
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
Given that John picked a 5-digit even number $m$, he wrote down $523$ as a divisor of $m$, find the smallest possible value of the next divisor of $m$ to the right of $523$.

Present the answer in LaTex format: \boxed{Your answer}
user