MathDB

N4

Part of 2021 Balkan MO Shortlist

Problems(1)

BMO Shortlist 2021 N4

Source: BMO Shortlist 2021

5/8/2022
Can every positive rational number qq be written as a2021+b2023c2022+d2024,\frac{a^{2021} + b^{2023}}{c^{2022} + d^{2024}}, where a,b,c,da, b, c, d are all positive integers?
Proposed by Dominic Yeo, UK
Balkanshortlist2021number theory