
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
In a meeting of mathematicians, Carlos says to Frederico: "The double of the product of the two digits of the number of mathematicians in the meeting is exactly our quantity." What is the minimum number of mathematicians that must join us so that our total is a prime number? Help Frederico solve the problem.

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