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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