I do not really see how Wiles methods or results could help solving Goldbach's conjecture
what if you could find a way to represent for n>1: 2n = p1 + p2^r where p1 and p2 are prime and r is a natural number and then show there exists m as an integer such that p1^r + p2^r = m^r. By fermat's last theorem r <= 2 and then show (p1,p2,m) are not a Pythagorean triple thus r =1 implying 2n = p1 + p2 for all n>1.
Tao and Chen's work allow for representing 2n in terms of the sum of a prime and a prime to an unknown power and wile's work allows for someone to discover that magic m which is an integer (all inspired by the Hardy-Littlewood Circle Method and semistable elliptic curves). The triple component should be trivial. That's the best corpus I can provide in this format. The devil is in actually demonstrating these things to be true which requires a mastery of concepts that are beyond my abilities at the moment.
Did you participate in the Quixote project coding too? I know bytemaster is a skilled c++ developer, but I was wondering to know if you just designed the idea and algorithms, or also participated in coding process Smiley
Most of the code I've worked on falls into two categories: data analysis with python and R alongside a CAS like Sage and functional programming for FHE research using Haskell. I'm familiar with some web development concepts with JS, PHP and bots for scraping and also I've done a lot of work with neural networks, but I'm not a C++ developer.
Dan is an expert with modern C++ at the Bjarne Stroustrup level and also has become very skilled at developing p2p systems over the past few years. Outside of helping with the cryptanalysis and vetting the logic of ideas, I can't be much help in writing the core software of Keyhotee and the BitShares protocol.
This said, we are an open source company and I've been investing a lot of time into getting more developers and professionals to come help us make this a reality. We are not dealing with easy problems and we can't possibly have all the solutions. Instead we are aiming for getting a foundation of innovation, iteration and collaboration setup to eventually grow to a solution that works for everyone.
Here is my biggest problem in this project:
I'd have 15 devs if we were doing this in python.