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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 how integers behave under prime moduli.
Question 2
Easy
Is 341 a Carmichael number?
💡 Hint: Review the characteristics of Carmichael numbers.
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 relate to?
- Determining roots
- Arithmetic under primes
- Finding patterns
💡 Hint: Focus on how it connects integers and primes.
Question 2
True or False: Carmichael numbers are always prime.
- True
- False
💡 Hint: Think about the characteristics of these numbers.
Solve and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
How many distinct integers a exist for a prime p such that a < p and GCD(a, p) = 1?
💡 Hint: Consider the properties of prime numbers.
Question 2
If a number n is found to be a Carmichael number, what does this imply for any potential primality tests?
💡 Hint: Review the definitions of pseudo primes in relation to Fermat's theorem.
Challenge and get performance evaluation