Practice Running Time Of The Naive Algorithm (8.5)

Practise this section

9 questions

Flashcard drill
3 cards from this section. Quick, good the night before a test.
Exercise
6 questions · about 4 min · pass mark 70%. Hints available.
Sign up to start the exercise
Quiz
3 questions · about 2 min · pass mark 70%. Hints available.
Sign up to start the quiz

6 sample questions

Question 1.
What is a prime number?
Show hintHide hint
Think about what makes a number prime.
Question 2.
Up to what integer do we check divisibility to determine if a number is prime using the naive algorithm?
Show hintHide hint
This relates to the definition of composite numbers.
3Question 3.
What defines a prime number?
- A number greater than 1 with exactly two positive divisors.
- Any odd number.
- A numeral with no even divisors.
Show hintHide hint
Focus on the divisors of the number.
4Question 4.
The naive algorithm checks divisibility up to which number?
- The number itself
- Its square root
- Half of the number
Show hintHide hint
Visualization of divisors helps with this.
Question 5.
Create a comparison chart detailing time complexity and efficiencies between the naive algorithm and AKS.
Show hintHide hint
Consider using a graph as a visual for this comparison.
Question 6.
Explain how the inefficiency of the naive algorithm can impact cryptographic systems.
Show hintHide hint
Connect the practical application of primes in security systems.

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