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4

Part of 1975 Vietnam National Olympiad

Problems(1)

all terms of the arithmetic progression $-1, 18, 37, 56, ...$ whose only digit

Source: Vietnamese MO (VMO) 1975 P4

8/20/2018
Find all terms of the arithmetic progression āˆ’1,18,37,56,...-1, 18, 37, 56, ... whose only digit is 55.
Arithmetic ProgressionDigitnumber theory