
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
Identify a four-digit number $m$ which is the product of three distinct prime factors $x$, $y$, and $10x+y$. Moreover, introduce another prime factor $z$, such that $10z + x$ must also be a prime. Here $x$, $y$, and $z$ are distinct primes each less than 10. What is the maximum value of $m$ under these conditions?

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