
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
A point in the coordinate plane is called an integer point if both of its coordinates are integers. An integer point is called a prime point if both of its coordinates are prime numbers. A square, whose vertices are integer points, is called a prime square if every integer point on its boundary is a prime point. Find all prime squares.

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