Benchmark Almanac

FrontierMath Tier 4

AI Co-Mathematician 47.9% leads since May 2026 Fading

Models solve research-level math problems that take experts days, submitting answers through a Python function. Each answer is verified automatically as correct or incorrect.

OpenAI funded FrontierMath and can access part of it, and a June 2026 v2 corrected 12 Tier 4 problems and removed 7.

In the authors’ words

We introduce FrontierMath, a benchmark of hundreds of original, exceptionally challenging mathematics problems crafted and vetted by expert mathematicians. The questions cover most major branches of modern mathematics – from computationally intensive problems in number theory and real analysis to abstract questions in algebraic geometry and category theory. Solving a typical problem requires multiple hours of effort from a researcher in the relevant branch of mathematics, and for the upper end questions, multiple days. FrontierMath uses new, unpublished problems and automated verification to reliably evaluate models while minimizing risk of data contamination. Current state-of-the-art AI models solve under 2% of problems, revealing a vast gap between AI capabilities and the prowess of the mathematical community. As AI systems advance toward expert-level mathematical abilities, FrontierMath offers a rigorous testbed that quantifies their progress.

Abstract of FrontierMath: A Benchmark for Evaluating Advanced Mathematical Reasoning in AI (arXiv:2411.04872, CC0)
Made by Epoch AI Released Jul 2025 Research mathematics Public tasks plus a private test set Last in a launch post Sep 2026 , dropped after it saturated Last model added Sep 2026 Scores refreshed 31 Oct 2026
Level
Research frontier Researchers, on open problems or tasks that take days
Scored
Checked automatically A program checks the result against an answer key, unit tests or the expected final state.
Answers
Short answer A number, word or short string matched to a key.
55
Models scored in Epoch AI data
5
Launch posts list it, from 1 lab

AI Co-Mathematician leads with 47.9% among models released by May 2026

Best score per model in Epoch AI’s data. Where a model ran with several settings or harnesses, we keep its best.

The newest model with a score here came out in May 2026, and nobody has tested a newer one. Among the 20 highest-ranked models on the capability index, these have no score yet:

One of them reports a score in its own model card. We plot lab claims in the charts below.

