Find the Number After 35,001: Next Integer Challenge

To solve this problem, we'll follow these steps:

• Identify the given number.
• Calculate the successor by adding 1 to the given number.

Now, let's work through each step:
Step 1: The given number is 35,001.
Step 2: To find the successor of 35,001, we add 1:
$35,001 + 1 = 35,002$

Therefore, the solution to the problem is $35,002$.