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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: Focus on the conditions involving **p** and **a**.
Question 2
Easy
Give an example of a number that is co-prime to 7.
💡 Hint: Think about multiples.
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 allow us to conclude if b^(p-1) ≡ 1 (mod p)?
- **p is prime**
- **p is composite**
- **a is prime**
💡 Hint: Remember valid conditions of the theorem.
Question 2
Is the statement 'All Carmichael numbers are prime' true?
- True
- False
💡 Hint: Recall the definition of a Carmichael number.
Solve and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Using Fermat's Little Theorem, prove that a^(p-1) ≡ 1 (mod p) holds for large p and any a co-prime to it. Provide an example.
💡 Hint: Select a prime larger than 10.
Question 2
Explore the implications of Carmichael numbers. Investigate if any Carmichael numbers exist and discuss their significance.
💡 Hint: Use online mathematical databases or number theory resources.
Challenge and get performance evaluation