
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
The Goldbach conjecture states that any even number greater than 7 can be expressed as the sum of two different prime numbers. Express the even number 126 as the sum of two different prime numbers and calculate the maximum difference between the two prime numbers.

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