Practice Conclusion - 12.1.8 | 12. Introduction to Fermat’s Little Theorem and Primality Testing | Discrete Mathematics - Vol 3
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Conclusion

12.1.8 - Conclusion

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Learning

Practice Questions

Test your understanding with targeted questions

Question 1 Easy

State Fermat's Little Theorem.

💡 Hint: Think about the prime number and its co-primality with 'a'.

Question 2 Easy

What are Carmichael numbers?

💡 Hint: Recall the relationship between composites and primes.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What does Fermat's Little Theorem state?

It applies to even numbers only.
It applies to odd numbers only.
It applies to prime numbers.

💡 Hint: Remember the conditions around primes in mathematics.

Question 2

Is the number 561 prime?

True
False

💡 Hint: Recall the characteristics unique to prime versus composite numbers.

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Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Prove that 561 is a Carmichael number.

💡 Hint: No hint provided

Challenge 2 Hard

Apply Fermat's theorem to validate a large number, say 101 with base 5.

💡 Hint: Remember the methodology examining the base in our previous classes.

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