
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
Consider the angles of a right triangle as \(a^\circ\), \(b^\circ\), and \(90^\circ\). If \(a\) and \(b\) are both unique prime numbers such that \(a > b+2\), what is the smallest possible value of \(b\)?
A) 2
B) 3
C) 5
D) 7
E) 11

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