AI × SCIENCE · 未解決問題トラッカー

未知、証明終わり。

Where AI turns unknowns into Q.E.D.

AI が解いた科学の問題をひとつ残らず追跡します。各記録には結果の格付け、検証の方法、元の出典を明記し、誰でも注釈や異議を書き込めます。

格付け基準

完全解AI が単独で、または主導して、完全かつ新しい解を与えた。
部分的結果評価の改良、新しい構成、特殊な場合の解決。元の問題は未解決のまま。
既知文献AI が示した「新しい解」は既存の文献にすでにあった。
未検証公に主張されているが、まだ独立に検証されていない。

問題一覧

新しい順 · 262 件中 119 件
  1. 2026-04-04数学 · Graph theory
    Erdős Problem #629Partial progress by Gemini 3.1 Pro and GPT-5.4 Thinking (4 Apr 2026): partial result.Gemini 3.1 Pro and GPT-5.4 Thinking✓ Listed in Tao's wiki注釈 0 件
    部分的結果
  2. 2026-04-04数学 · Additive combinatorics
    Erdős Problem #749Partial progress by Aron Bhalla with GPT-5.4 Thinking (4 Apr 2026): partial result; 🟡 Solution to variant problem.Aron Bhalla with GPT-5.4 Thinking✓ Listed in Tao's wiki注釈 0 件
    部分的結果
  3. 2026-03-31数学 · Number theory
    Erdős Problem #374Partial progress by Terence Tao with GPT-5.4 Pro (31 Mar 2026): partial result.Terence Tao with GPT-5.4 Pro✓ Listed in Tao's wiki注釈 0 件
    部分的結果
  4. 2026-03-24数学 · Analysis
    Erdős Problem #1132Partial progress by Terence Tao with AlphaEvolve, Claude, Gemini Pro and GPT-5.4 Pro (24 Mar 2026): partial result.Terence Tao with AlphaEvolve, Claude, Gemini Pro and GPT-5.4 Pro✓ Listed in Tao's wiki注釈 0 件
    部分的結果
  5. 2026-03-23数学 · Number theory
    Erdős Problem #342Partial progress by Przemek Chojecki with GPT-5.2 Pro and GPT-5.4 Pro (23 Mar 2026): partial result.Przemek Chojecki with GPT-5.2 Pro and GPT-5.4 Pro✓ Listed in Tao's wiki注釈 0 件
    部分的結果
  6. 2026-03-19数学 · Number theory
    Erdős Problem #25Partial progress by Przemek Chojecki with GPT-5.4 Pro (19 Mar 2026): partial result.Przemek Chojecki with GPT-5.4 Pro✓ Listed in Tao's wiki注釈 0 件
    部分的結果
  7. 2026-03-18数学 · Combinatorics
    Erdős Problem #1183Partial progress by Przemek Chojecki and Quanyu Tang with GPT-5.4 Pro (18 Mar 2026): partial result.Przemek Chojecki and Quanyu Tang with GPT-5.4 Pro✓ Listed in Tao's wiki注釈 0 件
    部分的結果
  8. 2026-03-18数学 · Number theory
    Erdős Problem #943Partial progress by Przemek Chojecki with GPT-5.4 Pro (18 Mar 2026): partial result.Przemek Chojecki with GPT-5.4 Pro✓ Listed in Tao's wiki注釈 0 件
    部分的結果
  9. 2026-03-15数学 · Number theory
    Erdős Problem #396Partial progress by Malek Zribi with Claude, Codex and GPT (15 Mar 2026): partial result. 2 AI contributions are recorded in all.Malek Zribi with Claude, Codex and GPT✓ Listed in Tao's wiki注釈 0 件
    部分的結果
  10. 2026-03-14数学 · Combinatorics
    Erdős Problem #120Partial progress by DeepMind prover agent (14 Mar 2026): solution to variant problem (Lean).DeepMind prover agent✓ Lean formalization · Listed in Tao's wiki注釈 0 件
    部分的結果
  11. 2026-03-11数学 · Number theory
    Erdős Problem #423Partial progress by Quanyu Tang and Nat Sothanaphan with GPT-5.2 Thinking and GPT-5.4 Thinking (11 Mar 2026): partial result.Quanyu Tang and Nat Sothanaphan with GPT-5.2 Thinking and GPT-5.4 Thinking✓ Listed in Tao's wiki注釈 0 件
    部分的結果
  12. 2026-03-09数学 · Number theory
    Erdős Problem #349Partial progress by GPT-5.2 Thinking (9 Mar 2026): improved partial result.GPT-5.2 Thinking✓ Listed in Tao's wiki注釈 0 件