  1. 1 AI Co-Mathematician 47.9%
  2. 2 GPT-5.5 Pro xhigh 39.6%
  3. 3 GPT-5.4 Pro web 37.5%
  4. 4 GPT-5.5 xhigh 35.4%
  5. 5 GPT-5.2 Pro web 31.3%
  6. 6 Claude Opus 4.8 max 31.3%
  7. 7 GPT-5.4 xhigh 27.1%
  8. 8 Claude Opus 4.7 xhigh 22.9%
  9. 9 Claude Opus 4.6 max 22.9%
  10. 10 GPT-5.2 xhigh 18.8%
  11. 11 Gemini 3 Pro 18.8%
  12. 12 Gemini 3.1 Pro 16.7%
  13. 13 GPT-5 Pro high 14.6%
  14. 14 Muse Spark 14.6%
  15. 15 Kimi K2.6 14.6%
  16. 16 Gemini 3.5 Flash high 14.6%
  17. 17 GPT-5 high 12.5%
  18. 18 GPT-5.1 high 12.5%
  19. 19 GLM-5.1 12.5%
  20. 20 Gemini 2.5 Deep Think 10.4%
  21. 21 Qwen 3.6 Plus 2026-04-02 8.33%
  22. 22 Claude Sonnet 4.6 16k thinking 8.30%
  23. 23 o4-mini high 6.25%
  24. 24 GPT-5 mini high 6.25%
  25. 25 GPT-5.4 Nano high 6.25%
  26. 26 Kimi K2.5 Fireworks 4.20%
  27. 27 o3-mini high 4.17%
  28. 28 Claude Opus 4 27K 4.17%
  29. 29 Gemini 2.5 Pro Jun 2025 4.17%
  30. 30 Gemini 2.5 Flash Jun 2025 4.17%
  31. 31 Claude Opus 4.1 27K 4.17%
  32. 32 Claude Sonnet 4.5 32k thinking 4.17%
  33. 33 Claude Opus 4.5 no thinking 4.17%
  34. 34 Gemini 3 Flash 4.17%
  35. 35 Qwen 3.6 Max (Preview) 4.17%
  36. 36 GLM-4.6 Together 2.13%
  37. 37 DeepSeek-V3.2 Thinking; Fireworks 2.10%
  38. 38 GLM-5 2.10%
  39. 39 o3 high 2.08%
  40. 40 Grok 4 2.08%
  41. 41 Grok 4 Heavy web app 2.08%
  42. 42 GPT-5 nano medium 2.08%
  43. 43 Claude Haiku 4.5 32K 2.08%
  44. 44 Qwen 3.5 Plus (hosted 397B-A17B) 2.08%
  45. 45 GPT-5.4 Mini high 2.08%
  46. 46 Claude 3.5 Sonnet Jun 2024 0%
  47. 47 Claude 3.5 Sonnet (October 2024) 0%
  48. 48 Grok 3 0%
  49. 49 GPT-4.1 0%
  50. 50 Claude Sonnet 4 0%
  51. 51 Qwen3-235B-A22B-Thinking Jul 2025 0%
  52. 52 Kimi K2 Thinking Together 0%
  53. 53 GLM-4.7 Together 0%
  54. 54 Qwen 3.5 Flash (hosted 35B-A3B) 0%
  55. 55 Qwen 3.6 Flash 2026-04-16 0%
#ModelScoreSettingDateSource
1 AI Co-Mathematician 47.9% May 2026 Epoch AI
2 GPT-5.5 Pro 39.6% xhigh Apr 2026 Epoch AI
3 GPT-5.4 Pro 37.5% web Mar 2026 Epoch AI
4 GPT-5.5 35.4% xhigh Apr 2026 Epoch AI
5 GPT-5.2 Pro 31.3% web Dec 2025 Epoch AI
6 Claude Opus 4.8 31.3% max May 2026 Epoch AI
7 GPT-5.4 27.1% xhigh Mar 2026 Epoch AI
8 Claude Opus 4.7 22.9% xhigh Apr 2026 Epoch AI
9 Claude Opus 4.6 22.9% max Feb 2026 Epoch AI
10 GPT-5.2 18.8% xhigh Dec 2025 Epoch AI
11 Gemini 3 Pro 18.8% Nov 2025 Epoch AI
12 Gemini 3.1 Pro 16.7% Feb 2026 Epoch AI
13 GPT-5 Pro 14.6% high Oct 2025 Epoch AI
14 Muse Spark 14.6% Apr 2026 Epoch AI
15 Kimi K2.6 14.6% Apr 2026 Epoch AI
16 Gemini 3.5 Flash 14.6% high May 2026 Epoch AI
17 GPT-5 12.5% high Aug 2025 Epoch AI
18 GPT-5.1 12.5% high Nov 2025 Epoch AI
19 GLM-5.1 12.5% Apr 2026 Epoch AI
20 Gemini 2.5 Deep Think 10.4% Aug 2025 Epoch AI
21 Qwen 3.6 Plus 8.33% 2026-04-02 Mar 2026 Epoch AI
22 Claude Sonnet 4.6 8.30% 16k thinking Feb 2026 Epoch AI
23 o4-mini 6.25% high Apr 2025 Epoch AI
24 GPT-5 mini 6.25% high Aug 2025 Epoch AI
25 GPT-5.4 Nano 6.25% high Mar 2026 Epoch AI
26 Kimi K2.5 4.20% Fireworks Jan 2026 Epoch AI
27 o3-mini 4.17% high Jan 2025 Epoch AI
28 Claude Opus 4 4.17% 27K May 2025 Epoch AI
29 Gemini 2.5 Pro Jun 2025 4.17% Jun 2025 Epoch AI
30 Gemini 2.5 Flash Jun 2025 4.17% Jun 2025 Epoch AI
31 Claude Opus 4.1 4.17% 27K Aug 2025 Epoch AI
32 Claude Sonnet 4.5 4.17% 32k thinking Sep 2025 Epoch AI
33 Claude Opus 4.5 4.17% no thinking Nov 2025 Epoch AI
34 Gemini 3 Flash 4.17% Dec 2025 Epoch AI
35 Qwen 3.6 Max (Preview) 4.17% Apr 2026 Epoch AI
36 GLM-4.6 2.13% Together Sep 2025 Epoch AI
37 DeepSeek-V3.2 2.10% Thinking; Fireworks Dec 2025 Epoch AI
38 GLM-5 2.10% Feb 2026 Epoch AI
39 o3 2.08% high Apr 2025 Epoch AI
40 Grok 4 2.08% Jul 2025 Epoch AI
41 Grok 4 Heavy 2.08% web app Jul 2025 Epoch AI
42 GPT-5 nano 2.08% medium Aug 2025 Epoch AI
43 Claude Haiku 4.5 2.08% 32K Oct 2025 Epoch AI
44 Qwen 3.5 Plus (hosted 397B-A17B) 2.08% Feb 2026 Epoch AI
45 GPT-5.4 Mini 2.08% high Mar 2026 Epoch AI
46 Claude 3.5 Sonnet 0% Jun 2024 Jun 2024 Epoch AI
47 Claude 3.5 Sonnet (October 2024) 0% Oct 2024 Epoch AI
48 Grok 3 0% Apr 2025 Epoch AI
49 GPT-4.1 0% Apr 2025 Epoch AI
50 Claude Sonnet 4 0% May 2025 Epoch AI
51 Qwen3-235B-A22B-Thinking Jul 2025 0% Jul 2025 Epoch AI
52 Kimi K2 Thinking 0% Together Nov 2025 Epoch AI
53 GLM-4.7 0% Together Dec 2025 Epoch AI
54 Qwen 3.5 Flash (hosted 35B-A3B) 0% Feb 2026 Epoch AI
55 Qwen 3.6 Flash 0% 2026-04-16 Apr 2026 Epoch AI

