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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 the prime number and its co-primality with 'a'.
Question 2
Easy
What are Carmichael numbers?
💡 Hint: Recall the relationship between composites and primes.
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?
- It applies to even numbers only.
- It applies to odd numbers only.
- It applies to prime numbers.
💡 Hint: Remember the conditions around primes in mathematics.
Question 2
Is the number 561 prime?
- True
- False
💡 Hint: Recall the characteristics unique to prime versus composite numbers.
Solve and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Prove that 561 is a Carmichael number.
💡 Hint: No hint provided
Question 2
Apply Fermat's theorem to validate a large number, say 101 with base 5.
💡 Hint: Remember the methodology examining the base in our previous classes.
Challenge and get performance evaluation