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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
What is Fermat's Little Theorem?
💡 Hint: Think about the relationship between primes and powers.
Question 2
Easy
State the corollary of Fermat's Little Theorem.
💡 Hint: Consider how division by p affects powers.
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) ≡ 0 (mod p)
- a^(p-1) ≡ 1 (mod p)
- a ≡ 0 (mod p)
💡 Hint: Think about congruence relations with primes.
Question 2
True or False: Carmichael numbers pass Fermat's theorem condition for every base.
- True
- False
💡 Hint: Consider definitions of pseudo primes.
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
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.
Question 2
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.
Challenge and get performance evaluation