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

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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.

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Interactive Quizzes

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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.

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Challenge Problems

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Question 1

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.

Question 2

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

💡 Hint: Remember properties of non-primes.

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