
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
Find all positive integers  $n>1$  such that 
\[\tau(n)+\phi(n)=n+1\]
Which in this case,  $\tau(n)$  represents the amount of positive divisors of  $n$ , and  $\phi(n)$  represents the amount of positive integers which are less than  $n$  and relatively prime with  $n$ .

*Raja Oktovin, Pekanbaru*

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