What is the next prime number after 7?

The next prime number after 7 is 11 because a prime number is defined as a natural number greater than 1 that has no positive divisors other than 1 and itself. Starting from 8, we can evaluate the numbers sequentially.

• 8 is divisible by 1, 2, 4, and 8, so it is not prime.

• 9 is divisible by 1, 3, and 9, so it is also not prime.

• 10 is divisible by 1, 2, 5, and 10, which means it is not prime.

• However, when we reach 11, the only divisors are 1 and 11, confirming that it is prime.

Therefore, 11 is the next prime number following 7.