
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
Let the set \( P \) be defined as the set of natural numbers not less than 3. Define a function \( f \) on set \( P \) as follows: for \( n \in P \), \( f(n) \) represents the smallest natural number that is not a divisor of \( n \). It is known that the range of \( f(n) \) is the set \( M \). Determine the relationship between the numbers 19, 88 and the set \( M \).

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