Practice Statement and Explanation - 12.2.1 | 12. Introduction to Fermat’s Little Theorem and Primality Testing | Discrete Mathematics - Vol 3
Students

Academic Programs

AI-powered learning for grades 8-12, aligned with major curricula

Professional

Professional Courses

Industry-relevant training in Business, Technology, and Design

Games

Interactive Games

Fun games to boost memory, math, typing, and English skills

Statement and Explanation

12.2.1 - Statement and Explanation

Enroll to start learning

You’ve not yet enrolled in this course. Please enroll for free to listen to audio lessons, classroom podcasts and take practice test.

Learning

Practice Questions

Test your understanding with targeted questions

Question 1 Easy

State Fermat's Little Theorem.

💡 Hint: It speaks about primes and their co-primes.

Question 2 Easy

What does it mean for two numbers to be co-prime?

💡 Hint: Think of common factors.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What is a requirement of Fermat's Little Theorem?

p must be odd
p must be prime
a must be even
a must be odd

💡 Hint: Look at the definition of primes.

Question 2

True or False? Carmichael numbers are prime numbers.

True
False

💡 Hint: Recall the definition of Carmichael numbers.

2 more questions available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Using Fermat's theorem, verify if 19 is prime by applying the theorem with bases 2, 3, and 4.

💡 Hint: Use Fermat's theorem conditions.

Challenge 2 Hard

Can you prove or disprove that 49 is composite using primality testing?

💡 Hint: Remember properties of non-primes.

Get performance evaluation

Reference links

Supplementary resources to enhance your learning experience.