
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
What is the largest integer that cannot be expressed as the sum of 100 not necessarily distinct composite numbers? (A composite number is one that can be expressed as the product of two integers greater than 1.)

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