
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
If you want to check that a number between 1000 and 1050 is prime using the rule that none of the primes less than or equal to the square root of the number divide it, what is the largest prime divisor you need to test?

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