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MathNet 2018-part-06 — 181 problems (EN–VI) Question 69

Math Olympiad Vault · MathNet 2018-part-06 — 181 problems (EN–VI)

Question 69

Two distinct positive integers are called *relatively consistent* if the larger one can be written as a sum of some distinct positive divisors of the other one. Show that there exist $2018$ positive integers such that any two of them are relatively consistent.