    部分的結果
  13. 2026-03-06数学 · Analysis
    Erdős Problem #1039Partial progress by Houi with Aristotle and Claude Opus 4.6 (6 Mar 2026): partial result (Lean). 2 AI contributions are recorded in all.Houi with Aristotle and Claude Opus 4.6✓ Lean formalization · Listed in Tao's wiki注釈 0 件
    部分的結果
  14. 2026-03-01数学 · Analysis
    Erdős Problem #513Partial progress by GPT-5.2 Thinking (1 Mar 2026): slight improvement to past construction.GPT-5.2 Thinking✓ Listed in Tao's wiki注釈 0 件
    部分的結果
  15. 2026-02-27数学 · Geometry
    Erdős Problem #1090Partial progress by Aristotle and Gemini 3 Flash (27 Feb 2026): proof found (Lean).Aristotle and Gemini 3 Flash✓ Lean formalization · Listed in Tao's wiki注釈 0 件
    部分的結果
  16. 2026-02-21数学 · Geometry
    Erdős Problem #846Partial progress by DeepMind prover agent; OpenAI internal model (independently) (21 Feb 2026): full solution (Lean); 🟢 Full solution.DeepMind prover agent; OpenAI internal model (independently)✓ Lean formalization · Listed in Tao's wiki注釈 0 件
    部分的結果
  17. 2026-02-16数学 · Number theory
    Erdős Problem #872Partial progress by GPT-5.2 Pro (16 Feb 2026): partial result. 3 AI contributions are recorded in all.GPT-5.2 Pro✓ Listed in Tao's wiki注釈 0 件
    部分的結果
  18. 2026-02-14数学 · Geometry
    Erdős Problem #1082Partial progress by DeepMind prover agent (14 Feb 2026): counterexample to one part (Lean).DeepMind prover agent✓ Lean formalization · Listed in Tao's wiki注釈 0 件
    部分的結果
  19. 2026-02-11数学 · Combinatorics
    Erdős Problem #776Partial progress by Yixin He and Quanyu Tang with GPT-5.2 Thinking (11 Feb 2026): partial result.Yixin He and Quanyu Tang with GPT-5.2 Thinking✓ Listed in Tao's wiki注釈 0 件
    部分的結果
  20. 2026-02-05数学 · Number theory
    Erdős Problem #851Partial progress by GPT-5.2 Pro (5 Feb 2026): full solution (building upon 🟡 Romanoff (1934)).GPT-5.2 Pro✓ Listed in Tao's wiki注釈 0 件
    部分的結果
  21. 2026-02-01数学 · Analysis
    Erdős Problem #1040Partial progress by Aletheia (1 Feb 2026): solution to one part of problem; 🔴 incorrect solution to other part.Aletheia✓ Listed in Tao's wiki注釈 0 件
    部分的結果
  22. 2026-02-01数学 · Geometry
    Erdős Problem #1089Partial progress by Aletheia (1 Feb 2026): full solution found.Aletheia✓ Listed in Tao's wiki注釈 0 件
    部分的結果
  23. 2026-02-01数学 · Geometry
    Erdős Problem #654Partial progress by Aletheia (1 Feb 2026): partial result.Aletheia✓ Listed in Tao's wiki注釈 0 件
    部分的結果
  24. 2026-02-01数学 · Graph theory
    Erdős Problem #75Partial progress by Aletheia (1 Feb 2026): solution to variant problem (implicit in literature). 2 AI contributions are recorded in all.Aletheia✓ Listed in Tao's wiki注釈 0 件
    部分的結果
  25. 2026-02-01数学 · Number theory
    Erdős Problem #935Partial progress by Aletheia (1 Feb 2026): solution to one part of problem.Aletheia✓ Listed in Tao's wiki注釈 0 件
    部分的結果
  26. 2026-01-30数学 · Analysis
    Erdős Problem #524Partial progress by Gemini, GPT-5.2 and Grok (30 Jan 2026): improved partial result. 2 AI contributions are recorded in all.Gemini, GPT-5.2 and Grok✓ Listed in Tao's wiki注釈 0 件
    部分的結果
  27. 2026-01-30数学 · Number theory
