this post was submitted on 20 Jan 2025
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[โ€“] [email protected] 22 points 1 day ago (1 children)

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.

[โ€“] [email protected] 7 points 1 day ago* (last edited 1 day ago)

From the same article, this is a solution when negative integers are allowed:

{{x -> 11, y -> 9, z -> -5}}