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Math

FrontierMath Tier 4 Leaderboard

FrontierMath Tier 4 is the hardest tier of Epoch AI's research-level mathematics benchmark, holding problems that working mathematicians consider genuinely difficult research questions. Scores here stay low even for frontier models, making it the sharpest available read on mathematical ability.

Source: epoch15 open models ranked+64 proprietaryData through Oct 2026

Open models ranked on FrontierMath Tier 4

# shows rank among open models / rank overall (including proprietary).

#ModelScoreVRAM @ Q4
1 / 30DeepSeek V4.1 Flash 1017 · 763.2B
46.3%
~458 GB
2 / 35Kimi K3 · 2779.9B
39.0%
~1674 GB
3 / 41Muse Spark Open 816B A42B · 822.0B
31.7%
~543 GB
4 / 44GLM 5.2 · 753.3B
29.3%
~456 GB
5 / 45GLM 5.3 · 753.3B
29.3%
~456 GB
6 / 47DeepSeek V4 Pro 0813 · 1650.5B
26.8%
~991 GB
7 / 48DeepSeek V4.1 Flash · 763.2B
26.8%
~458 GB
8 / 51Mistral Large 4 1T A52B · 1000B
26.8%
~604 GB
9 / 52Kimi K2.6 · 1026.9B
25.6%
~620 GB
10 / 53DeepSeek V4 Flash 0731 · 304.2B
24.4%
~183 GB
11 / 60GLM 5.3 Flash · 321.3B
17.1%
~195 GB
12 / 63Inkling Small · 266.0B
17.1%
~160 GB
13 / 67Kimi K2.7 Code · 1026.9B
12.2%
~620 GB
14 / 70Inkling · 952.4B
4.9%
~572 GB
15 / 74DeepSeek V4 Pro · 1598.8B
2.4%
~960 GB

Score vs model size

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

266B2.8Tmodel size (log scale) →46.3%2.4%Kimi K3 · 2.8T · 39.0%Muse Spark Open 816B A42B · 822B · 31.7%GLM 5.3 · 753B · 29.3%DeepSeek V4.1 Flash · 763B · 26.8%DeepSeek V4 Pro 0813 · 1.7T · 26.8%Mistral Large 4 1T A52B · 1T · 26.8%Kimi K2.6 · 1T · 25.6%GLM 5.3 Flash · 321B · 17.1%Kimi K2.7 Code · 1T · 12.2%Inkling · 952B · 4.9%DeepSeek V4 Pro · 1.6T · 2.4%Inkling Small · 266B · 17.1%Inkling SmallDeepSeek V4 Flash 0731 · 304B · 24.4%DeepSeek V4 Flash 0731GLM 5.2 · 753B · 29.3%GLM 5.2DeepSeek V4.1 Flash 1017 · 763B · 46.3%DeepSeek V4.1 Flash 1…
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.
  • Inkling Small, 266B, score 17.1% — on the efficiency frontier (best score at its size or smaller).
  • DeepSeek V4 Flash 0731, 304B, score 24.4% — on the efficiency frontier (best score at its size or smaller).
  • GLM 5.2, 753B, score 29.3% — on the efficiency frontier (best score at its size or smaller).
  • DeepSeek V4.1 Flash 1017, 763B, score 46.3% — on the efficiency frontier (best score at its size or smaller).

FrontierMath Tier 4: frequently asked questions

What is the best open LLM on FrontierMath Tier 4?
DeepSeek V4.1 Flash 1017 is the top open model on FrontierMath Tier 4, scoring 46.3%. Among all models tested — including proprietary ones — it ranks #29. The top model overall is GPT 6.1 Sol Max (OpenAI) at 100.0%.
Can open models match proprietary models on FrontierMath Tier 4?
Not quite on FrontierMath Tier 4: the strongest proprietary model (GPT 6.1 Sol Max) scores 100.0%, ahead of the best open model (DeepSeek V4.1 Flash 1017) at 46.3% — 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.