· Sep 1, 2026
Epoch AI introduces FrontierMath Erdős to measure AI math capabilities
Markdown · JSON · Original source
published this announcement on September 1, 2026, introducing FrontierMath Erdős as a more rigorous way to use Erdős problems to track AI math capabilities. Mathematician Thomas Bloom selected problems he considered significant and difficult; Epoch AI acknowledges that this curation is subjective. The uses , a specialized programming language for expressing mathematical proofs, to check solutions programmatically, and makes its code and problem list public to support transparency and replicability. In the fixed-protocol run, only GPT-6 Astra solved problems, producing verified results on 2 of the 68; Epoch AI says this reflects a particular scaffold and budget, not the chance of solving any arbitrary open problem. Separate, less systematic attempts produced additional solutions but do not count toward the benchmark score. Across all attempts, they cost over $220,000 in compute, compared with roughly $20,000 for the benchmark run. Epoch AI describes breakthroughs on this list as real but still fairly uncommon. It says Erdős problems are not a sample of all mathematics, and concludes that mathematicians must examine the of the solutions before their significance can be assessed.
Headline and summary by Escape Meridian, prepared by Luna from the attributed source. A source check is not independent confirmation of the source’s claims.
Original source
· Article
Source details
Original source date: Sep 1, 2026 (2026-09-01T00:00:00.000Z).
Date basis: Date supplied by the publisher’s feed.
Added to Escape Meridian: 2026-11-06T05:13:26.199Z. First observed: 2026-10-18T02:55:25.225Z. Retrieved: 2026-10-24T03:13:39.708Z.
Referenced by
Recorded citations and public file attachments. A reference alone does not establish agreement or influence.
No public references recorded here yet.
Limits
Text as retrieved on October 24, 2026; originally published September 1, 2026. The 's selected problems are a subjective subset of Erdős problems, and says Erdős problems are not a sample from all fields of mathematics. Epoch AI says additional expert review of some formalizations is being sought; it notes that errors may exist. The initial results reflect a fixed benchmark protocol; separate attempts used larger budgets and varied agent setups, so they are not directly comparable benchmark scores.
Open question
What will mathematicians conclude about the and significance of the five solutions after examining them?
Source-stated
Epoch AI says FrontierMath Erdős aims to add rigor to the use of Erdős problems for measuring AI math capabilities.
With our new math benchmark, FrontierMath Erdős, we aim to add some rigor when it comes to using Erdős problems to measure AI math capabilities.
Source-stated
Thomas Bloom selected 68 unsolved Erdős problems he considered mathematically significant and difficult; Epoch AI says this selection is highly subjective.
He selected 68, all open as of August 2026 and about 10% of the unsolved problems at that time. This approach is highly subjective
Source-stated
In the benchmark run, only GPT-6 Astra solved problems, producing verified results on 2 of 68 problems; the other four models solved none.
Only GPT-6 Astra solved anything: 2 of the 68 problems.
Source-stated
Epoch AI says its separate attempts with GPT-6 Astra are not benchmark results and reports five problems solved at least once across all attempts, at a compute cost exceeding $220,000.
Across all attempts, GPT-6 Astra solved 5 of the 68 problems at least once: the two above, plus problem 1, which it disproved, and problem 548 and problem 571, which it proved. Most of the remaining problems were attempted between two and six times in total (269 attempts), and none was solved. Rea
Source-stated
Epoch AI concludes that AI-driven math breakthroughs on this list are real but still fairly uncommon, and says the benchmark is not a sample of all mathematics.
This provides a useful data point on the prevalence of AI-driven math breakthroughs: real but still fairly uncommon.
Source and contributor context
Epoch AI · Publisher
The publisher is identified here. No individual author has been inferred.
Source media
Media retrieval status: unchecked.
Terms and references
Reference context selected by Escape Meridian; separate from source evidence. Entity mentions do not establish authorship, involvement or endorsement.
Benchmark
A defined set of tests used to compare systems. Results depend on the tasks and measures selected.
Epoch AI
Epoch AI studies trends in AI capability, training resources and the infrastructure behind them.
Lean
Lean is a programming language and proof assistant used to express mathematical statements and check formal proofs.
Nature
Nature publishes research, news, and commentary across the sciences.
Editorial provenance
Version 1. Publication ID: 63543660-4cd6-d9ff-7adf-e4a267e1634d.
Prepared by openai/gpt-6-luna; grounding review by anthropic/claude-opus-5.5.
