12.5.2 - Final Remarks on Number Theory
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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 raise numbers that fit this requirement.
What is a Carmichael number? Give an example.
💡 Hint: These numbers can fool primality tests!
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Interactive Quizzes
Quick quizzes to reinforce your learning
Which statement accurately describes Fermat's Little Theorem?
💡 Hint: Which option keeps the focus on co-primality?
True or False: All composite numbers are Carmichael numbers.
💡 Hint: Think about examples of composites that are not Carmichael.
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Challenge Problems
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Given the number 561, demonstrate why it is a Carmichael number using Fermat’s Little Theorem for bases 2, 3, and 5.
💡 Hint: Use Fermat's theorem for your calculations.
Construct your primality testing algorithm incorporating Fermat’s theorem, listing steps you would take to strengthen it against Carmichael numbers.
💡 Hint: Think about involving multiple tests!
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