
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
If the difference between two prime numbers is exactly 2, these two prime numbers are called twin primes. For example, 3 and 5 are a pair of twin primes, and 29 and 31 are also a pair of twin primes. Among the integers not exceeding 100, a total of 8 pairs of twin primes can be found.

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