
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 year "2021" possesses the following property: $2021 = 43 \times 47$, meaning it can be expressed as the product of two distinct prime numbers less than 100. We call such a number a "bull number." In the set $M = \{1, 2, \cdots, 2021\}$ consisting of the first 2021 positive integers, how many bull numbers are there?

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