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12.2.2. Proof Overview
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- 1.
What does Fermat's Little Theorem state?
Hint
Think about how integers behave under prime moduli.
- 2.
Is 341 a Carmichael number?
Hint
Review the characteristics of Carmichael numbers.
- 3.
What does Fermat's Little Theorem relate to?
- Determining roots
- Arithmetic under primes
- Finding patterns
Hint
Focus on how it connects integers and primes.
- 4.
True or False: Carmichael numbers are always prime.
- True
- False
Hint
Think about the characteristics of these numbers.
- 5.
How many distinct integers a exist for a prime p such that a < p and GCD(a, p) = 1?
Hint
Consider the properties of prime numbers.
- 6.
If a number n is found to be a Carmichael number, what does this imply for any potential primality tests?
Hint
Review the definitions of pseudo primes in relation to Fermat's theorem.
Exercises
Total Questions
2
Estimated Time
4 min
Passing Score
70%
Instructions
- Read each question carefully
- You can use hints if you need help
- Complete all questions before submitting
4 more questions available
Enrol freeQuiz
Total Questions
2
Estimated Time
4 min
Passing Score
70%
Instructions
- Read each question carefully
- You can use hints if you need help
- Complete all questions before submitting
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Enrol freeChallenge Problems
Total Questions
2
Estimated Time
4 min
Passing Score
70%
Instructions
- Read each question carefully
- You can use hints if you need help
- Complete all questions before submitting