Erdős problem #1054: partial result with a Lean proof according to the wiki (Claude Opus 4.8, GPT-5.5 Pro, Principia Math)

Status

Not evaluated

Recorded on Oct 12, 2026 · github.com

Jun 22, 2026Announced
Jun 30, 2026Wiki frozen
Oct 12, 2026Recordednot evaluated
nextTo follow

What this status means

Source reading : Source read word for word (level 3 of 3)

No DiscoverIA status yet; this does not mean nobody has checked it.

To move to “Under review”: a public review under way. To “Peer reviewed”: a journal publication or a review by named experts.

Dated archive: status recorded on the wiki frozen on Jun 30, 2026

Full history

The gist

The “AI contributions to Erdős problems” wiki, frozen on 30 June 2026, lists an AI contribution to Erdős problem #1054 as “Partial result (Lean)”.

Follow Report

Cite this entry

A single status snapshot since Oct 12, 2026: a citation always points to a dated snapshot.

Cite snapshot 1, Oct 12, 2026

APA citation with the dated link

DiscoverIA. (2026, October 12,). Erdős problem #1054: partial result with a Lean proof according to the wiki (Claude Opus 4.8, GPT-5.5 Pro, Principia Math) [Status : Not evaluated, snapshot 1]. DiscoverIA registry. https://discoveria.ai/en/fiche/erdos-1054-claude-opus-4-8-gpt-5-5-pro-principia-math-1a/#releve-1

BibTeX @misc, key discoveria-erdos-1054-claude-opus-4-8-gpt-5-5-pro-principia-math-1a-r1

@misc{discoveria-erdos-1054-claude-opus-4-8-gpt-5-5-pro-principia-math-1a-r1,
  author       = {{DiscoverIA}},
  title        = {Erdős problem #1054: partial result with a Lean proof according to the wiki (Claude Opus 4.8, GPT-5.5 Pro, Principia Math)},
  howpublished = {DiscoverIA registry, entry erdos-1054-claude-opus-4-8-gpt-5-5-pro-principia-math-1a},
  note         = {Status « Not evaluated », snapshot 1, recorded on October 12, 2026. new result},
  year         = {2026},
  url          = {https://discoveria.ai/en/fiche/erdos-1054-claude-opus-4-8-gpt-5-5-pro-principia-math-1a/#releve-1},
  urldate      = {2026-10-12}
}

Dated link opens this snapshot in the history

https://discoveria.ai/en/fiche/erdos-1054-claude-opus-4-8-gpt-5-5-pro-principia-math-1a/#releve-1

Text produced by an automatic template (DiscoverIA pipeline), on Oct 12, 2026Reviewed 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.

Key facts

Claimed by: Claude Opus 4.8, GPT-5.5 Pro, Principia Math, selon le wiki IA d'Erdős
announced on Jun 22, 2026
Nature: new result
Field: Mathematics (Erdős problem #1054 (number theory ; divisors))
Wiki category: AI standalone (IA seule ; littérature comparable inconnue ; implication humaine non significative)
Wiki verdict: « Partial result (Lean) » : 🟡 progrès partiel (légende du wiki)
According to erdosproblems.com: problem still open (recorded on Oct 12, 2026)
Checked by: no verifier identified
Sources (domains): 2 : 1 read word for word, 1 links only
Part of: AI contributions to Erdős problems (wiki by T. Tao, frozen on 30 June 2026)
This entry: AI draft, not reviewed

For experts

Proofs: Preuve Lean indiquée par le wiki, vérificateur tiers non nommé

Sources(domains)

primairegithub.compage read word for word · consulted on Oct 12, 2026
listeerdosproblems.comlink only, reading not recorded

Method

Status “not evaluated” recorded on 12 October 2026 from github.com (page read, quotation checked word for word).

Limits

A Lean proof supplied by the claimant does not count as formal verification by a third party. DiscoverIA has recorded no independent evaluation as of this date.

In the same set

AI contributions to Erdős problems (wiki by T. Tao, frozen on 30 June 2026) · entry 448 of 521, by problem number

See all 521 entries

Status history

Only one observation so far.

01Oct 12, 2026
First observation:Not evaluatedCurrent status
Source: github.comread word for word

An observation is added; none is ever erased.