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A Perfect Square Problem

Source: IOQM 2020 Question 13 (3 Marks)

January 18, 2021
number theoryIOQMOlympiadOlympiads

Problem Statement

Find the sum of all positive integers nn for which ∣2n+5n−65∣\mid 2^n + 5^n - 65 \mid is a perfect square.
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