The gist
Google DeepMind announced on December 14, 2023 that FunSearch found a cap set of 512 elements in dimension 8, up from the previous record of 496. Status: peer reviewed.
DiscoverIA status on October 11, 2026: peer reviewed, meaning published in a journal or reviewed by named experts.
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-funsearch-capset-2023-12-14-r1
@misc{discoveria-funsearch-capset-2023-12-14-r1,
author = {{DiscoverIA}},
title = {FunSearch: a 512-element cap set in dimension 8},
howpublished = {DiscoverIA registry, entry funsearch-capset-2023-12-14},
note = {Status “Peer reviewed”, snapshot 1, recorded on October 11, 2026. New result},
year = {2026},
url = {https://discoveria.ai/entry/funsearch-capset-2023-12-14#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 result holds, an AI would have produced a combinatorics construction larger than the previous known record. The code is published, so others can examine it.
What remains unclear
The Nature article page was opened (“Peer review” section present), but only the abstract was read: the cap set of 512 in dimension 8 was not looked for in the body of the article. No independent verifier or reproduction is listed in the sources read.
In the glossary : Record
For experts
Sources, method, key facts, status history, report an error
Status
Peer reviewed
Recorded on · nature.com
Step 3 of 4 on the scale: peer reviewed. Next step: formally verified.
- Announced
- Recordedpeer reviewed
What this status means
Source reading : Source read word for word (level 3 of 3)
Published in a journal or reviewed by named experts.
Sources
- Main sourcedeepmind.googlelink only, reading not recorded
- Papernature.compage read word for word · consulted on Oct 20, 2026 ·
Mathematical discoveries from program search with large language models
Method
DiscoverIA status: peer reviewed (published in a journal or reviewed by named experts). Set on October 11, 2026; source read on October 20, 2026 from nature.com (page read, quotation checked word for word: “Mathematical discoveries from program search with large language models”).
Limits
The status may change if a new source is published; the dated history stays visible.
Key facts
- Claimed by
- Google DeepMind
announced on Dec 14, 2023 - Nature
- new result
- Field
- Mathematics (combinatorics)
- Checked by
- peer review by the journal Nature (“Peer review” section present)
- Sources
- 2 : 1 read word for word, 1 link only
- This entry
- AI draft, not reviewed
Status history
Only one observation so far.
- 01
First observation:Peer reviewedCurrent status
Nature vol. 625, no. 7995, p. 468; received August 12, 2023, accepted November 30, 2023, published December 14, 2023; “Peer review” section present.
Source: nature.comread word for word
An observation is added; none is ever erased.
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