> Yeah but now, what?
"now, what?", what?
> What was learned from this?
That 42 is the sum of three cubes.
> Why did we look for a solution in the first place?
They did. I do not believe that you were involved.
> How is it important that a number can be a sum of three cubes?
People like things for their own sake. How is it important to have sex or drink a beer? Same thing. Also math has this uncanny tendency to turn out to be useful where you least expect it. Consider the primes. For a long time people might have asked the same question you are asking here, and yet now they are central in encryption and thus the digital finance market. Could not find a more capitalistic and materialistic use if you tried.