
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
Initially, a natural number was displayed on the calculator screen. Each time, Tanya added to the current number \( n \) a natural number by which \( n \) was not divisible. For example, if the number on the screen was 10, Tanya could add 7 to get 17.

Tanya performed such an operation five times, and the number 100 appeared on the screen. What is the largest possible initial number for which this could happen?

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