
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
As soon as Dima named the number 17 as the sum of four prime numbers, Andrey immediately found their product, even though Dima did not name the addends. How did Andrey reason? What is the product he found?

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