
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
There are six children in a family. Five of them are older than the youngest by 2, 6, 8, 12, and 14 years respectively. How old is the youngest if the ages of all children are prime numbers?

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