Given stuff like arxiv.org/pdf/2107.12475.pdf on Erdős' conjecture on powers of 2, it feels like this one will be somewhere close to computer science/Halting problem issues than number theory. Who knows. This is suggested e.g. at The Busy Beaver Competition: a historical survey by Pascal Michel.
One of the things Ciro Santilli most deeply despises.
Real luxury is to understand quantum field theory and number theory.
Clothing/jewelry/car luxury is at worst a way to show off. And at best a replacement for nature/the countryside. People living in big cities have lost nature, and to some, looking at luxury goods (or watching television) serves as a (unsatisfactory) replacement.
Similar to quantum supremacy, but add the goal that the computation must be useful, i.e. make money or solve some open mathematical problem, Ciro Santilli's wife was quite excited about the possibility of finding some counter examples in number theory with quantum computers.