# Who is wrong?

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 $$m.$$

×