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 1st1^\text{st} student said, "The number is divisible by 2."
  • The 2nd2^\text{nd} student said, "The number is divisible by 3."
  • The 3rd3^\text{rd} student said, "The number is divisible by 4."
  • \quad \quad \vdots
  • The 30th30^\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 mthm^\text{th} and (m+1)th(m+1)^\text{th} students spoke wrongly, then enter m.m.

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