
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
Say an odd positive integer  $n > 1$  is  $\textit{twinning}$  if  $p - 2 \mid n$  for every prime  $p \mid n$ . Find the number of twinning integers less than 250.

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