# 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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+ | ==Solution== |

## Revision as of 17:30, 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.