MathDB
2020 BAMO 8: E, BAMO 12: 3 Inserting Digits

Source:

February 27, 2020

Problem Statement

The integer 202020202020 is a multiple of 9191. For each positive integer nn, show how nn additional 22's may be inserted into the digits of 202020202020 such that the resulting (n+6)(n+6)-digit number is also a multiple of 9191.
For example, a possible way to do this when n=5n=5 is 22020220222 (the inserted 22's are underlined).
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