
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
Find the smallest composite number $n$ such that $n$ has no prime factors less than $20$. Then determine which range $n$ falls into among the following choices:
A) $500<n\leq510$
B) $510<n\leq520$
C) $520<n\leq530$
D) $530<n\leq540$
E) $540<n\leq550$

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