MathDB
Problem 8

Source: 239-School Open Olympiad (Senior Level)

April 25, 2022
algebranumber theoryTrignometry

Problem Statement

Prove that there is positive integers NN such that the equation arctan(N)=∑i=12020aiarctan(i),arctan(N)=\sum_{i=1}^{2020} a_i arctan(i), does not hold for any integers ai.a_{i}.
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