 Hint: Reflect on the nature of Carmichael numbers.
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Challenge Problems
Push your limits with advanced challenges
Prove that 13 is a prime using Fermat's Little Theorem.
💡 Hint: Use several examples of a and compute explicitly.
Find a Carmichael number greater than 561.
💡 Hint: Check divisibility and apply Fermat's theorem multiple times!
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