
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  $n\in \Bbb{N}, n \geq 4.$  Determine all sets  $ A = \{a_1, a_2, . . . , a_n\} \subset \Bbb{N}$  containing  $2015$  and having the property that  $ |a_i - a_j|$  is prime, for all distinct   $i, j\in \{1, 2, . . . , n\}.$ 

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