Practice Fermat's Little Theorem - 12.1.2 | 12. Introduction to Fermat’s Little Theorem and Primality Testing | Discrete Mathematics - Vol 3
K12 Students

Academics

AI-Powered learning for Grades 8–12, aligned with major Indian and international curricula.

Professionals

Professional Courses

Industry-relevant training in Business, Technology, and Design to help professionals and graduates upskill for real-world careers.

Games

Interactive Games

Fun, engaging games to boost memory, math fluency, typing speed, and English skills—perfect for learners of all ages.

Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

What does Fermat's Little Theorem state?

💡 Hint: Think of how powers relate to prime numbers.

Question 2

Easy

What is a prime number?

💡 Hint: Consider the smallest prime 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?

  • Prime Numbers
  • Even Numbers
  • Odd Numbers

💡 Hint: Understand the context of prime numbers.

Question 2

If p = 11 and a = 10, what is a^(p-1) mod p?

💡 Hint: Calculate using Fermat's theorem!

Solve 1 more question and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Using Fermat's theorem, prove that for any number a co-prime to p, a^(p-1) mod p indeed equals 1 through an example.

💡 Hint: Focus on the computation of powers in modulo.

Question 2

Explain the significance of Carmichael numbers in the context of Fermat's theorem.

💡 Hint: Reflect on how they relate to both Fermat's theorem and composite numbers.

Challenge and get performance evaluation