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Omni-MATH / Is it possible to choose 1983 distinct positive integers, all less than or equal to 10⁵, no three of which are consecutive terms of an arithmetic progression?

Problem

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problem

Is it possible to choose 19831983 distinct positive integers, all less than or equal to 10510^5, no three of which are consecutive terms of an arithmetic progression?
Plain-text mathematical notation (without MathML)
Is it possible to choose 1983 distinct positive integers, all less than or equal to 10⁵, no three of which are consecutive terms of an arithmetic progression?
Original LaTeX notation
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?

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Source and history

task_id
e4012387-5c74-5095-9234-19926de54540
task_key
test--e4012387-5c74-5095-9234-19926de54540
task_revision_id
1
config / split
/ test

Official source

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