x and y are two distinct positive integers such that:

(i) Their sum of cubes is a perfect square, and:
(ii) Their sum of fourth powers is a perfect cube.

Find the minimum value of x+y

867 = 289 + 578     {D'oh!  Edited to correct a typo and/or simple addition error, 289 + 578 is not 869}

Edited on February 3, 2022, 2:40 pm

Posted by Larry on 2022-02-02 08:32:58