
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
You are given the task of checking if a number within the range of 800 to 850 is prime. Using the rule that it's sufficient to confirm none of the primes less than or equal to the square root of the number divide it, determine the largest prime divisor that needs to be tested.

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