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FunSearch: a 512-element cap set in dimension 8

Status

Peer reviewed

Recorded on · deepmind.google not confirmed

To be confirmed: seen only in a search-engine snippet.

  1. Announced
  2. Recordedpeer reviewed
What this status means

Source reading : Search-engine snippet only (level 1 of 3)

Published in a journal or reviewed by named experts.

Full history

The gist

Google DeepMind announced on 14 December 2023 that FunSearch found a cap set of 512 elements in dimension 8, up from the previous record of 496. Status: peer reviewed, not confirmed.

FollowReport

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

DiscoverIA. (2026, October 11,). FunSearch: a 512-element cap set in dimension 8 [Status : Peer reviewed, snapshot 1]. DiscoverIA registry. https://discoveria.ai/en/fiche/funsearch-capset-2023-12-14/#releve-1

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/en/fiche/funsearch-capset-2023-12-14/#releve-1},
  urldate      = {2026-10-11}
}

Dated link opens this snapshot in the history

https://discoveria.ai/en/fiche/funsearch-capset-2023-12-14/#releve-1

Text written by an AI (DiscoverIA pipeline), on Reviewed by: nobody yetReport an error

What has not been reviewed?

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.

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.

Key facts

Claimed by
Google DeepMind
announced on Dec 14, 2023
Nature
new result
Field
Mathematics (combinatorics)
Checked by
Nature peer review (seen in a search-engine snippet)
Sources (domains)
1 : 1 links only
This entry
AI draft, not reviewed

To understand

Analogy

Like filling a giant grid without ever breaking the rule, the hard part is finding an arrangement better than all earlier ones.

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 peer review is only known from a search summary, without opening the page. No independent verifier or reproduction is listed in the record.

For experts

1 source.

For experts

Proofs
article Nature (SNIPPET), code publié

Sources(domains)

Method

Status “peer reviewed” recorded on 11 October 2026 from deepmind.google (seen only in a search engine snippet).

Limits

This status is not confirmed: it rests on a search engine snippet.

To understand

Like filling a giant grid without ever breaking the rule, the hard part is finding an arrangement better than all earlier ones.

Status history

Only one observation so far.

  1. 01

    First observation:Peer reviewedCurrent statusnot confirmed

    Source: deepmind.googlesearch-engine snippet only

An observation is added; none is ever erased.

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