
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
Is it possible to select such digits $a, b, c$ such that the numbers $\overline{ab}$, $\overline{ba}$, $\overline{bc}$, $\overline{cb}$, $\overline{ca}$, $\overline{ac}$ are prime?

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