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MathNet 2016-part-07 — 182 problems (EN–VI) Question 170

Math Olympiad Vault · MathNet 2016-part-07 — 182 problems (EN–VI)

Question 170

A positive integer is written on each corner of a square such that numbers on opposite vertices are relatively prime while numbers on adjacent vertices are not relatively prime. What is the smallest possible value of the sum of these 4 numbers?

Proposed by: Eshaan Nichani