1. The problem is to find the next 5-digit number after a given 5-digit number. 2. A 5-digit number ranges from 10000 to 99999. 3. To find the next 5-digit number, simply add 1 to the given number. 4. For example, if the given number is $n$, then the next number is $n + 1$. 5. If $n = 99999$, then the next number is not a 5-digit number but a 6-digit number (100000). 6. So, the next 5-digit number after $n$ is $n + 1$ if $n < 99999$. 7. If you provide a specific 5-digit number, I can calculate the next one for you.