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math benchmark

FrontierMath Leaderboard

FrontierMath is a benchmark of hundreds of original, exceptionally challenging mathematics problems crafted and vetted by expert mathematicians, covering major branches of modern mathematics from number theory and real analysis to algebraic geometry and category theory.

Updated Sep 5, 2026

Models17
Model coverage17
MetricScore
EvidenceB

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FrontierMath Ranking

Higher score ranks better on this benchmark.

17 rows
Columns

Show columns

Sort by
Rank
Model
Score
Percentile
Participants
Evidence
Evaluated
Rank01ModelOPGPT-5.6 SolOpenAIScore89.00%Percentile100.00%Participants17EvidenceCEvaluatedSep 8, 2026
Rank02ModelOPGPT-5.6 TerraOpenAIScore84.90%Percentile93.75%Participants17EvidenceCEvaluatedSep 8, 2026
Rank03ModelOPGPT-5.6 LunaOpenAIScore78.60%Percentile87.50%Participants17EvidenceCEvaluatedSep 8, 2026
Rank04ModelOPGPT-5.4OpenAIScore47.60%Percentile81.25%Participants17EvidenceCEvaluatedSep 8, 2026
Rank05ModelOPGPT-5.2OpenAIScore40.30%Percentile75.00%Participants17EvidenceCEvaluatedSep 8, 2026
Rank06ModelOPGPT-5.5 ProOpenAIScore39.60%Percentile68.75%Participants17EvidenceCEvaluatedSep 8, 2026
Rank07ModelOPGPT-5.5OpenAIScore35.40%Percentile62.50%Participants17EvidenceCEvaluatedSep 8, 2026
Rank08ModelOPGPT-5.1OpenAIScore26.70%Percentile56.25%Participants17EvidenceCEvaluatedSep 8, 2026
Rank09ModelOPGPT-5.1 InstantOpenAIScore26.70%Percentile50.00%Participants17EvidenceCEvaluatedSep 8, 2026
Rank10ModelOPGPT-5.1 ThinkingOpenAIScore26.70%Percentile43.75%Participants17EvidenceCEvaluatedSep 8, 2026
Rank11ModelOPGPT-5OpenAIScore26.30%Percentile37.50%Participants17EvidenceCEvaluatedSep 8, 2026
Rank12ModelOPGPT-5 miniOpenAIScore22.10%Percentile31.25%Participants17EvidenceCEvaluatedSep 8, 2026
Rank13ModelOPo3OpenAIScore15.80%Percentile25.00%Participants17EvidenceCEvaluatedSep 8, 2026
Rank14ModelOPGPT-5 nanoOpenAIScore9.60%Percentile18.75%Participants17EvidenceCEvaluatedSep 8, 2026
Rank15ModelOPo3-miniOpenAIScore9.20%Percentile12.50%Participants17EvidenceCEvaluatedSep 8, 2026
Rank16ModelMIMAI-Code-1-FlashMicrosoftScore6.30%Percentile6.25%Participants17EvidenceCEvaluatedSep 8, 2026
Rank17ModelOPo1OpenAIScore5.50%Percentile0.00%Participants17EvidenceCEvaluatedSep 8, 2026

FrontierMath Highlights

The leading models and scores on this benchmark.

FrontierMath Score Distribution

A closer view of the leading scores on this benchmark.

FrontierMath

The Top AI Models for FrontierMath

The first five results on this benchmark, with official price and output speed added where the model identity can be matched.

What is FrontierMath?

What FrontierMath measures and how its scores work.

FrontierMath is a mathematics benchmark consisting of hundreds of original problems crafted and vetted by expert mathematicians.

It reports a Score as a ratio.

Scores are shown in ratio. This benchmark is not independently verified and has an evidence level of B.

Family
FrontierMath
Modality
text
Primary category
math
Score direction
higher
LLMBoard eligible
No
Evaluation key
overall

LLM Stats. Benchmark scores retain their original unit. Overall score eligibility is shown separately.

FAQ

Common questions about FrontierMath.

Which model scores highest on FrontierMath?

GPT-5.6 Sol is currently ranked first with 89.00%.

