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Representing positive integers in a certain form

Source: Russian TST 2021, Day 4 P1

March 21, 2023
number theoryrepresentation

Problem Statement

Do there exist infinitely many positive integers not expressible in the form (a+b)+log⁡2(b+c)−2c+a,(a+b)+\log_2(b+c)-2^{c+a},where a,b,ca,b,c are positive integers?
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