{"id":"0e778e0e-ac22-4cc0-91cb-6d8850cbdea5","arxiv_id":"2505.13991","paper_version":1,"verdict":"CONDITIONAL","confidence":"HIGH","novelty_score":2.0,"correctness_risk":"low","formal_verification":"none","parameter_count":0,"one_line_summary":"The number of exceptional coprime triples (a,b,c) with a+b=c≤N and rad(abc)<c^{1−ε} is at most O(N^{2/3}).","lead":"This note proves an elementary bound: among all coprime triples a+b=c up to N, only O(N^{2/3}) can have a small radical, so almost all triples satisfy a weak form of the abc conjecture. It is an exposition of a classical de Bruijn estimate and is aimed to motivate a stronger 2024 result by Browning, Lichtman, and Teräväinen.","discovery_kind":"review","skeptic_critique":null,"referee_report":null,"author_rebuttal":null,"desk_editor":null,"rs_alignment":null,"lean_confirmation":null,"pith_extraction":null,"created_at":"2026-08-07T15:43:30.571941+00:00","model_set":{"reader":"deepseek-v4-flash"},"falsifier":null,"supporting_citations":[],"review_version":1}