Collatz conjecture Updated 2025-07-16
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.
Luxury goods Updated 2025-07-16
One of the things Ciro Santilli most deeply despises.
Real luxury is to understand quantum field theory and number theory.
Quantum advantage Updated 2025-07-16
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.