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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: Look at the conditions involving p and a.
Question 2
Easy
Define a Carmichael number.
💡 Hint: Think of numbers that behave like primes under 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 is the significance of Fermat's Little Theorem?
- Proves all numbers are primes
- Forms a basis for primality testing
- Is irrelevant
💡 Hint: Consider its applications in real-life situations.
Question 2
True or False: All composite numbers can be identified using Fermat's Little Theorem.
- True
- False
💡 Hint: Think critically about the exceptions in number theory.
Solve and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Prove that 341 is a false prime using Fermat's theorem.
💡 Hint: Use a base like 2 or 3, and calculate carefully.
Question 2
Describe an efficient way to test for Carmichael numbers and implement it in a function.
💡 Hint: Look up conditions for known Carmichael numbers.
Challenge and get performance evaluation