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no arith. seq. of 41 terms in 1904-subset of [1992]

Source: Bulgaria 1992 P2

May 18, 2021
number theory

Problem Statement

Prove that there exists 19041904-element subset of the set {1,2,…,1992}\{1,2,\ldots,1992\}, which doesn’t contain an arithmetic progression consisting of 4141 terms. (Ivan Tonov)
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