12.1 - Discrete Mathematics
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Practice Questions
Test your understanding with targeted questions
What is Fermat's Little Theorem?
💡 Hint: Think about the relationship between primes and powers.
State the corollary of Fermat's Little Theorem.
💡 Hint: Consider how division by p affects powers.
4 more questions available
Interactive Quizzes
Quick quizzes to reinforce your learning
What does Fermat's Little Theorem state?
💡 Hint: Think about congruence relations with primes.
True or False: Carmichael numbers pass Fermat's theorem condition for every base.
💡 Hint: Consider definitions of pseudo primes.
1 more question available
Challenge Problems
Push your limits with advanced challenges
Demonstrate that 623 is not prime using Fermat’s theorem and explain the reasoning.
💡 Hint: Use several bases to test the true nature of 623.
Using Fermat’s theorem, test whether 341 can be declared prime given various bases and show examples.
💡 Hint: Check bases coprime with 341; recall 341 = 11 * 31.
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