
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
What is the largest possible value of the expression   $$ gcd \,\,\, (n^2 + 3, (n + 1)^2 + 3 ) $$   for naturals  $n$ ?

<details><summary>Click to expand</summary>original wording]Kāda ir izteiksmes LKD (n2 + 3, (n + 1)2 + 3) lielākā iespējamā vērtība naturāliem n?</details>

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