
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 establish if a given integer, $n$, is prime, one effective method involves ensuring that no primes less than or equal to the square root of $n$ divide $n$. If you wish to verify that a number between 2500 and 2600 is prime using this method, what is the largest prime number you need to check?

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