The sequence you’ve given consists of prime numbers, which are numbers greater than 1 that have no divisors other than 1 and themselves. The prime numbers you’ve listed are:
- 11
- 13
- 17
- 19
To identify the next prime number, we need to look at the numbers that follow 19. The next consecutive integers are 20, 21, 22, and so on. Let’s evaluate them:
- 20 – This number is even, and since all even numbers greater than 2 are not prime, 20 is not a prime number.
- 21 – This number can be divided by 3 (21 = 3 × 7), so it is not prime.
- 22 – This number is also even (22 = 2 × 11), meaning it is not prime.
- 23 – The number 23 is greater than 1 and does not have any divisors other than 1 and 23 itself. Therefore, 23 is a prime number.
In summary, the next prime number following the sequence 11, 13, 17, 19 is 23.