
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   $T  =  TNFTPP$ .  As   $n$   ranges  over  the  integers,  the  expression   $n^4  -  898n^2  +  T  -  2160$   evaluates  to just  one  prime  number.  Find  this  prime.

[b]Note: This is part of the Ultimate Problem, where each question depended on the previous question.  For those who wanted to try the problem separately, <details><summary>here's the value of T</summary>$T=2161$</details>.

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