
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]


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How many primes between  $2$  and  $2^{30}$  are  $1$  more than a multiple of  $2017$ ? If  $C$  is the correct answer and  $A$  is your answer, then your score will be rounded up from  $\max(0,25-15|\ln\tfrac{A}{C}|)$ .

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