
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
**M**ary has a sequence  $m_2,m_3,m_4,...$  , such that for each  $b \ge 2$ ,  $m_b$  is the least positive integer m for
which none of the base- $b$  logarithms  $log_b(m),log_b(m+1),...,log_b(m+2017)$  are integers. Find the largest number in her sequence.



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