FrontierMath

Paper

Progress Over Time

Interactive timeline showing model performance evolution on FrontierMath

State-of-the-art frontier
Open
Proprietary

FrontierMath Leaderboard

17 models
ContextCostLicense
11.1M$5.00 / $30.00
21.1M$2.00 / $12.00
31.1M$0.20 / $1.20
4
OpenAI
OpenAI
1.0M$2.50 / $15.00
5
OpenAI
OpenAI
400K$1.75 / $14.00
6
7
OpenAI
OpenAI
1.1M$5.00 / $30.00
8
OpenAI
OpenAI
400K$1.25 / $10.00
8400K$1.25 / $10.00
8
11
OpenAI
OpenAI
12400K$0.25 / $2.00
13
OpenAI
OpenAI
14
15
OpenAI
OpenAI
16
17
OpenAI
OpenAI
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Sub-benchmarks

About this benchmark

What is FrontierMath?

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

FrontierMath is a text benchmark evaluating models on math and reasoning tasks. LLM Stats tracks 17 models on this benchmark, scored on a 0–1 scale. The current average is 0.3, with the leader at 0.9.

Compare leaders on the best AI for math and best AI for reasoning leaderboards.

Current leaders

GPT-5.6 Sol from OpenAI currently leads the FrontierMath leaderboard with a score of 0.890 across 17 evaluated AI models.

1GPT-5.6 SolOpenAI89.0%
2GPT-5.6 TerraOpenAI84.9%
3GPT-5.6 LunaOpenAI78.6%

Source paper

Title
FrontierMath: A Benchmark for Evaluating Advanced Mathematical Reasoning in AI
Authors
Elliot Glazer, Ege Erdil, Tamay Besiroglu, Diego Chicharro, and 20 others
Published
Abstract

We introduce FrontierMath, a benchmark of hundreds of original, exceptionally challenging mathematics problems crafted and vetted by expert mathematicians. The questions cover most major branches of modern mathematics -- from computationally intensive problems in number theory and real analysis to abstract questions in algebraic geometry and category theory. Solving a typical problem requires multiple hours of effort from a researcher in the relevant branch of mathematics, and for the upper end questions, multiple days. FrontierMath uses new, unpublished problems and automated verification to reliably evaluate models while minimizing risk of data contamination. Current state-of-the-art AI models solve under 2% of problems, revealing a vast gap between AI capabilities and the prowess of the mathematical community. As AI systems advance toward expert-level mathematical abilities, FrontierMath offers a rigorous testbed that quantifies their progress.

FAQ

Common questions about the FrontierMath benchmark and leaderboard.

What is the FrontierMath benchmark?

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

What is the FrontierMath leaderboard?

The FrontierMath leaderboard ranks 17 AI models based on their performance on this benchmark. Currently, GPT-5.6 Sol by OpenAI leads with a score of 0.890. The average score across all models is 0.347.

What is the highest FrontierMath score?

The highest FrontierMath score is 0.890, achieved by GPT-5.6 Sol from OpenAI.

How many models are evaluated on FrontierMath?

17 models have been evaluated on the FrontierMath benchmark, with 0 verified results and 17 self-reported results.

Where can I find the FrontierMath paper?

The FrontierMath paper is available at https://arxiv.org/abs/2411.04872. The paper details the methodology, dataset construction, and evaluation criteria.

What categories does FrontierMath cover?

FrontierMath is categorized under math and reasoning. The benchmark evaluates text models.

Are there variants of FrontierMath?

Yes. FrontierMath has 1 related variant: FrontierMath Tier 4 (v2).

Which model offers the best value on FrontierMath?

Among models scoring within 10% of the leader, GPT-5.6 Terra from OpenAI is the cheapest, at $2.00 per million input tokens with a score of 0.849.

How recent are the FrontierMath leaderboard results?

The FrontierMath leaderboard was last updated in August 2026 and currently includes 17 evaluated models.