Looking for 5002

Looking for 5002

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Today at school, someone has drawn on the board a cartoon of the math teacher, and against all odds, I have not done anything funny. As the culprit has not confessed, he has punished us all without leaving until we solve the following problem:

In the following sequence of numbers: 12345678910111213….

In which position will 5002 appear for the first time?


The position in which it appears is between 2500 and 2501… 249925002501…

And the digits, if I'm not mistaken, are 8,891. I'm going home!