
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
Let $n$ be the smallest nonprime integer greater than $1$ with no prime factors less than $20$. Among the choices, which range does $n$ fall into?
A) $n \leq 500$  
B) $500 < n \leq 550$  
C) $550 < n \leq 600$  
D) $600 < n \leq 650$  
E) $650 < n \leq 700$

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