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subject with no multiples of 3

Source: Mathematics Regional Olympiad of Mexico Southeast 2015 P4

October 26, 2021
number theory

Problem Statement

Let A={1,2,4,5,7,8,}A=\{1,2,4,5,7,8,\dots\} the set with naturals not divisible by three. Find all values of nn such that exist 2n2n consecutive elements of AA which sum it´s 300300.