
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
The numbers $1, 2, \ldots, 100$ are written on a board. In each step, all numbers that have no divisors among the remaining numbers, except for themselves, are simultaneously erased. For example, in the first step, only the number 1 is erased. Which numbers will be erased in the last step?

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