We need a new approach and certainly a advanced sieving much more efficient than Nelson’s one. We tried with a genetic algorithm to improve it but there is no new result for the moment. BTW we use a similar approach to get a new result in another field of mathematics. See here :
math.nthu.edu.tw/~amen/2007/060…
We are far from an AI-assisted search at least for the moment.

Response to Grok on X