Practice Prime Numbers and GCD - 8 | 8. Prime Numbers and GCD | Discrete Mathematics - Vol 3
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Prime Numbers and GCD

8 - Prime Numbers and GCD

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Learning

Practice Questions

Test your understanding with targeted questions

Question 1 Easy

What is the smallest prime number?

💡 Hint: Think about the smallest integer greater than one.

Question 2 Easy

How many prime numbers are there between 1 and 10?

💡 Hint: Count the prime numbers in that range.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What is the GCD of 24 and 36?

6
12
18

💡 Hint: Calculate the common divisors of the two numbers.

Question 2

True or False? The number 9 is a prime number.

True
False

💡 Hint: Recall the definition of prime numbers.

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Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Using the application of Euclid's algorithm, find the GCD of 215 and 995. Explain each step.

💡 Hint: Remember to keep finding the remainder until you reach 0.

Challenge 2 Hard

Construct a proof to outline why infinite primes exist, possibly using a method similar to Euclid’s.

💡 Hint: Focus on contradiction and prime factorization concepts.

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Reference links

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