
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
Remove some numbers from the set $\{1, 2, \cdots, 1982\}$ such that no remaining number is the product of any two other remaining numbers. What is the minimum number of numbers that must be removed to achieve this?

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