Question

which shows a list of the first six prime numbers?

1, 3, 5, 7, 9, 11
1, 2, 3, 5, 7, 9
2, 3, 5, 7, 9, 11
2, 3, 5, 7, 11, 13

Explanation:

Define prime numbers

A prime number is a whole number greater than 1 whose only divisors are 1 and itself.

Evaluate the first few integers

• 1 is not prime (by definition).
• 2 is prime (divisors: 1, 2).
• 3 is prime (divisors: 1, 3).
• 4 is composite (\(2 \times 2\)).
• 5 is prime (divisors: 1, 5).
• 6 is composite (\(2 \times 3\)).
• 7 is prime (divisors: 1, 7).
• 8 is composite (\(2 \times 4\)).
• 9 is composite (\(3 \times 3\)).
• 10 is composite (\(2 \times 5\)).
• 11 is prime (divisors: 1, 11).
• 12 is composite (\(2 \times 6\)).
• 13 is prime (divisors: 1, 13).

List the first six prime numbers

$$ 2, 3, 5, 7, 11, 13 $$

Answer:

• (A) 1, 3, 5, 7, 9, 11
• (B) 1, 2, 3, 5, 7, 9
• (C) 2, 3, 5, 7, 9, 11
• (D) 2, 3, 5, 7, 11, 13 (Correct answer)