
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
The prime numbers are added in order starting with $3$: $3$, $3 + 5$, $3 + 5 + 7$, and so on. How many of the first 15 such sums are also prime?

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