
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 positive number is called $n$-primable if it is divisible by $n$ and each of its digits is a prime number or forms a two-digit prime number with its adjacent digit if less than 18. How many 5-primable positive integers are there that are four digits or fewer, where the prime digits/numbers used are 2, 3, 5, 7, 11?

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