[guruparan18]

True. And there could be many more ridiculously simple problems with hard or no applications (at least for now) we may not be able to solve or progress at all. Math as we know and practice might still fall short. I, for one, be happy that simple to state but solved, Godel's Incompleteness theorem, about the imperfection of the tools, had set the things firmly on stone.

Solving them or progress? May be I don't care, but these little problem, simple ones does encourage one to start thinking about solving problems, they make math accessible to masses.