
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
Consider the even integer 2024. Can 2024 be written as the sum of two prime numbers where at least one of the prime numbers is greater than 1000? If so, identify the pair of prime numbers that fit this description.

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