I think most of the uncertainty in answering this question comes from the uncertainty around the actual hardness of the Riemann hypothesis. The difficulty of open mathematical questions seems hard to pinpoint and has an enormous range which is most likely relevant even on a scale of varying strong artificial intelligences. To focus more on the relation of GDP to model capabilities for solving “extremely hard but humanly possible to solve problems”, one could substitute the Riemann hypothesis with any Millenium problem. Then I think the answer is probably “not much more than today, maybe 2-8%” (Gemini tells me we’re at 1% now).
Any predictions for what percentage of world GDP AI will be when an AI solves the Riemann hypothesis? (If this happens)
The real part will be 1⁄2, not sure about the imaginary part.
I think most of the uncertainty in answering this question comes from the uncertainty around the actual hardness of the Riemann hypothesis. The difficulty of open mathematical questions seems hard to pinpoint and has an enormous range which is most likely relevant even on a scale of varying strong artificial intelligences. To focus more on the relation of GDP to model capabilities for solving “extremely hard but humanly possible to solve problems”, one could substitute the Riemann hypothesis with any Millenium problem. Then I think the answer is probably “not much more than today, maybe 2-8%” (Gemini tells me we’re at 1% now).