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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
State Fermat's Little Theorem.
💡 Hint: Think about what prime means.
Question 2
Easy
What is a pseudo prime?
💡 Hint: It behaves like a prime for certain 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 state?
- A number raised to its modulus is always 1.
- If p is prime
- then a^(p-1) ≡ 1 (mod p) for a not divisible by p.
- Only even numbers are prime.
💡 Hint: Focus on primes and powers.
Question 2
True or False: Carmichael numbers are primes.
- True
- False
💡 Hint: Think about what defines a prime number.
Solve and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Determine the number of distinct Carmichael numbers up to 1000, utilizing the properties discussed in class.
💡 Hint: Check the composite nature and co-prime conditions.
Question 2
If we observe that b^(n-1) ≡ 1 (mod n) for various bases, how can we design a further verification step using another theorem or method?
💡 Hint: Think of double-checking solutions through additional methodologies.
Challenge and get performance evaluation