Difference between revisions of "1983 IMO Problems/Problem 5"
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==Problem 5== | ==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 arithmetic progression? Justify your answer. | 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 arithmetic progression? Justify your answer. | ||
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Revision as of 16:30, 22 August 2017
Problem 5
Is it possible to choose 
distinct positive integers, all less than or equal to 
, no three of which are consecutive terms of an arithmetic progression? Justify your answer.