What are the top three models on FrontierMath?

The current leaders are GPT-5.6 Sol (89.00%), GPT-5.6 Terra (84.90%), and GPT-5.6 Luna (78.60%).

Which FrontierMath model has the lowest official input price?

GPT-5 nano has the lowest matched official input price at $0.05 input / $0.40 output per 1M tokens.

Which models are fastest among FrontierMath results?

The fastest matched records are GPT-5 nano (500.00 tok/s via OpenAI), GPT-5 mini (167.61 tok/s via OpenAI), and GPT-5.5 (134.94 tok/s via OpenAI).

Does the highest score result prove overall model quality?

No. This benchmark measures one defined capability or task. The overall LLMBoard score uses a separate aggregation across eligible benchmark evidence.

What does FrontierMath measure?

It reports a Score as a ratio.

Is a higher score better?

Yes. Higher values rank better for this benchmark.

How many models are compared?

17 model results are currently shown.

Does this benchmark affect the overall score?

No. This benchmark is shown for reference but does not contribute to the overall score.

Rank #1GPT-5.6 Sol89.00%
Rank #2GPT-5.6 Terra84.90%
Rank #3GPT-5.6 Luna78.60%
Rank #4GPT-5.447.60%

Ranking basisThis frontiermath AI model leaderboard uses descending score in the benchmark original unit. The leaderboard ranking keeps matched price and speed data separate from benchmark evidence.

  1. 01
    OP
    GPT-5.6 SolOpenAI
    Score
    89.00%
    Price
    $4.0 input / $20 output per 1M tokens
    Speed
    Up to 2.36 tok/s via OpenAI

    Strengths

    • Ranks #1 of 17 compared models
    • 100th percentile on this benchmark
    • C evidence result

    Considerations

    • This result measures FrontierMath, not total model capability
  2. 02
    OP
    GPT-5.6 TerraOpenAI
    Score
    84.90%
    Price
    $2.0 input / $12 output per 1M tokens
    Speed
    Up to 99.35 tok/s via OpenAI

    Strengths

    • Ranks #2 of 17 compared models
    • 94th percentile on this benchmark
    • C evidence result

    Considerations

    • This result measures FrontierMath, not total model capability
  3. 03
    OP
    OpenAI
    Score
    78.60%
    Price
    $0.20 input / $1.2 output per 1M tokens
    Speed
    Up to 41.87 tok/s via OpenAI

    Strengths

    • Ranks #3 of 17 compared models
    • 88th percentile on this benchmark
    • C evidence result

    Considerations

    • This result measures FrontierMath, not total model capability
  4. 04
    OP
    OpenAI
    Score
    47.60%
    Price
    $2.5 input / $15 output per 1M tokens
    Speed
    Up to 50.00 tok/s via OpenAI

    Strengths

    • Ranks #4 of 17 compared models
    • 81th percentile on this benchmark
    • C evidence result

    Considerations

    • This result measures FrontierMath, not total model capability
  5. 05
    OP
    OpenAI
    Score
    40.30%
    Price
    $1.8 input / $14 output per 1M tokens
    Speed
    Up to 100.00 tok/s via OpenAI

    Strengths

    • Ranks #5 of 17 compared models
    • 75th percentile on this benchmark
    • C evidence result

    Considerations

    • This result measures FrontierMath, not total model capability

Selection summary

Best AI Models for FrontierMath

GPT-5.6 Sol currently leads FrontierMath with 89.00%. It is the top model on this specific benchmark, while the best LLM for the broader task should also be checked against other benchmarks, price, and runtime.

Use this leaderboard with the supporting benchmark results and coverage details above. A leaderboard position summarizes the selected ranking signal; it does not replace workload-specific testing.

GPT-5.6 Luna
GPT-5.4
GPT-5.2
Benchmark rank #1GPT-5.6 Sol89.00% · $4.0 input / $20 output per 1M tokens
Benchmark rank #2GPT-5.6 Terra84.90% · $2.0 input / $12 output per 1M tokens
Benchmark rank #3GPT-5.6 Luna78.60% · $0.20 input / $1.2 output per 1M tokens