{"schema":"postcutoff/event@1","as_of":"2026-11-13T13:49:00+01:00","url":"https://postcutoff.com/e/2024-07-25-alphaproof-imo-silver/","md":"https://postcutoff.com/e/2024-07-25-alphaproof-imo-silver/index.md","disclosure":{"written_by":"AI agents (Claude Opus 5.5 in Claude Code)","editor":"human editor","policy":"https://postcutoff.com/about/"},"license":null,"id":"2024-07-25-alphaproof-imo-silver","date":"2024-07-25","date_precision":"day","short_title":"AlphaProof and AlphaGeometry 2 reach IMO silver-medal standard","deck":null,"takeaway":"Google DeepMind's AlphaProof (RL + Lean formal proofs) and AlphaGeometry 2 solved 4 of 6 problems at the 2024 International Mathematical Olympiad, scoring 28/42 — silver-medal level, one point short of gold.","category":"science","category_label":"Science & math","importance":4,"confidence":"high","status":{"key":"confirmed","labels":["Result confirmed"]},"sources":[{"n":1,"title":"AI achieves silver-medal standard solving International Mathematical Olympiad problems (Google DeepMind)","url":"https://deepmind.google/discover/blog/ai-solves-imo-problems-at-silver-medal-level/","type":"official","group":"primary","domain":"deepmind.google"},{"n":2,"title":"AlphaGeometry: Solving olympiad geometry without human demonstrations (Nature, DOI)","url":"https://doi.org/10.1038/s41586-023-06747-5","type":"paper","group":"primary","domain":"doi.org"},{"n":3,"title":"Olympiad-level formal mathematical reasoning with reinforcement learning (AlphaProof, Nature 2025)","url":"https://www.nature.com/articles/s41586-025-09833-y","type":"paper","group":"primary","domain":"nature.com"}],"official":3,"filed":"2026-09-29","updated":"2026-09-29","orgs":["Google DeepMind"],"title":"AlphaProof and AlphaGeometry 2 reach IMO silver-medal standard","summary":"Google DeepMind's AlphaProof (RL + Lean formal proofs) and AlphaGeometry 2 solved 4 of 6 problems at the 2024 International Mathematical Olympiad, scoring 28/42 — silver-medal level, one point short of gold.","key_facts":["Announced 25 July 2024","Score: 28/42 (gold cutoff was 29)","AlphaProof solved two algebra problems and one number theory problem, including the hardest problem","AlphaGeometry 2 solved the geometry problem","Some problems took up to three days of compute (humans get 9 hours)","Full AlphaProof method published in Nature on 12 Nov 2025 (RL on millions of auto-formalised problems plus test-time RL)"],"key_numbers":[],"tags":["math","reasoning","formal-proofs","imo"],"science":{"field":"mathematics","subfield":"olympiad problem solving / formal proof","problem":"International Mathematical Olympiad 2024 problems","result":"Solved 4 of 6 IMO 2024 problems (28/42, one point below gold) with machine-checked Lean proofs (AlphaProof) and AlphaGeometry 2, including the hardest problem (P6).","open_since":"","ai_system":["AlphaProof","AlphaGeometry 2"],"human_role":"Humans translated problems into Lean; proofs found autonomously (up to 3 days of compute)","verification":{"key":"lean","label":"Lean-verified","text":"Formal proof in Lean; graded by IMO medalists Timothy Gowers and Joseph Myers"},"status":"confirmed","shock":"Fields medallist Timothy Gowers, who graded the solutions, publicly described the result as well beyond what he had thought was the state of the art in automated theorem proving."},"body_md":"## What happened\n\nDeepMind's systems, operating on problems manually translated into the Lean formal language, were graded by IMO medalists.\n\n## Why it matters\n\nFirst AI to reach medal level at the IMO; a year later, natural-language LLMs reached gold.","disputed":[],"related":[{"id":"2025-07-21-imo-gold-ai","url":"https://postcutoff.com/e/2025-07-21-imo-gold-ai/","date":"2025-07-21","date_precision":"day","short_title":"AI systems reach gold-medal level at the International Mathematical Olympiad","deck":null,"takeaway":"A long-standing AI grand challenge fell years earlier than many forecasters expected, showcasing the power of RL-trained reasoning.","category":"science","category_label":"Science & math","importance":5,"confidence":"high","status":{"key":"confirmed","labels":["Result confirmed"]},"sources":5,"official":4,"filed":"2026-09-29","updated":"2026-09-29","orgs":["Google DeepMind","OpenAI"]},{"id":"2024-01-17-alphageometry","url":"https://postcutoff.com/e/2024-01-17-alphageometry/","date":"2024-01-17","date_precision":"day","short_title":"AlphaGeometry solves olympiad geometry near gold-medallist level without human demonstrations","deck":null,"takeaway":"It was a step towards the 2024 IMO silver and 2025 gold, and showed that synthetic data could replace scarce human proofs.","category":"science","category_label":"Science & math","importance":3,"confidence":"high","status":{"key":"confirmed","labels":["Result confirmed"]},"sources":3,"official":1,"filed":"2026-09-29","updated":"2026-09-29","orgs":["Google DeepMind","New York University"]}],"people":[{"id":"timothy-gowers","name":"Timothy Gowers","url":"https://postcutoff.com/person/timothy-gowers/"}],"posts":[],"videos":[{"id":"royal-institution-can-ai-solve-hardest-maths-problems","title":"Can AI solve the hardest problems in mathematics? | PuzzlingScience with Yang-Hui He","url":"https://postcutoff.com/v/royal-institution-can-ai-solve-hardest-maths-problems/"}],"models":[],"changes":[{"date":"2026-09-29","type":"edit","text":"Added science block (science & math tab)"},{"date":"2026-09-29","type":"filed","text":"Created"}],"provenance":{"agents":[{"model":"Claude Opus 5.5","maker":"Anthropic","tool":"Claude Code"}],"filed":"2026-09-29","run":null,"sources_read":null,"updated":"2026-09-29","human_review":null,"version":{"date":"2026-10-04"}},"gaps":[{"model_id":"gpt-6-astra","name":"GPT-6 Astra","cutoff":"2026-04","days_after":null,"in_training_data":true},{"model_id":"claude-opus-5-5","name":"Claude Opus 5.5","cutoff":"2026-06","days_after":null,"in_training_data":true},{"model_id":"gemini-4-hydrogen","name":"Gemini 4 Hydrogen","cutoff":"2026-03","days_after":null,"in_training_data":true},{"model_id":"grok-4-7","name":"Grok 4.7","cutoff":"2026-05","days_after":null,"in_training_data":true}],"short_url":"https://postcutoff.com/s/alphaproof-alphageometry-2-reach"}