
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
For each positive integer \(n\), let \(f(n) = n^6 - 550n^3 + 324\). Determine the sum of all values of \(f(n)\) that are prime numbers.

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