FrontierMath Tier 4
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 FrontierMath uses new, unpublished problems and automated verification to reliably evaluate models while minimizing risk of data contamination.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.
- 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.
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:
- GPT-6 Astra
- Claude Opus 5.5
- GPT-6.1 Terra
- GPT-6.1 Sol
- and 12 more
One of them reports a score in its own model card. We plot lab claims in the charts below.
- 47.9
AI Co-Mathematician
- 39.6 GPT-5.5 Pro
- 37.5 GPT-5.4 Pro
- 35.4 GPT-5.5
- 31.3 GPT-5.2 Pro
- 31.3 Claude Opus 4.8
- 27.1 GPT-5.4
- 22.9 Claude Opus 4.7
- 22.9 Claude Opus 4.6
- 18.8 GPT-5.2
- 18.8
Gemini 3 Pro
- 16.7
Gemini 3.1 Pro
- 14.6 GPT-5 Pro
- 14.6
Muse Spark
- 14.6 Kimi K2.6
- 14.6
Gemini 3.5 Flash
- 12.5 GPT-5
- 12.5 GPT-5.1
- 12.5 GLM-5.1
- 10.4
Gemini 2.5 Deep Think
- 8.33
Qwen 3.6 Plus
- 8.30 Claude Sonnet 4.6
- 6.25 o4-mini
- 6.25 GPT-5 mini
- 6.25 GPT-5.4 Nano
- 4.20 Kimi K2.5
- 4.17 o3-mini
- 4.17 Claude Opus 4
- 4.17
Gemini 2.5 Pro
- 4.17
Gemini 2.5 Flash
- 4.17 Claude Opus 4.1
- 4.17 Claude Sonnet 4.5
- 4.17 Claude Opus 4.5
- 4.17
Gemini 3 Flash
- 4.17
Qwen 3.6 Max (Preview)
- 2.13 GLM-4.6
- 2.10
DeepSeek-V3.2
- 2.10 GLM-5
- 2.08 o3
- 2.08 Grok 4
- 2.08 Grok 4 Heavy
- 2.08 GPT-5 nano
- 2.08 Claude Haiku 4.5
- 2.08
Qwen 3.5 Plus (hosted 397B-A17B)
- 2.08 GPT-5.4 Mini
- 0.0 Claude 3.5 Sonnet
- 0.0 Claude 3.5 Sonnet (October 2024)
- 0.0 Grok 3
- 0.0 GPT-4.1
- 0.0 Claude Sonnet 4
- 0.0
Qwen3-235B-A22B-Thinking
- 0.0 Kimi K2 Thinking
- 0.0 GLM-4.7
- 0.0
Qwen 3.5 Flash (hosted 35B-A3B)
- 0.0
Qwen 3.6 Flash
- 1
AI Co-Mathematician 47.9%
- 2 GPT-5.5 Pro xhigh 39.6%
- 3 GPT-5.4 Pro web 37.5%
- 4 GPT-5.5 xhigh 35.4%
- 5 GPT-5.2 Pro web 31.3%
- 6 Claude Opus 4.8 max 31.3%
- 7 GPT-5.4 xhigh 27.1%
- 8 Claude Opus 4.7 xhigh 22.9%
- 9 Claude Opus 4.6 max 22.9%
- 10 GPT-5.2 xhigh 18.8%
- 11
Gemini 3 Pro 18.8%
- 12
Gemini 3.1 Pro 16.7%
- 13 GPT-5 Pro high 14.6%
- 14
Muse Spark 14.6%
- 15 Kimi K2.6 14.6%
- 16
Gemini 3.5 Flash high 14.6%
- 17 GPT-5 high 12.5%
- 18 GPT-5.1 high 12.5%
- 19 GLM-5.1 12.5%
- 20
Gemini 2.5 Deep Think 10.4%
- 21
Qwen 3.6 Plus 2026-04-02 8.33%
- 22 Claude Sonnet 4.6 16k thinking 8.30%
- 23 o4-mini high 6.25%
- 24 GPT-5 mini high 6.25%
- 25 GPT-5.4 Nano high 6.25%
- 26 Kimi K2.5 Fireworks 4.20%
- 27 o3-mini high 4.17%
- 28 Claude Opus 4 27K 4.17%
- 29
Gemini 2.5 Pro Jun 2025 4.17%
- 30
Gemini 2.5 Flash Jun 2025 4.17%
- 31 Claude Opus 4.1 27K 4.17%
- 32 Claude Sonnet 4.5 32k thinking 4.17%
- 33 Claude Opus 4.5 no thinking 4.17%
- 34
Gemini 3 Flash 4.17%
- 35
Qwen 3.6 Max (Preview) 4.17%
- 36 GLM-4.6 Together 2.13%
- 37
DeepSeek-V3.2 Thinking; Fireworks 2.10%
- 38 GLM-5 2.10%
- 39 o3 high 2.08%
- 40 Grok 4 2.08%
- 41 Grok 4 Heavy web app 2.08%
- 42 GPT-5 nano medium 2.08%
- 43 Claude Haiku 4.5 32K 2.08%
- 44
Qwen 3.5 Plus (hosted 397B-A17B) 2.08%
- 45 GPT-5.4 Mini high 2.08%
- 46 Claude 3.5 Sonnet Jun 2024 0%
- 47 Claude 3.5 Sonnet (October 2024) 0%
- 48 Grok 3 0%
- 49 GPT-4.1 0%
- 50 Claude Sonnet 4 0%
- 51
Qwen3-235B-A22B-Thinking Jul 2025 0%
- 52 Kimi K2 Thinking Together 0%
- 53 GLM-4.7 Together 0%
- 54
Qwen 3.5 Flash (hosted 35B-A3B) 0%
- 55
Qwen 3.6 Flash 2026-04-16 0%
| # | Model | Score | Setting | Date | Source |
|---|---|---|---|---|---|
| 1 | | 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 | | 18.8% | Nov 2025 | Epoch AI | |
| 12 | | 16.7% | Feb 2026 | Epoch AI | |
| 13 | GPT-5 Pro | 14.6% | high | Oct 2025 | Epoch AI |
| 14 | | 14.6% | Apr 2026 | Epoch AI | |
| 15 | Kimi K2.6 | 14.6% | Apr 2026 | Epoch AI | |
| 16 | | 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 | | 10.4% | Aug 2025 | Epoch AI | |
| 21 | | 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 | | 4.17% | Jun 2025 | Epoch AI | |
| 30 | | 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 | | 4.17% | Dec 2025 | Epoch AI | |
| 35 | | 4.17% | Apr 2026 | Epoch AI | |
| 36 | GLM-4.6 | 2.13% | Together | Sep 2025 | Epoch AI |
| 37 | | 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 | | 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 | | 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 | | 0% | Feb 2026 | Epoch AI | |
| 55 | | 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.
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.
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.
| Date | Launch post | Score | As 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.
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