
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
A curious archeologist presents a challenge to determine the age of an ancient pot. The age of the pot is formed from the digits 1, 1, 2, 2, 2, 3, and must begin with a digit that is part of a prime number sequence 211.

How many possible ages are there for the pot?

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