
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
To apply the prime-checking rule, which requires testing divisibility by primes less than or equal to the square root of the number, determine the largest prime divisor needed to verify if any number between 1000 and 1050 is prime.

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