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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 the relationship involving prime numbers.
Question 2
Easy
Provide an example of a pseudoprime.
💡 Hint: Consider numbers that pass the Fermat test but are not prime.
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?
💡 Hint: Focus on the relationship between primes and modular arithmetic.
Question 2
True or False: Every pseudoprime is a prime number.
- True
- False
💡 Hint: Recall the definition of pseudoprimes.
Solve and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Prove that the number 341 is a pseudoprime to base 2 by demonstrating that 2^340 ≡ 1 (mod 341).
💡 Hint: Simplify your calculation using smaller powers and modular arithmetic.
Question 2
Create a composite number larger than 100 that is also a Carmichael number. Verify that it satisfies the conditions.
💡 Hint: Look for composite numbers that are products of distinct primes.
Challenge and get performance evaluation