3.9. Set of Prime Numbers

Try these first

1. 1.

   What is a prime number?

   Hint

   Remember the definition we discussed.

2. 2.

   List the first four prime numbers.

   Hint

   Start from the smallest and check divisibility.

3. 3.

   What defines a prime number?

   • Divisible by 1
   • Divisible by itself and 1
   • Has two or more divisors

   Hint

   Recall our discussion about prime numbers.

4. 4.

   True or False: The number 4 is prime.

   • True
   • False

   Hint

   Think about the factors of 4.

5. 5.

   Is the number 1 prime or composite? Justify your answer.

   Hint

   Reflect on the minimal definition of prime.

6. 6.

   Construct a function that shows the mapping between the first ten prime numbers and their corresponding indices.

   Hint

   Think of how you'd list out prime numbers and their positions.