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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
State Fermat's Little Theorem in your own words.
💡 Hint: Think about what happens when you take a large exponent!
Question 2
Easy
What does it mean for two numbers to be co-prime?
💡 Hint: Consider examples of small integers!
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 state?
- a^(p) ≡ 1 mod p
- a^(p-1) ≡ 1 mod p
- a^(p+1) ≡ 0 mod p
💡 Hint: Focus on what happens when a is raised to the power of p-1.
Question 2
True or False: All pseudo primes satisfy Fermat's little theorem for every base.
- True
- False
💡 Hint: Reflect on the nature of Carmichael numbers.
Solve and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Prove that 13 is a prime using Fermat's Little Theorem.
💡 Hint: Use several examples of a and compute explicitly.
Question 2
Find a Carmichael number greater than 561.
💡 Hint: Check divisibility and apply Fermat's theorem multiple times!
Challenge and get performance evaluation