
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
Let \( n \geq 4 \) be an integer. \( A = \{a_1, a_2, \cdots, a_n\} \) is a set of integers such that \( 2023 \in A \) and the absolute difference between any two elements in \( A \) is a prime number. Determine the number of such sets \( A \).

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