
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
Teacher Wang wrote several consecutive natural numbers starting from 1 on the blackboard: $1, 2, 3, 4, \cdots$. After that, three numbers (including two prime numbers) were erased. If the average of the remaining numbers is $19 \frac{8}{9}$, how many numbers in total did Teacher Wang write on the blackboard, and what is the maximum sum of the two prime numbers that were erased?

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