2018 pos. integers with sum of squares a cube & sum of cubes a square
Source: Rioplatense Olympiad 2018 level 3 p1
December 11, 2018
sum of cubesPerfect Squareperfect cubenumber theorySum of Squares
Problem Statement
Determine if there are different positive integers such that the sum of their squares is a perfect cube and the sum of their cubes is a perfect square.