
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 $T_{n}=1+2+3+\cdots+n$, and $P_{n}=\frac{T_{2}}{T_{2}-1} \cdot \frac{T_{3}}{T_{3}-1} \cdot \frac{T_{4}}{T_{4}-1} \cdots \cdot \frac{T_{n}}{T_{n}-1}$, where $n=2,3,4, \cdots$, calculate the number closest to $P_{1991}$.

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