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1983 IMO Problems/Problem 5

Revision as of 16:29, 22 August 2017 by Neep (talk | contribs) (Created page with "==Problem 5== Is it possible to choose <math>1983</math> distinct positive integers, all less than or equal to <math>10^5</math>, no three of which are consecutive terms of an...")
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Problem 5

Is it possible to choose $1983$ distinct positive integers, all less than or equal to $10^5$, no three of which are consecutive terms of an arithmetic progression? Justify your answer.

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