
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
Xiaoming formed a sequence using the digits 2, 0, 1, and 6 in that order: 2, 20, 201, 2016, 20162, 201620, 2016201, 20162016, 201620162, ..., adding these digits continuously at the end of the numbers. In this sequence, there are how many prime numbers?

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