FrontierMath

    🏆 Leaderboard

    As of August 20, 2026, GPT-5.6 Sol is #1 for FrontierMath at 89%. Ranked by FrontierMath: research-level math that stays hard after models ace AIME. 53 models in this index have a published FrontierMath score. FrontierMath leaderboard with live API prices. FrontierMath — extremely challenging math problems at the frontier of mathematical research.

    Updated August 20, 2026282 models33 providers
    GPT-5.6 Sol
    OpenAI · Proprietary
    89%$35.00
    GPT-5.6 Terra
    OpenAI · Proprietary
    84.9%$14.00
    GPT-5.6 Luna
    OpenAI · Proprietary
    78.6%$1.40
    GPT-5.4
    OpenAI · Proprietary
    47.6%$17.50
    Claude Opus 4.8
    Anthropic · Proprietary
    47.2%$30.00
    Claude Opus 4.7
    Anthropic · Proprietary
    43.8%$30.00
    Claude Opus 4.6
    Anthropic · Proprietary
    40.7%$30.00
    GPT-5.2
    OpenAI · Proprietary
    40.3%$15.75
    GPT-5.5 Pro
    OpenAI · Proprietary
    39.6%$540.00
    Kimi K2.6OSS
    Moonshot AI · Open Source
    39.0%$4.93
    Gemini 3.5 Flash
    Google · Proprietary
    39.0%$10.50
    Gemini 3 Pro
    Google · Proprietary
    37.6%$14.00
    Gemini 3.1 Pro
    Google · Proprietary
    36.9%$17.50
    Gemini 3 Flash
    Google · Proprietary
    35.6%$3.50
    GPT-5.5
    OpenAI · Proprietary
    35.4%$35.00
    GLM-5.1OSS
    Z AI · Open Source
    33.5%$5.80
    Claude Sonnet 4.6
    Anthropic · Proprietary
    32.4%$18.00
    GPT-5.4 mini
    OpenAI · Proprietary
    28.3%$5.25
    GPT-5.1 Thinking
    OpenAI · Proprietary
    26.7%$11.25
    GPT-5.1 Instant
    OpenAI · Proprietary
    26.7%$11.25
    GPT-5.1
    OpenAI · Proprietary
    26.7%$11.25
    GPT-5
    OpenAI · Proprietary
    26.3%$11.25
    Qwen3.6 Plus
    Qwen · Proprietary
    26.2%$3.50
    GPT-5.4 nano
    OpenAI · Proprietary
    25.9%$1.45
    GPT-5 mini
    OpenAI · Proprietary
    22.1%$2.25
    Claude Opus 4.5
    Anthropic · Proprietary
    20.7%$30.00
    GLM-5OSS
    Z AI · Open Source
    16.4%$4.20
    o3
    OpenAI · Proprietary
    15.8%$10.00
    Gemini 2.5 Pro
    Google · Proprietary
    14.1%$11.25
    o4-mini
    OpenAI · Proprietary
    10.7%$5.50
    Gemini 2.5 Pro Preview 06-05
    Google · Proprietary
    10.3%$11.25
    GPT-5 nano
    OpenAI · Proprietary
    9.6%$0.45
    Claude Sonnet 4.5
    Anthropic · Proprietary
    9.3%$18.00
    o3-mini
    OpenAI · Proprietary
    9.2%$5.50
    Qwen3-235B-A22B-Thinking-2507OSS
    Qwen · Open Source
    8.5%$3.30
    Claude Opus 4.1
    Anthropic · Proprietary
    7.2%$90.00
    Claude Haiku 4.5
    Anthropic · Proprietary
    5.9%$6.00
    GPT-4.1
    OpenAI · Proprietary
    5.5%$10.00
    o1
    OpenAI · Proprietary
    5.5%$75.00
    Gemini 2.5 Flash
    Google · Proprietary
    4.8%$2.80
    GPT-4.1 mini
    OpenAI · Proprietary
    4.5%$2.00
    Claude Sonnet 4
    Anthropic · Proprietary
    4.1%$18.00
    Claude Opus 4
    Anthropic · Proprietary
    4.1%$90.00
    GLM-4.6OSS
    Z AI · Open Source
    3.8%$2.80
    Claude 3.7 Sonnet
    Anthropic · Proprietary
    3.1%$18.00
    GLM-4.7OSS
    Z AI · Open Source
    2.4%$2.80
    Claude 3.5 Sonnet
    Anthropic · Proprietary
    2.1%$18.00
    o1-mini
    OpenAI · Proprietary
    1.7%$15.00
    DeepSeek-V3OSS
    DeepSeek · Open Source
    1.7%$1.37
    GPT-4.1 nano
    OpenAI · Proprietary
    1.0%$0.50
    Showing 150 of 282 models

