"...The problems that are of interest are those whose solutions might contain concepts or truths that can be relevant to other fields of math...."
That's what I expected, and what I was getting at with my attempt at recognizing that, in mathematics, the process of solving a problem can be even more valuable than the solution.
"...prime numbers, which are equally a human construction..."
Are they? I thought they were a basic element or fact of nature, that we just found an easy way to represent mathematically...? Like E=MC2... it is just a mathematical expression of a physical property.
The Wolfram problem expressed in the article seems completely divorced from any practical, real world property. It's like he dropped six dice on a table, arranged them in some perceived order, and then made up some questions to ask about that order: Does it repeat? Is it infinite? What happens when you run the calculation a billion times?
I'm mostly just marveling at how other people's brains work... not looking for an "answer", per se, just enjoying the window into other thought processes...