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(284) 4

Part of 1991 Tournament Of Towns

Problems(1)

TOT 284 1991 Spring O J4 123+102k

Source:

6/9/2024
The number 123123 is shown on the screen of a computer. Each minute the computer adds 102102 to the number on the screen. The computer expert Misha may change the order of digits in the number on the screen whenever he wishes. Can he ensure that no four-digit number ever appears on the screen?
(F.L. Nazarov, Leningrad)
number theoryDigits