
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
An integer  $n\ge2$  is called *resistant*, if it is coprime to the sum of all its divisors (including  $1$  and  $n$ ).
Determine the maximum number of consecutive resistant numbers.

For instance: 
*   $n=5$  has sum of divisors  $S=6$  and hence is resistant.
*   $n=6$  has sum of divisors  $S=12$  and hence is not resistant.
*   $n=8$  has sum of divisors  $S=15$  and hence is resistant.
*   $n=18$  has sum of divisors  $S=39$  and hence is not resistant.


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