Labs report scores for 5 models in their cards. We plot every source in the charts below.

9 models have held number one since its release in Jul 2025

Lab claims count from the day the card came out, independent runs from the model’s release. We draw one row each for Epoch AI’s runs and what labs claim in their cards.

OpenAI Google DeepMind
Epoch AI runs Replaced by v2, Jun 2026
AI Co-Mathematician 47.9%
Lab claims Passed 85% in Sep 2026, by GPT-6 Astra
GPT-6 Astra 97.6%

The best score passed 85% in Sep 2026

All the scores we have, one dot each, so a model tested at several settings appears more than once.

Run or collected by Epoch AI Reported by the lab in its model card Best so far
0% 20% 40% 60% 80% 100% 2024 2025 2026 Near the ceiling (85%) Highest possible score GPT-6 Astra AI Co-Mathematician GPT-5.5 Pro GPT-5.2 Pro Gemini 3 Pro GPT-5 Pro Gemini 2.5 Deep Think 0% 20% 40% 60% 80% 100% 2024 2025 2026 Near the ceiling (85%) Highest possible score GPT-6 Astra AI Co-Mathematician

Labs headline it less often now, last in Sep 2026

Launch posts from every lab that has listed it, one tick per post. Tall colored ticks include it, and short gray ones leave it out.

OpenAI
DateLaunch postScoreAs the post writes it
3 Sep 2026 GPT-6 Astra 97.6 FrontierMath Tier 4 (v2)
23 Apr 2026 GPT-5.5 Pro 39.6 FrontierMath Tier 4
23 Apr 2026 GPT-5.5 39.6 FrontierMath Tier 4 (GPT-5.5 Pro)
5 Mar 2026 GPT-5.4 Pro 38 FrontierMath Tier 4
11 Dec 2025 GPT-5.2 14.6 FrontierMath (Tier 4) Advanced mathematics

Versions

We switch the top row to each new version when it comes out. Open it for one row per version. An old version stays in play while people still test it, so whoever first takes it past 85% gets credit for closing it out.

OpenAI Google DeepMind Anthropic
FrontierMath Tier 4 v2 Passed 85% in Jun 2026, by Claude Fable 5
FrontierMath Tier 4 Passed 85% in Sep 2026, by GPT-6 Astra
GPT-6 Astra 97.6%
FrontierMath Tier 4 v2 Passed 85% in Jun 2026, by Claude Fable 5

More in Math

All 105 in Math
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  • AIME 2026 In use Models solve the 30 integer-answer problems from the 2026 AIME I and II math competitions. Scored by exact answer match. GPT-5.5 100%
  • HMMT 2026 In use Models solve the 33 final-answer problems from the February 2026 Harvard-MIT Mathematics Tournament. Scored by exact answer match. GPT-5.5 98.5%
  • MathArena (Apex, IMO, USAMO) In use Evaluates models on newly released math competitions after release. Final-answer or human/LLM-judged proof scores. Claude Opus 4.8 81.3%
  • PolyMath In use Models solve 9,000 parallel math problems in 18 languages across four difficulty levels, from school math to frontier math. Final answers are checked. Qwen3.7-Max 86.5%
  • USAMO 2026 In use Models write full proofs for the six problems of the 2026 USA Mathematical Olympiad. Judges grade each proof from 0 to 7 against rubrics. GPT-5.5 98.2%