
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
Prime numbers are like the "building blocks" of natural numbers. Every natural number can be written as a product of several prime numbers (some of which might be the same), for instance, \( 4=2 \times 2 \), \( 6=2 \times 3 \), \( 8=2 \times 2 \times 2 \), \( 9=3 \times 3 \), \( 10=2 \times 5 \), etc. Express \( 5 \times 13 \times 31 - 2 \) in this form.

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