Practice Corollary Of Fermat's Little Theorem (12.1.3) - Introduction to Fermat’s Little Theorem and Primality Testing

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6 sample questions

Question 1.
What does Fermat's Little Theorem state?
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Think about the relationship between primes and coprime integers.
Question 2.
Define Carmichael numbers.
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They trick primality tests!
3Question 3.
What does Fermat's Little Theorem establish?
- Prime relationship with multiplication
- Behavior of powers under modular arithmetic
- Divisibility rules
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Recall the theorem's specifics.
4Question 4.
Are Carmichael numbers prime numbers?
- True
- False
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Think about their characteristics.
Question 5.
Determine if 561 is prime using Fermat's theorem with b = 2.
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Use the properties of modular arithmetic.
Question 6.
Prove that for any prime p, it holds that (p-1)! ≡ -1 (mod p).
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Consider the properties of factorials and how they relate to primes.

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