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2^n+2^{n+3} is a perfect square

Source: 2021 Dürer Math Competition Finals Day2 E2 https://artofproblemsolving.com/community/c2749870_

January 8, 2022
number theoryPerfect Square

Problem Statement

Find the number of integers nn between 11 and 20212021 such that 2n+2n+32^n+2^{n+3} is a perfect square.
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