Math

FrontierMath Leaderboard

FrontierMath is a benchmark of exceptionally hard, original research-level mathematics problems created with professional mathematicians. Even the strongest models solve only a small fraction, making it a frontier measure of genuine mathematical ability.

Source: epoch12 open models ranked+89 proprietaryData through May 2026

All models ranked on FrontierMath

Proprietary / closed models are shown dimmed — you can't run them locally, but they show where the open field stands.

#ModelScore
1GPT 5.5 Pro Pre Release (high) · proprietary
52.4%
2GPT 5.5 Pre Release (xhigh) · proprietary
51.7%
3GPT 5.5 Pro Pre Release (xhigh) · proprietary
51.0%
4GPT 5.4 Pro (Mar 05, 2026, xhigh) · proprietary
50.0%
5GPT 5.4 (Mar 05, 2026, xhigh) · proprietary
47.6%
6Claude Opus 4.8 Max · proprietary
47.2%
7Claude Opus 4.7 (xhigh) · proprietary
43.8%
8Claude Opus 4.6 Max · proprietary
40.7%
9GPT 5.2 (Dec 11, 2025, xhigh) · proprietary
40.7%
10GPT 5.2 (Dec 11, 2025, high) · proprietary
40.3%
11Claude Opus 4.6 (32K) · proprietary
40.0%
12Claude Opus 4.6 (64K) · proprietary
39.7%
13Muse Spark · proprietary
39.0%
14Gemini 3.5 Flash (high) · proprietary
39.0%
15Kimi K2.6 · 1058.6B
39.0%
16Claude Opus 4.6 · proprietary
38.3%
17Gemini 3 Pro Preview · proprietary
37.6%
18Gemini 3.1 Pro Preview · proprietary
36.9%
19GPT 5.2 (Dec 11, 2025, medium) · proprietary
36.9%
20Gemini 3 Flash Preview · proprietary
35.6%
21GLM 5.1 · 753.9B
33.5%
22GPT 5 (Aug 07, 2025, high) · proprietary
32.4%
23Claude Sonnet 4.6 (16K) · proprietary
32.4%
24GPT 5.1 (Nov 13, 2025, high) · proprietary
31.0%
25Gemini 2.5 Deep Think Webapp (Aug 01, 2025) · proprietary
29.0%
26GPT 5.4 Mini (Mar 17, 2026, high) · proprietary
28.3%
27Kimi K2.5 · 1058.6B
27.9%
28GPT 5 (Aug 07, 2025, medium) · proprietary
27.2%
29GPT 5 Mini (Aug 07, 2025, high) · proprietary
27.2%
30GPT 5.1 (Nov 13, 2025, medium) · proprietary
26.9%
31GPT 5.2 (Dec 11, 2025, low) · proprietary
26.6%
32Qwen3.6 Plus · proprietary
26.2%
33GPT 5.4 Nano (Mar 17, 2026, high) · proprietary
25.9%
34O4 Mini (Apr 16, 2025, high) · proprietary
24.8%
35Qwen3.6 Max Preview · proprietary
23.1%
36DeepSeek V3.2 · 685.4B
22.1%
37Kimi K2 Thinking · 1058.1B
21.4%
38Qwen3.5 Plus · proprietary
21.0%
39Claude Opus 4.5 (Nov 01, 2025, 32K) · proprietary
20.7%
40Claude Opus 4.5 (Nov 01, 2025) · proprietary
20.7%
41Claude Opus 4.5 (Nov 01, 2025, 16K) · proprietary
20.3%
42GPT 5 Mini (Aug 07, 2025, medium) · proprietary
20.3%
43Grok 4 (Jul 09) · proprietary
19.7%
44O4 Mini (Apr 16, 2025, medium) · proprietary
19.0%
45O3 (Apr 16, 2025, high) · proprietary
18.7%
46GPT 5.1 (Nov 13, 2025, low) · proprietary
17.3%
47O3 (Apr 16, 2025, medium) · proprietary
16.9%
48GLM 5 · 753.9B
16.4%
49Claude Sonnet 4.5 (Sep 29, 2025, 32K) · proprietary
15.2%
50Gemini 2.5 Pro · proprietary
14.1%
51Claude Sonnet 4.5 (Sep 29, 2025, 59K) · proprietary
13.5%
52O3 Mini (Jan 31, 2025, high) · proprietary
12.4%
53O4 Mini (Apr 16, 2025, low) · proprietary
10.7%
54Gemini 2.5 Pro Preview (Jun 05) · proprietary
10.3%
55Qwen3.6 Flash · proprietary
10.3%
56O3 (Apr 16, 2025, low) · proprietary
9.7%
57Claude Sonnet 4.5 (Sep 29, 2025) · proprietary
9.3%
58O1 (Dec 17, 2024, high) · proprietary
9.3%
59Qwen3 235B A22B Thinking 2507 · 235.1B
8.5%
60GPT 5 Nano (Aug 07, 2025, high) · proprietary
8.3%
61O3 Mini (Jan 31, 2025, medium) · proprietary
8.1%
62Claude Opus 4.1 (Aug 05, 2025, 27K) · proprietary
7.2%
63GPT 5 Nano (Aug 07, 2025, medium) · proprietary
7.2%
64Qwen3.5 Flash · proprietary
6.2%
65Claude Haiku 4.5 (Oct 01, 2025, 32K) · proprietary
5.9%
66Claude Opus 4.1 (Aug 05, 2025) · proprietary
5.9%
67Grok 3 Mini Beta (high) · proprietary
5.9%
68GPT 4.1 (Apr 14, 2025) · proprietary
5.5%
69Gemini 2.5 Flash · proprietary
4.8%
70Claude Opus 4 (May 14, 2025) · proprietary
4.5%
71GPT 4.1 Mini (Apr 14, 2025) · proprietary
4.5%
72Claude 3.7 Sonnet (Feb 19, 2025, 16K) · proprietary
4.1%
73Claude Haiku 4.5 (Oct 01, 2025) · proprietary
4.1%
74Claude Opus 4 (May 14, 2025, 27K) · proprietary
4.1%
75Claude Sonnet 4 (May 14, 2025) · proprietary
4.1%
76GLM 4.6 · 356.8B
3.8%
77Grok 3 Beta · proprietary
3.8%
78Claude 3.7 Sonnet (Feb 19, 2025, 32K) · proprietary
3.5%
79Claude 3.7 Sonnet (Feb 19, 2025, 64K) · proprietary
3.1%
80Claude 3.7 Sonnet (Feb 19, 2025) · proprietary
3.1%
81Grok 3 Mini Beta (low) · proprietary
2.8%
82GLM 4.7 · 358.3B
2.4%
83GPT 5.1 2025 11.13 None · proprietary
2.1%
84Claude 3.5 Sonnet (Oct 22, 2024) · proprietary
2.1%
85DeepSeek v3 · 684.5B
1.7%
86Gemini 2.0 Flash 001 · proprietary
1.7%
87O1 Mini (Sep 12, 2024, medium) · proprietary
1.7%
88Qwen Plus (Apr 28, 2025) · proprietary
1.7%
89O1 Mini (Sep 12, 2024, high) · proprietary
1.4%
90Claude 3.5 Sonnet (Jun 20, 2024) · proprietary
1.0%
91GPT 4.1 Nano (Apr 14, 2025) · proprietary
1.0%
92Qwen Max (Jan 25, 2025) · proprietary
1.0%
93Grok 2 (Dec 12) · proprietary
0.7%
94Llama 4 Maverick 17B 128E Instruct · 401.6B
0.7%
95Mistral Medium 2505 · proprietary
0.4%
96Claude 3.5 Haiku (Oct 22, 2024) · proprietary
0.3%
97GPT 4o (Aug 06, 2024) · proprietary
0.3%
98GPT 4o (Nov 20, 2024) · proprietary
0.3%
99Mistral Large 2411 · proprietary
0.3%
100Gemini 1.5 Flash 002 · proprietary
0.0%
101Llama 4 Scout 17B 16E Instruct · 108.6B
0.0%