Source check: uncertain by anthropic/claude-opus-5.5 on 2026-11-06T05:08:50.160Z. This checks fidelity to the source, not whether its claims are independently true.
Editorial selection: accept; reasons: bridge_admitted_by_model, second_opinion_categorical.
Observation: 1089dddc5558dffa1c99ede34f4287156a960a6e2f8fbe6e1728e9ff563d52be. Source text hash: 87d3f83175f07770da5a43f5bb8f8dc602f32690b9c78a86ca02ef6d28fb23fa.
Revision and source-check history
Version 1 · 2026-11-06T05:13:26.199Z
Epoch AI introduces FrontierMath Erdős to measure AI math capabilities
published this announcement on September 1, 2026, introducing FrontierMath Erdős as a more rigorous way to use Erdős problems to track AI math capabilities. Mathematician Thomas Bloom selected problems he considered significant and difficult; Epoch AI acknowledges that this curation is subjective. The uses , a specialized programming language for expressing mathematical proofs, to check solutions programmatically, and makes its code and problem list public to support transparency and replicability. In the fixed-protocol run, only GPT-6 Astra solved problems, producing verified results on 2 of the 68; Epoch AI says this reflects a particular scaffold and budget, not the chance of solving any arbitrary open problem. Separate, less systematic attempts produced additional solutions but do not count toward the benchmark score. Across all attempts, they cost over $220,000 in compute, compared with roughly $20,000 for the benchmark run. Epoch AI describes breakthroughs on this list as real but still fairly uncommon. It says Erdős problems are not a sample of all mathematics, and concludes that mathematicians must examine the of the solutions before their significance can be assessed.
Original source
· Article
Source details
Original source date: Sep 1, 2026 (2026-09-01T00:00:00.000Z).
Date basis: Date supplied by the publisher’s feed.
Added to Escape Meridian: 2026-11-06T05:13:26.199Z. First observed: 2026-10-18T02:55:25.225Z. Retrieved: 2026-10-24T03:13:39.708Z.
Limits
Text as retrieved on October 24, 2026; originally published September 1, 2026. The 's selected problems are a subjective subset of Erdős problems, and says Erdős problems are not a sample from all fields of mathematics. Epoch AI says additional expert review of some formalizations is being sought; it notes that errors may exist. The initial results reflect a fixed benchmark protocol; separate attempts used larger budgets and varied agent setups, so they are not directly comparable benchmark scores.
Open question
What will mathematicians conclude about the and significance of the five solutions after examining them?
Source-stated
Epoch AI says FrontierMath Erdős aims to add rigor to the use of Erdős problems for measuring AI math capabilities.
With our new math benchmark, FrontierMath Erdős, we aim to add some rigor when it comes to using Erdős problems to measure AI math capabilities.
Source-stated
Thomas Bloom selected 68 unsolved Erdős problems he considered mathematically significant and difficult; Epoch AI says this selection is highly subjective.
He selected 68, all open as of August 2026 and about 10% of the unsolved problems at that time. This approach is highly subjective
Source-stated
In the benchmark run, only GPT-6 Astra solved problems, producing verified results on 2 of 68 problems; the other four models solved none.
Only GPT-6 Astra solved anything: 2 of the 68 problems.
Source-stated
Epoch AI says its separate attempts with GPT-6 Astra are not benchmark results and reports five problems solved at least once across all attempts, at a compute cost exceeding $220,000.
Across all attempts, GPT-6 Astra solved 5 of the 68 problems at least once: the two above, plus problem 1, which it disproved, and problem 548 and problem 571, which it proved. Most of the remaining problems were attempted between two and six times in total (269 attempts), and none was solved. Rea
Source-stated
Epoch AI concludes that AI-driven math breakthroughs on this list are real but still fairly uncommon, and says the benchmark is not a sample of all mathematics.
This provides a useful data point on the prevalence of AI-driven math breakthroughs: real but still fairly uncommon.
Source and contributor context
Epoch AI · Publisher
The publisher is identified here. No individual author has been inferred.
Source media
Media retrieval status: unchecked.
Terms and references
Reference context selected by Escape Meridian; separate from source evidence. Entity mentions do not establish authorship, involvement or endorsement.
Benchmark
A defined set of tests used to compare systems. Results depend on the tasks and measures selected.
Epoch AI
Epoch AI studies trends in AI capability, training resources and the infrastructure behind them.
Lean
Lean is a programming language and proof assistant used to express mathematical statements and check formal proofs.
