Practice Characteristics Of Carmichael Numbers (12.4.2) - Introduction to Fermat’s Little Theorem and Primality Testing

Practice: Characteristics of Carmichael Numbers

Lesson 12.4.2Introduction to Fermat’s Little Theorem and Primality Testing

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9 questions

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Exercise
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6 sample questions

Question 1.
What is a Carmichael number?
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Recall the definition we covered.
Question 2.
Give an example of a Carmichael number.
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Think of the examples discussed in class.
3Question 3.
What is a Carmichael number?
- A prime number
- A composite number satisfying Fermat's theorem for all coprime bases
- A pseudo prime for certain bases
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Remember the defining characteristics we reviewed.
4Question 4.
True or False: All composite numbers are Carmichael numbers.
- True
- False
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Consider the special properties of Carmichael numbers.
Question 5.
Identify and verify if 1729 is a Carmichael number and discuss its properties.
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Check its prime factors: 7, 13, and 19, ensuring all conditions are satisfied.
Question 6.
Create an algorithm or step-by-step method that incorporates checks for Carmichael numbers in primality testing.
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Use the characteristics we discussed to create conditions.

5 more questions in this section. Enroll free to practise them all.