Not evaluated
AlphaEvolve: mathematical exploration and discovery on 67 problems
Mathematical exploration and discovery at scale: 67 problems with AlphaEvolve
The gist
Georgiev, Gómez-Serrano, Tao and Wagner posted an arXiv preprint on November 3, 2025 covering 67 mathematics problems explored with AlphaEvolve (analysis, combinatorics, geometry, number theory); no DiscoverIA status yet.
DiscoverIA status on October 11, 2026: not evaluated, meaning no third-party evaluation found.
AI draft, not reviewedWhat has not been reviewed?
Text written by an AI (DiscoverIA pipeline), on . The status and its sources come from the registry; only the explanatory text has not been reviewed. A reported error is corrected, then the text is reviewed.
Cite this entry
A single status snapshot since Oct 11, 2026: a citation always points to a dated snapshot.
Cite snapshot 1, Oct 11, 2026
APA citation with the dated link
BibTeX @misc, key discoveria-alphaevolve-67-problems-r1
@misc{discoveria-alphaevolve-67-problems-r1,
author = {{DiscoverIA}},
title = {Mathematical exploration and discovery at scale: 67 problems with AlphaEvolve},
howpublished = {DiscoverIA registry, entry alphaevolve-67-problems},
note = {Status “Not evaluated”, snapshot 1, recorded on October 11, 2026. New result},
year = {2026},
url = {https://discoveria.ai/entry/alphaevolve-67-problems#releve-1},
urldate = {2026-10-11}
}Dated link opens this snapshot in the history
To understand ≈ 20 s reading time, estimated
What it changes
If the results hold, this work would give an overview of what AlphaEvolve can contribute across 67 problems from several areas of mathematics, rather than a single isolated example. The constructions can be checked by program.
What remains unclear
The text is a preprint: no journal reference was found on the arXiv page (versions of November 3 and December 22, 2025). The constructions were checked by the authors themselves, including T. Tao, not by a named third party. This entry does not detail the results problem by problem.
Read the paper
Mathematical exploration and discovery at scale
What it establishes : The authors test AlphaEvolve, an agent that evolves programs searching for constructions, on 67 problems: it finds the best known solution in most cases and improves on it in several.
Where to start : The abstract and Sections 1 to 5, which need no background, then Section 6, split into self-contained subsections (6.1 to 6.65), for example 6.8 for the kissing number.
Written by an AI · reviewed by a human
For experts
Sources, method, key facts, status history, report an error
Status
Not evaluated
Recorded on · arxiv.org
Step 1 of 4 on the scale: not evaluated. Next step: under review.
- Announced
- Recordednot evaluated
- nextTo follow
What this status means
Source reading : Source read through an AI summary (level 2 of 3)
The result is declared neither right nor wrong.
To move to “Under review”: a public review under way. To “Peer reviewed”: a journal publication or a review by named experts.
Sources
- Main sourcearxiv.orgpage read through an AI summary
Method
DiscoverIA status: not evaluated, meaning that no third-party evaluation has been found in the sources read. Set on October 11, 2026 from arxiv.org (page read through a model summary, quotation not rechecked).
Limits
The status source was read through a model summary; its quotation was not rechecked. DiscoverIA has not checked this result itself.
Key facts
- Claimed by
- Georgiev, Gómez-Serrano, Tao, Wagner (with AlphaEvolve)
announced on Nov 3, 2025 - Nature
- new result
- Field
- Mathematics
- Checked by
- authors (including T. Tao)
- Sources
- 1 : 1 through an AI summary
- This entry
- AI draft, not reviewed
Status history
Only one observation so far.
- 01
First observation:Not evaluatedCurrent status
no journal reference found on the arXiv page
Source: arxiv.orgread through an AI summary
An observation is added; none is ever erased.
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