
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
Define  $ f(n) = \dfrac{n^2 + n}{2} $ . Compute the number of positive integers  $ n $  such that  $ f(n) \leq 1000 $  and  $ f(n) $  is the product of two prime numbers.

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