Score vs model size

Which models give the most quality for their size — the ones worth running locally.

109B1.1Tmodel size (log scale) →39.0%0.0%Kimi K2.5 · 1.1T · 27.9%Kimi K2 Thinking · 1.1T · 21.4%GLM 5 · 754B · 16.4%GLM 4.6 · 357B · 3.8%GLM 4.7 · 358B · 2.4%DeepSeek v3 · 685B · 1.7%Llama 4 Maverick 17B 128E Instruct · 402B · 0.7%Llama 4 Scout 17B 16E Instruct · 109B · 0.0%Llama 4 Scout 17B 16E…Qwen3 235B A22B Thinking 2507 · 235B · 8.5%Qwen3 235B A22B Think…DeepSeek V3.2 · 685B · 22.1%DeepSeek V3.2GLM 5.1 · 754B · 33.5%GLM 5.1Kimi K2.6 · 1.1T · 39.0%Kimi K2.6
Each dot is a model. Up = higher score, left = smaller (easier to run locally). The dashed line marks the efficiency frontier — the best score you can get at each size or smaller.
  • Llama 4 Scout 17B 16E Instruct, 109B, score 0.0% — on the efficiency frontier (best score at its size or smaller).
  • Qwen3 235B A22B Thinking 2507, 235B, score 8.5% — on the efficiency frontier (best score at its size or smaller).
  • DeepSeek V3.2, 685B, score 22.1% — on the efficiency frontier (best score at its size or smaller).
  • GLM 5.1, 754B, score 33.5% — on the efficiency frontier (best score at its size or smaller).
  • Kimi K2.6, 1.1T, score 39.0% — on the efficiency frontier (best score at its size or smaller).

FrontierMath: frequently asked questions

What is the best open LLM on FrontierMath?
Kimi K2.6 is the top open model on FrontierMath, scoring 39.0%. Among all models tested — including proprietary ones — it ranks #14. The top model overall is GPT 5.5 Pro Pre Release (high) (OpenAI) at 52.4%.
Can open models match proprietary models on FrontierMath?
Not quite on FrontierMath: the strongest proprietary model (GPT 5.5 Pro Pre Release (high)) scores 52.4%, ahead of the best open model (Kimi K2.6) at 39.0% — but you can run the open one yourself.

Scores aggregated from epoch. llmrun does not run this benchmark — see the source for methodology, or the about benchmarks for what it measures.