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arXiv — NLP / Computation & Language · · 3 min read

FrontierMath Erd\H{o}s

#paper #benchmark

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Computer Science > Computation and Language

arXiv:2609.25050 (cs)
[Submitted on 6 Sep 2026]

Title:FrontierMath Erdős

Authors:Tom Adamczewski (Epoch AI), Thomas F. Bloom (University of Manchester)
View a PDF of the paper titled FrontierMath Erd\H{o}s, by Tom Adamczewski (Epoch AI) and 1 other authors
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Abstract:We introduce FrontierMath Erdős (FME), a benchmark of 68 Erdős problems that are open as of August 2026. To solve a task in FME, AI systems must resolve (prove or disprove) one of the 68 conjectures in the proof assistant Lean. Our 68 problems were selected by the second author among 652 open problems on this http URL for their mathematical interest and difficulty. AIs have recently resolved several open problems in mathematics, but these demonstrations fall short of a systematic study of AI capabilities. FME evaluates every AI model on the same fixed problems, autonomously and under the same budget. We evaluated five AIs with a budget of \$300 per problem. One (GPT-6 Astra) scored 3%, and all others scored 0%.
Subjects: Computation and Language (cs.CL); Artificial Intelligence (cs.AI)
Cite as: arXiv:2609.25050 [cs.CL]
  (or arXiv:2609.25050v1 [cs.CL] for this version)
  https://doi.org/10.48550/arXiv.2609.25050
arXiv-issued DOI via DataCite

Submission history

From: Thomas Adamczewski [view email]
[v1] Sun, 6 Sep 2026 10:32:55 UTC (26 KB)
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