
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 prime number \( a \) is 10 less than a perfect square \( b \). What is the smallest value of \( a \)? (Note: A perfect square is a number that can be written as the square of an integer, for example, \( 4 = 2^2 \) and \( 9 = 3^2 \), so \( 4 \) and \( 9 \) are both perfect squares.)

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