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.

GPT-5.4 from OpenAI currently leads the FrontierMath leaderboard with a score of 0.476 across 14 evaluated AI models.

Paper
About this benchmark

What FrontierMath measures

FrontierMath is a text benchmark that evaluates large language models on math and reasoning tasks. LLM Stats tracks 14 models on this benchmark, with a maximum possible score of 1. Current average across reported models is 0.2, with the leader reaching 0.5.

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

Publication

Paper
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 FrontierMath uses new, unpublished problems and automated verification to reliably evaluate models while minimizing risk of data contamination.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.

OpenAIGPT-5.4 leads with 47.6%, followed by OpenAIGPT-5.2 at 40.3% and OpenAIGPT-5.5 Pro at 39.6%.

Progress Over Time

Interactive timeline showing model performance evolution on FrontierMath

State-of-the-art frontier
Open
Proprietary

FrontierMath Leaderboard

14 models
ContextCostLicense
1
OpenAI
OpenAI
1.0M$2.50 / $15.00
2
OpenAI
OpenAI
400K$1.75 / $14.00
3
4
OpenAI
OpenAI
1.1M$5.00 / $30.00
5
OpenAI
OpenAI
400K$1.25 / $10.00
5400K$1.25 / $10.00
5
8
OpenAI
OpenAI
9400K$0.25 / $2.00
10
OpenAI
OpenAI
11
12
OpenAI
OpenAI
13
14
OpenAI
OpenAI
Notice missing or incorrect data?

FAQ

Common questions about FrontierMath.

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 14 AI models based on their performance on this benchmark. Currently, GPT-5.4 by OpenAI leads with a score of 0.476. The average score across all models is 0.241.

What is the highest FrontierMath score?

The highest FrontierMath score is 0.476, achieved by GPT-5.4 from OpenAI.

How many models are evaluated on FrontierMath?

14 models have been evaluated on the FrontierMath benchmark, with 0 verified results and 14 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.

Which model offers the best value on FrontierMath?

Among models scoring within 10% of the leader, GPT-5.4 from OpenAI is the cheapest, at $2.50 per million input tokens with a score of 0.476.

How recent are the FrontierMath leaderboard results?

The FrontierMath leaderboard was last updated in June 2026 and currently includes 14 evaluated models.

More evaluations to explore

Related benchmarks in the same category

View all math
GPQA

A challenging dataset of 448 multiple-choice questions written by domain experts in biology, physics, and chemistry. Questions are Google-proof and extremely difficult, with PhD experts reaching 65% accuracy.

reasoning
226 models
MMLU-Pro

A more robust and challenging multi-task language understanding benchmark that extends MMLU by expanding multiple-choice options from 4 to 10, eliminating trivial questions, and focusing on reasoning-intensive tasks. Features over 12,000 curated questions across 14 domains and causes a 16-33% accuracy drop compared to original MMLU.

math
129 models
AIME 2025

All 30 problems from the 2025 American Invitational Mathematics Examination (AIME I and AIME II), testing olympiad-level mathematical reasoning with integer answers from 000-999. Used as an AI benchmark to evaluate large language models' ability to solve complex mathematical problems requiring multi-step logical deductions and structured symbolic reasoning.

math
113 models
SWE-Bench Verified

A verified subset of 500 software engineering problems from real GitHub issues, validated by human annotators for evaluating language models' ability to resolve real-world coding issues by generating patches for Python codebases.

reasoning
101 models
MMLU

Massive Multitask Language Understanding benchmark testing knowledge across 57 diverse subjects including STEM, humanities, social sciences, and professional domains

math
100 models
Humanity's Last Exam

Humanity's Last Exam (HLE) is a multi-modal academic benchmark with 2,500 questions across mathematics, humanities, and natural sciences, designed to test LLM capabilities at the frontier of human knowledge with unambiguous, verifiable solutions

mathmultimodal
85 models