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    The index

    All Large Language Models

    282 models across 33 providers. Search or jump to a lab — every model page stays linked here.

    Baidu

    1 models

    Inception

    1 models

    inclusionAI

    1 models

    LG AI Research

    1 models

    Nous Research

    1 models

    Sakana AI

    1 models

    StepFun

    1 models

    Tencent

    1 models

    Thinking Machines

    1 models

    Unisound

    1 models

    Upstage

    1 models

    Which model leads FrontierMath right now?

    As of August 20, 2026, GPT-5.6 Sol by OpenAI is #1 for FrontierMath at 89%. Ranked by FrontierMath: research-level math that stays hard after models ace AIME. This board also tracks FrontierMath. Next on the same board: GPT-5.6 Terra and GPT-5.6 Luna. This frontiermath leaderboard ranks models by FrontierMath. Scores come from public evals. Prices are the live API rates in the table above.

    Sources: OpenAI API pricing (https://developers.openai.com/api/docs/pricing); Anthropic Claude API pricing (https://platform.claude.com/docs/en/about-claude/pricing); Gemini API pricing (https://ai.google.dev/gemini-api/docs/pricing)

    Top 8 for frontiermath. Ranked by FrontierMath: research-level math that stays hard after models ace AIME. Input and output are dollars per million tokens.
    RankModelFrontierMathInput /MOutput /M
    1GPT-5.6 Sol89%$5.00$30.00
    2GPT-5.6 Terra84.9%$2.00$12.00
    3GPT-5.6 Luna78.6%$0.20$1.20
    4GPT-5.447.6%$2.50$15.00
    5Claude Opus 4.847.2%$5.00$25.00
    6Claude Opus 4.743.8%$5.00$25.00
    7Claude Opus 4.640.7%$5.00$25.00
    8GPT-5.240.3%$1.75$14.00

    FrontierMath FAQ

    Who ranks #1 on the FrontierMath leaderboard?

    As of August 20, 2026, GPT-5.6 Sol by OpenAI ranks #1 on FrontierMath at 89%. API pricing is $5.00/M input and $30.00/M output.

    What are the top models on FrontierMath?

    The current FrontierMath ranking as of August 20, 2026 is 1. GPT-5.6 Sol at 89%; 2. GPT-5.6 Terra at 84.9%; 3. GPT-5.6 Luna at 78.6%.

    Which frontiermath model is the cheapest?

    GPT-5 nano is the cheapest scored model on this frontiermath leaderboard at $0.05/M input and $0.40/M output ($0.45 blended). GPT-5.6 Sol still leads FrontierMath at 89%.

    Should I always pick the #1 FrontierMath model?

    Not automatically. GPT-5.6 Sol leads FrontierMath, but a cheaper scored model can be the better production choice if the quality gap is small. Use the table to weigh FrontierMath against input/output price, context window, and related evals.

    How often is the FrontierMath leaderboard updated?

    Scores and API prices on this page are refreshed from published evals and provider rates. The snapshot is labeled August 20, 2026. Treat it as a current index, not a one-off blog post.

    What is FrontierMath?

    FrontierMath — extremely challenging math problems at the frontier of mathematical research. This page ranks models that have published a FrontierMath score, with live API token prices on the same row.

    Where is the FrontierMath leaderboard?

    This page is the FrontierMath leaderboard. Models are sorted by FrontierMath, with input and output token prices on the same row so you can weigh score against cost. Official boards often omit price; that comparison is the point of this index.

    How is this FrontierMath ranking different from the official board?

    Official eval pages own the methodology. This page keeps the published FrontierMath score next to live API $/M so you can pick a production SKU, not only a trophy number.