
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
From the collection of numbers \(1, 2, 3, 4, \dots, 1982\), some numbers need to be removed so that none of the remaining numbers can be expressed as the product of any two other numbers from the remaining set. What is the minimum number of numbers that need to be removed to achieve this, and how can it be done?

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