{"data":{"id":"erdos-straus-1948","statement_oneline":"For every n > 1, 4/n is a sum of three unit fractions.","statement_full_latex":"For every integer $n > 1$ there exist positive integers $x, y, z$ with $\\tfrac{4}{n} = \\tfrac1x + \\tfrac1y + \\tfrac1z$ (Erdős-Straus).","source":{"title":"Erdős-Straus conjecture (1948)","arxiv":null,"url":"https://en.wikipedia.org/wiki/Erd%C5%91s%E2%80%93Straus_conjecture","year":1948,"area":"math.NT"},"renown":{"score":3,"rationale":"The best-known Egyptian-fraction conjecture.","scored_by":"founder"},"attackability":{"score":1,"rationale":"A counterexample is a single prime n (checkable by bounded search), but verification extends beyond 10^17 and density arguments make survivors implausible.","subscores":{"finite_witness":5,"oracle_cost":4,"freshness":0,"seedability":0},"scored_by":"founder"},"status":"open","last_verified_open":"2026-01-15","added":"2026-07-25","ranking_score":3,"verification_tier":null,"ai_systems":[],"posed_by":null,"years_open":null,"notability":null,"source_trackers":[],"resolution_type":null,"resolver":null,"resolution_date":null,"evidence_url":null,"evidence_note":null,"method_note":null,"effective_status":"open","claims":[],"status_events":[{"id":"seed-erdos-straus-1948","conjecture_id":"erdos-straus-1948","status":"open","date":"2026-07-25T00:00:00.000Z","actor":"human-admin","rationale":"Loaded from unified seed data.","note":"Loaded from unified seed data."}],"public_actions":[{"name":"claim","method":"POST","href":"/c/erdos-straus-1948/claim","verification":"email magic link"},{"name":"report_resolution","method":"POST","href":"/c/erdos-straus-1948/resolve","verification":"admin review"}],"resolutions":[]},"notice":"Status is community- and machine-tracked and may lag. Verify independently before investing effort."}