Question

Given the sequence of numbers 2, 3, 5, 7, 11, 13, 17, 19, 23, _ _ _ _ _. What are the next two numbers?

• A. 29, 31
• B. 27, 31
• C. 29, 33
• D. 27, 33

Hint:

Always check if the series follows prime numbers.

Answer 1

The Correct Option is A

To determine the next two numbers in the sequence, let us first identify the given pattern in the sequence. The numbers provided are: 2, 3, 5, 7, 11, 13, 17, 19, 23.

This sequence consists of prime numbers. A prime number is a natural number greater than 1 that has no positive divisors other than 1 and itself.

1. The sequence begins with 2, which is the smallest prime number.
2. Each subsequent number in the sequence is the next prime number.

Let's identify the prime numbers immediately following the last number provided, 23.

• The number immediately after 23 is 24, but 24 is not a prime number as it is divisible by 2, 3, 4, 6, 8, and 12.
• The number 25 is also not a prime number as it is divisible by 5.
• The number 26 is not prime either since it is divisible by 2 and 13.
• The number 27 is not a prime number as it is divisible by 3 and 9.
• The number 28 is divisible by 2 and 14, so it is not a prime number.
• The number 29 is the next prime number after 23.
• The number 30 is not prime because it is divisible by 2, 3, 5, 6, 10, and 15.
• The number 31 is the next prime number after 29.

Therefore, the next two numbers in the sequence are 29 and 31.

Based on these calculations, the correct answer is: 29, 31.