
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
Let $m$ be the largest integer that is the product of exactly three distinct prime numbers $a$, $b$, and $ab + 3$, where $a$ and $b$ are single-digit prime numbers and $ab + 3$ is also a prime number. What is the sum of the digits of $m$?
A) 12
B) 13
C) 15
D) 17
E) 18

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