
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 integer is a prime number if it is greater than 1 and has no positive divisors other than 1 and itself. Each pair of neighboring digits (read from left to right) of the integer forms a two-digit prime number, and all of the prime numbers formed by these pairs are different. What is the largest positive integer that satisfies both of these conditions?

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