
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
Petrov and Vasechkin were solving the same arithmetic problem. A certain number had to be divided by 2, multiplied by 7, and subtracted by 1001. Petrov performed all the operations correctly, but Vasechkin mixed up everything: he divided by 8, squared it, and also subtracted 1001. It is known that Petrov ended up with a prime number. What number did Vasechkin get?

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