What is the next prime number after 7?

A prime number is defined as a natural number greater than 1 that has no positive divisors other than 1 and itself. The number 7 is the largest prime number within its range, and the next sequential number to consider is 8, which is not prime since it can be divided evenly by 2 and 4.

Moving on to 9, it is also not a prime number as it can be divided evenly by 3. Similarly, 10 is not prime because it can be divided by 2 and 5.

Next, we evaluate 11. The number 11 cannot be divided evenly by any other number apart from 1 and 11, confirming it as prime. After 11, 12 is not sufficiently considered because it can be evenly divided by 2, 3, 4, and 6.

Thus, 11 is indeed the next prime number after 7, reinforcing the identification of prime numbers as being indivisible by any other numbers within their range.