
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
You are given a sequence of \( 50 \) terms; each term has the form \( Q+n \), where \( Q \) stands for the product \( 2 \times 3 \times 5 \times\ldots \times 53 \) of all prime numbers less than or equal to \( 53 \), and \( n \) takes, successively, the values \( 2, 3, 4, \ldots, 51 \). Let \( M \) be the number of primes appearing in this sequence. Then \( M \) is:

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