1983 IMO Problems/Problem 5: Difference between revisions
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..." |
|||
| Line 1: | Line 1: | ||
==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. | ||
==Solution== | |||
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.
