
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
On the board, there are all natural numbers from 1 to 100: 1, 2, 3, 4, ..., 99, 100. Each student who enters the classroom circles the numbers that are not divisible by any of the other numbers listed, and then erases all the circled numbers (obviously, the first student to enter will only erase the number 1). When Carl erased some numbers, no numbers remained on the board. Which numbers did he erase?

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