MathDB
19...96 divisible by 1997 (III Soros Olympiad 1996-97 R1 9.1)

Source:

May 29, 2024
number theory

Problem Statement

In the middle of the number 1996 (i.e. between 1919 and 9696) you need to insert several digits so that the resulting number is divisible by 19971997. In this case, you need to get by with the least number of inserted digits.