A teacher wrote a number on the board and asked the students to tell about the divisors of the number one by one.

- The $1^\text{st}$ student said, "The number is divisible by 2."
- The $2^\text{nd}$ student said, "The number is divisible by 3."
- The $3^\text{rd}$ student said, "The number is divisible by 4."
- $\quad \quad \vdots$
- The $30^\text{th}$ student said, "The number is divisible by 31."

The teacher then said that exactly two consecutive students were incorrect.

**Which two students were incorrect?**

If the $m^\text{th}$ and $(m+1)^\text{th}$ students spoke wrongly, then enter $m.$

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