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2016 TIMC keystage3-IWYMIC team Question 8

xIMC · 2016 TIMC keystage3-IWYMIC team

Question 8

What is the largest number of integers that may be selected from 1 to 2016 inclusive such that the least common multiple of any number of integers selected is also selected?

Submission guidance: Give a full solution, as required for this even-numbered problem by the examination cover.