
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

The natural numbers 22, 23, and 24 have the following property: the exponents of the prime factors in their factorization are all odd:

$$
22=2^{1} \cdot 11^{1} ; \quad 23=23^{1} ; \quad 24=2^{3} \cdot 3^{1}
$$

What is the largest number of consecutive natural numbers that can have this property? Explain the reasoning for your answer.

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