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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
What is a prime number?
💡 Hint: Think about what makes a number prime.
Question 2
Easy
Up to what integer do we check divisibility to determine if a number is prime using the naive algorithm?
💡 Hint: This relates to the definition of composite numbers.
Practice 4 more questions and get performance evaluation
Interactive Quizzes
Engage in quick quizzes to reinforce what you've learned and check your comprehension.
Question 1
What defines a prime number?
- A number greater than 1 with exactly two positive divisors.
- Any odd number.
- A numeral with no even divisors.
💡 Hint: Focus on the divisors of the number.
Question 2
The naive algorithm checks divisibility up to which number?
- The number itself
- Its square root
- Half of the number
💡 Hint: Visualization of divisors helps with this.
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Create a comparison chart detailing time complexity and efficiencies between the naive algorithm and AKS.
💡 Hint: Consider using a graph as a visual for this comparison.
Question 2
Explain how the inefficiency of the naive algorithm can impact cryptographic systems.
💡 Hint: Connect the practical application of primes in security systems.
Challenge and get performance evaluation