
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 archaeologist holds a challenge to guess the age of an ancient coin. The clues specify that the age of the coin is formed using the six digits 3, 3, 3, 5, 1, and 8, and the age of the coin must begin with a prime digit.

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