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MathNet 2016-part-04 — 184 problems (EN–VI) Question 40

Math Olympiad Vault · MathNet 2016-part-04 — 184 problems (EN–VI)

Question 40

Show that every non-empty subset of the set
$$
Y = \{113! + 2, 113! + 3, \dots, 113! + 15\}
$$
has the sum of its elements a composite number.