This person has found an actual solution:
https://mlzeng.com/an-interesting-equation.html
x = 36875131794129999827197811565225474825492979968971970996283137471637224634055579
y = 154476802108746166441951315019919837485664325669565431700026634898253202035277999
z = 4373612677928697257861252602371390152816537558161613618621437993378423467772036
This is apparently the smallest solution.
The derivation of the solution itself requires an understanding of Diophantine equations and elliptical curves, which I will not pretend to understand well enough to summarize.
From the same article, this is a solution when negative integers are allowed:
{{x -> 11, y -> 9, z -> -5}}
no, no I can’t
🍎=376556443707
🍌=50000000000
🍍=50000000000
Some discussion here
Ew please don’t link Reddit without warning.
The solutions don’t quite fancy me as positive whole values, see for yourself.
An integer solution does exist.
Removed by mod
