
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 every positive integer $n \geq 2$, define $s(n)$ to be the sum of the *unique* prime factors of $n$. For example, $s(18) = 5$ because the prime factorization of $18$ is $2 \times 3^2$ and $2 + 3 = 5$. What is the range of the function $s$, $\{s(n): n \geq 2\}$?
A) the set of positive integers
B) the set of all prime numbers
C) the set of positive integers greater than or equal to 2
D) the set of positive integers greater than or equal to 1

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