    Erdős Problem #635Partial progress by Aristotle and GPT-5.2 Pro (30 Jan 2026): solution to one part of problem (Lean).Aristotle and GPT-5.2 Pro✓ Lean formalization · Listed in Tao's wiki注釈 0 件
    部分的結果
  28. 2026-01-28数学 · Analysis
    Erdős Problem #1048Partial progress by Aristotle (28 Jan 2026): proof found (Lean), which is a specific case of Pommerenke.Aristotle✓ Lean formalization · Listed in Tao's wiki注釈 0 件
    部分的結果
  29. 2026-01-28数学 · Number theory
    Erdős Problem #218Partial progress by GPT (28 Jan 2026): conditional solution.GPT✓ Listed in Tao's wiki注釈 0 件
    部分的結果
  30. 2026-01-27数学 · Number theory
    Erdős Problem #951Partial progress by GPT-5.2 Pro (27 Jan 2026): solution to variant problem. 3 AI contributions are recorded in all.GPT-5.2 Pro✓ Listed in Tao's wiki注釈 0 件
    部分的結果
  31. 2026-01-23数学 · Number theory
    Erdős Problem #783Partial progress by GPT-5.2 (23 Jan 2026): partial result.GPT-5.2✓ Listed in Tao's wiki注釈 0 件
    部分的結果
  32. 2026-01-20数学 · Additive combinatorics
    Erdős Problem #788Partial progress by GPT-5.2 Pro (20 Jan 2026): new partial result.GPT-5.2 Pro✓ Listed in Tao's wiki注釈 0 件
    部分的結果
  33. 2026-01-19数学 · Number theory
    Erdős Problem #684Partial progress by Quanyu Tang with GPT-5.2 Thinking (19 Jan 2026): partial result. 3 AI contributions are recorded in all.Quanyu Tang with GPT-5.2 Thinking✓ Listed in Tao's wiki注釈 0 件
    部分的結果
  34. 2026-01-13数学 · Number theory
    Erdős Problem #460Partial progress by Przemek Chojecki with GPT-5.2 (13 Jan 2026): reduction to a simpler problem.Przemek Chojecki with GPT-5.2✓ Listed in Tao's wiki注釈 0 件
    部分的結果
  35. 2026-01-13数学 · Number theory
    Erdős Problem #868Partial progress by GPT-5.2 multi-agent system (13 Jan 2026): new partial result.GPT-5.2 multi-agent system✓ Listed in Tao's wiki注釈 0 件
    部分的結果
  36. 2026-01-12数学 · Number theory
    Erdős Problem #679Partial progress by Aristotle (12 Jan 2026): improved proof by reducing dependence on prime number theorem.Aristotle✓ Listed in Tao's wiki注釈 0 件
    部分的結果
  37. 2026-01-10数学 · Number theory
    Erdős Problem #401Partial progress by Boris Alexeev, Kevin Barreto, Liam Price and Nat Sothanaphan with Aristotle and GPT-5.2 Pro (10 Jan 2026): full solution (Lean); solution to variant problem.Boris Alexeev, Kevin Barreto, Liam Price and Nat Sothanaphan with Aristotle and GPT-5.2 Pro✓ Lean formalization · Listed in Tao's wiki注釈 0 件
    部分的結果
  38. 2026-01-07数学 · Number theory
    Erdős Problem #477Partial progress by AlphaProof (7 Jan 2026): solution to variant problem (Lean).AlphaProof✓ Lean formalization · Listed in Tao's wiki注釈 0 件
    部分的結果
  39. 2026-01-07数学 · Ramsey theory
    Erdős Problem #949Partial progress by AlphaProof (7 Jan 2026): solution to variant problem (Lean).AlphaProof✓ Lean formalization · Listed in Tao's wiki注釈 0 件
    部分的結果
  40. 2026-01-05数学 · Number theory
    Erdős Problem #871Partial progress by Claude Opus 4.5 and Gemini 3 Pro (5 Jan 2026): existing partial result upgraded to full solution (Lean).Claude Opus 4.5 and Gemini 3 Pro✓ Lean formalization · Listed in Tao's wiki注釈 0 件
    部分的結果