The next number in the sequence is 19. This sequence consists of prime numbers, which are numbers greater than 1 that have no divisors other than 1 and themselves. To clarify, the prime numbers included in the sequence so far are:
- 2 – the only even prime number
- 3 – the first odd prime number
- 5 – follows 3
- 7 – the next prime after 5
- 11 – skips 9 and 10, as they are not prime
- 13 – follows 11
- 17 – the prime number after 13
After 17, the next integer to check for primality is 18, which is divisible by 2 (
2 x 9 = 18) and therefore not prime. The next integer, 19, has no divisors other than 1 and itself, confirming that it is a prime number. Hence, the continuation of the sequence with the next prime number would be:
2, 3, 5, 7, 11, 13, 17, 19