What is the next prime number after 29?

To determine the next prime number after 29, it’s essential to understand what a prime number is: a natural number greater than 1 that has no positive divisors other than 1 and itself.

Starting with 30, it can be divided by 1, 2, 3, 5, 6, 10, 15, and 30, which means it is not a prime number. The same applies to 32 as it can be divided by 1, 2, 4, 8, and 16. Lastly, 33 can be divided by 1, 3, 11, and 33, also indicating that it is not prime.

On the contrary, 31 can only be divided by 1 and 31 without a remainder, making it a prime number. Therefore, the next prime number after 29 is indeed 31.