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

Source: Vietnamese MO (VMO) 1975 P4

August 20, 2018
Arithmetic ProgressionDigitnumber theory

Problem Statement

Find all terms of the arithmetic progression āˆ’1,18,37,56,...-1, 18, 37, 56, ... whose only digit is 55.
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