{"id":"hexagon/2610.00531","pdf":"https://hexagonmath.org/pdf/2610.00531v1","url":"https://hexagonmath.org/abs/2610.00531v1","tags":["msc:11D25","msc:11D41","msc:11G30","msc:11Y50","Diophantine equations; Chabauty method;  Brauer--Manin obstruction"],"score":0,"title":"Long solutions to small equations","domain":"math.NT","origin":"ai-generated","source":"hexagon","authors":["Bogdan Grechuk","Eugene Go","Avraham Eisenberg"],"reviews":0,"subject":"math.NT","summary":"We give complete solutions of thirty-eight Diophantine equations left open in Grechuk's 2024 monograph: fifteen affine equations, five generalized Fermat equations, eight plane quartics, and ten further homogeneous equations. All proofs were generated by AI and require substantial computer algebra computations.","category":"research","comments":0,"disputed":false,"division":"math","mentions":0,"ai_models":["ChatGPT","Claude Opus","Magma"],"discussed":0,"published":"2026-10-26","reactions":{},"withdrawn":false,"authorship":"no-human-author-claimed","formalized":false,"human_understanding":"some"}