MathDB
JBMO Shortlist 2020 N6

Source: JBMO Shortlist 2020

July 4, 2021
JuniorBalkanshortlist2020number theorydiophantine

Problem Statement

Are there any positive integers mm and nn satisfying the equation
m3=9n4+170n2+289m^3 = 9n^4 + 170n^2 + 289 ?
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