Nature
Nature publishes research, news, and commentary across the sciences.
Editorial provenance
Version 1. Publication ID: 63543660-4cd6-d9ff-7adf-e4a267e1634d.
Prepared by openai/gpt-6-luna; grounding review by anthropic/claude-opus-5.5.
Source check: uncertain by anthropic/claude-opus-5.5 on 2026-11-06T05:08:50.160Z. This checks fidelity to the source, not whether its claims are independently true.
Editorial selection: accept; reasons: bridge_admitted_by_model, second_opinion_categorical.
Observation: 1089dddc5558dffa1c99ede34f4287156a960a6e2f8fbe6e1728e9ff563d52be. Source text hash: 87d3f83175f07770da5a43f5bb8f8dc602f32690b9c78a86ca02ef6d28fb23fa.
uncertain · 2026-11-06T05:08:50.160Z · anthropic/claude-opus-5.5
Publication: 63543660-4cd6-d9ff-7adf-e4a267e1634d
attribution — pass: This is a single Epoch AI publisher-page announcement, not a listing. The reading attributes the benchmark design, Bloom's curation, results and conclusions to Epoch AI or Bloom, and does not present them as established fact.
With our new math benchmark, FrontierMath Erdős, we aim to add some rigor when it comes to using Erdős problems to measure AI math capabilities.
summary — uncertain: The reading is mostly clear, and Lean is explained. However, it reframes the conclusion as "reflects a particular scaffold and budget, not the chance of solving any arbitrary open problem." That reads as a disclaimer and obscures the source's actual point: AI does not yet have a high chance of solving an arbitrary problem of this caliber, at least when the result must be formalized within $300. "Scaffold" is also unexplained. Smallest repair: state that, in this scaffold at this budget, the result suggests AI's chance on an arbitrary problem of this caliber is not yet high.
it is not yet the case that AI has a particularly high chance of solving an arbitrary such problem — at least not if it has to formalize the result within a budget of $300 per problem
date — pass: The reading gives September 1, 2026, which is the UTC calendar day of the instant originalPublished. The source's August 2026 references are consistent with that date. Forecasts, such as waiting for mathematicians' commentary, are not presented as outcomes, and no hindsight is used.
no solution to any of the 68 problems was known as of August 2026
support — uncertain: Most claims match the source: 68 problems, 2 of 68 solved in the benchmark run, 5 solved across all attempts, over $220,000 versus roughly $20,000, and "real but still fairly uncommon." Two passages drift. First, "any arbitrary open problem" broadens the source's "arbitrary such problem" and drops the $300 formalization condition. Second, saying Epoch AI "concludes that mathematicians must examine the nature of the solutions before their significance can be assessed" overstates the source, which says only that the solutions' nature will be informative and that it will wait for mathematicians' comments.
The nature of the AI solutions to these five problems will also be informative. For that, we’ll have to wait for mathematicians to digest and comment on the results.
media — pass: No media was selected and none was supplied or verified, so nothing is misidentified or irrelevant.
Challenge or correct this reading
Send a correction or an opposing source with this reading’s URL. Disagreement and uncertainty can remain unresolved.
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Definition referenceLean is a programming language and proof assistant used to express mathematical statements and check formal proofs.
Explore LeanNature publishes research, news, and commentary across the sciences.
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Explore Epoch AIA defined set of tests used to compare systems. Results depend on the tasks and measures selected.
Definition referenceEpoch AI studies trends in AI capability, training resources and the infrastructure behind them.
Explore Epoch AILean is a programming language and proof assistant used to express mathematical statements and check formal proofs.
Explore LeanNature publishes research, news, and commentary across the sciences.
Explore NatureEpoch AI studies trends in AI capability, training resources and the infrastructure behind them.
Explore Epoch AIA defined set of tests used to compare systems. Results depend on the tasks and measures selected.
Definition referenceLean is a programming language and proof assistant used to express mathematical statements and check formal proofs.
Explore LeanNature publishes research, news, and commentary across the sciences.
Explore NatureEpoch AI studies trends in AI capability, training resources and the infrastructure behind them.
Explore Epoch AIA defined set of tests used to compare systems. Results depend on the tasks and measures selected.
Definition referenceEpoch AI studies trends in AI capability, training resources and the infrastructure behind them.
Explore Epoch AILean is a programming language and proof assistant used to express mathematical statements and check formal proofs.
Explore LeanNature publishes research, news, and commentary across the sciences.
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