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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
What does Fermat's Little Theorem state?
💡 Hint: Think about the relationship between primes and coprime integers.
Question 2
Easy
Define Carmichael numbers.
💡 Hint: They trick primality tests!
Practice 4 more questions and get performance evaluation
Interactive Quizzes
Engage in quick quizzes to reinforce what you've learned and check your comprehension.
Question 1
What does Fermat's Little Theorem establish?
- Prime relationship with multiplication
- Behavior of powers under modular arithmetic
- Divisibility rules
💡 Hint: Recall the theorem's specifics.
Question 2
Are Carmichael numbers prime numbers?
- True
- False
💡 Hint: Think about their characteristics.
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Determine if 561 is prime using Fermat's theorem with b = 2.
💡 Hint: Use the properties of modular arithmetic.
Question 2
Prove that for any prime p, it holds that (p-1)! ≡ -1 (mod p).
💡 Hint: Consider the properties of factorials and how they relate to primes.
Challenge and get performance evaluation