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How many cases did you check?

Source: 2023 ISL N2

July 17, 2024
number theoryIMO ShortlistAZE IMO TSTTST

Problem Statement

Determine all ordered pairs (a,p)(a,p) of positive integers, with pp prime, such that pa+a4p^a+a^4 is a perfect square.
Proposed by Tahjib Hossain Khan, Bangladesh
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