Leipzig Benchmark
Models answer 100 research-level math questions with known answers, written by 49 mathematicians at a Max Planck Institute workshop in April and May 2026.
Two questions stayed unsolved after heavy-thinking runs in mid 2026, and one after the September 2026 re-run with tools. The questions are printed in the paper appendix.
In the authors’ words
Between April 1 and May 15, 2026, a group of 49 mathematicians compiled a dataset of research-level mathematics questions with known answers. Most of the work was done during the three-day workshop Benchmarks in Leipzig with 35 participants at the Max Planck Institute for Mathematics in the Sciences in Leipzig, Germany. We present the resulting collection of 100 questions. We evaluated these questions in three stages: a single attempt by five state-of-the-art LLMs and their predecessors, followed by a 20-runs-per-model evaluation with three of these models, and finally a 3-run attempt with two heavy-thinking models. After Stage 1, 41 questions remained completely unsolved; after Stage 2, this count dropped to 16; and we concluded Stage 3 with only 2 unsolved questions. This demonstrates that the mathematical reasoning capabilities of LLMs are becoming impressive. In September 2026, we added a fourth stage in which the next generation of models attempted all 100 questions once more, after which only 1 question remains unsolved.
- 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.
2 models share the top score of 91%
Best score per model from the benchmark's own leaderboard, read on 2 Nov 2026. Where a model ran with several settings or harnesses, we keep its best.
- 91.0 GPT-5.6 Sol Pro
- 91.0 GPT-6 Astra
- 90.0 GPT-5.6 Sol
- 88.0 GPT-6 Astra Pro
- 86.0 GPT-6 Sol
- 85.0 Claude Opus 5.5
- 79.0 Claude Fable 5.1
- 75.0 Claude Opus 5
- 44.0 GPT-5.5
- 41.0
Gemini 3.8 Flash
- 28.0 GPT-5.4
- 15.0
Gemini 3.1 Pro
- 14.0
Gemini 3 Pro
- 14.0 Claude Opus 4.6
- 13.0 Claude Opus 4.7
- 10.0
DeepSeek-V4-Pro
- 8.00
DeepSeek-V3.2
- 6.00 Grok 4.3
- 5.00 Grok 4.20
- 1 GPT-5.6 Sol Pro max, web search, code 91%
- 2 GPT-6 Astra max, web search, code 91%
- 3 GPT-5.6 Sol max, web search, code 90%
- 4 GPT-6 Astra Pro max, web search, code 88%
- 5 GPT-6 Sol max, web search, code 86%
- 6 Claude Opus 5.5 high, web search, code 85%
- 7 Claude Fable 5.1 high, web search, code 79%
- 8 Claude Opus 5 high, web search, code 75%
- 9 GPT-5.5 xhigh, web search 44%
- 10
Gemini 3.8 Flash web search 41%
- 11 GPT-5.4 xhigh 28%
- 12
Gemini 3.1 Pro web search 15%
- 13
Gemini 3 Pro 14%
- 14 Claude Opus 4.6 14%
- 15 Claude Opus 4.7 13%
- 16
DeepSeek-V4-Pro web search 10%
- 17
DeepSeek-V3.2 8.00%
- 18 Grok 4.3 high, web search 6.00%
- 19 Grok 4.20 5.00%
| # | Model | Score | Setting | Date | Source |
|---|---|---|---|---|---|
| 1 | GPT-5.6 Sol Pro | 91% | max, web search, code | Jul 2026 | Official leaderboard |
| 2 | GPT-6 Astra | 91% | max, web search, code | Sep 2026 | Official leaderboard |
| 3 | GPT-5.6 Sol | 90% | max, web search, code | Jul 2026 | Official leaderboard |
| 4 | GPT-6 Astra Pro | 88% | max, web search, code | Sep 2026 | Official leaderboard |
| 5 | GPT-6 Sol | 86% | max, web search, code | Sep 2026 | Official leaderboard |
| 6 | Claude Opus 5.5 | 85% | high, web search, code | Sep 2026 | Official leaderboard |
| 7 | Claude Fable 5.1 | 79% | high, web search, code | Sep 2026 | Official leaderboard |
| 8 | Claude Opus 5 | 75% | high, web search, code | Jul 2026 | Official leaderboard |
| 9 | GPT-5.5 | 44% | xhigh, web search | Apr 2026 | Official leaderboard |
| 10 | | 41% | web search | Sep 2026 | Official leaderboard |
| 11 | GPT-5.4 | 28% | xhigh | Mar 2026 | Official leaderboard |
| 12 | | 15% | web search | Feb 2026 | Official leaderboard |
| 13 | | 14% | Nov 2025 | Official leaderboard | |
| 14 | Claude Opus 4.6 | 14% | Feb 2026 | Official leaderboard | |
| 15 | Claude Opus 4.7 | 13% | Apr 2026 | Official leaderboard | |
| 16 | | 10% | web search | Apr 2026 | Official leaderboard |
| 17 | | 8.00% | Dec 2025 | Official leaderboard | |
| 18 | Grok 4.3 | 6.00% | high, web search | Apr 2026 | Official leaderboard |
| 19 | Grok 4.20 | 5.00% | Feb 2026 | Official leaderboard |
2 models have held number one since its release in Jun 2026
Lab claims count from the day the card came out, independent runs from the model’s release.
The best score passed 85% in Jul 2026
All the scores we have, one dot each, so a model tested at several settings appears more than once.
No lab model card reports it yet
We read the headline results of 479 launch posts from 51 labs, and none of them list this benchmark.
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