Erdős problem #686: various partial results according to the wiki (AlphaProof, Claude, Gemini Deep Think, GPT-5.2 Thinking, GPT-5.4 Thinking, Seed 2.0 Pro)

Status

Not evaluated

Recorded on Oct 12, 2026 · github.com

Aug 9, 2025Announced
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 #686 as “Various partial results”.

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 #686: various partial results according to the wiki (AlphaProof, Claude, Gemini Deep Think, GPT-5.2 Thinking, GPT-5.4 Thinking, Seed 2.0 Pro) [Status : Not evaluated, snapshot 1]. DiscoverIA registry. https://discoveria.ai/en/fiche/erdos-686-alphaproof-claude-gemini-deep-think-gpt-5-2-1d/#releve-1

BibTeX @misc, key discoveria-erdos-686-alphaproof-claude-gemini-deep-think-gpt-5-2-1d-r1

@misc{discoveria-erdos-686-alphaproof-claude-gemini-deep-think-gpt-5-2-1d-r1,
  author       = {{DiscoverIA}},
  title        = {Erdős problem #686: various partial results according to the wiki (AlphaProof, Claude, Gemini Deep Think, GPT-5.2 Thinking, GPT-5.4 Thinking, Seed 2.0 Pro)},
  howpublished = {DiscoverIA registry, entry erdos-686-alphaproof-claude-gemini-deep-think-gpt-5-2-1d},
  note         = {Status « Not evaluated », snapshot 1, recorded on October 12, 2026. new result},
  year         = {2026},
  url          = {https://discoveria.ai/en/fiche/erdos-686-alphaproof-claude-gemini-deep-think-gpt-5-2-1d/#releve-1},
  urldate      = {2026-10-12}
}

Dated link opens this snapshot in the history

https://discoveria.ai/en/fiche/erdos-686-alphaproof-claude-gemini-deep-think-gpt-5-2-1d/#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: Adenwalla, Stijn Cambie, Wouter van Doorn, Vjekoslav Kovač, Miklos, Nat Sothanaphan, Quanyu Tang, Terence Tao, vilc, un contributeur humain avec AlphaProof, Claude, Gemini Deep Think, GPT-5.2 Thinking, GPT-5.4 Thinking, Seed 2.0 Pro, selon le wiki IA d'Erdős (Name replaced by a role)
announced on Aug 9, 2025
Nature: new result
Field: Mathematics (Erdős problem #686 (number theory))
Wiki category: AI collaborating with humans (IA en collaboration avec des humains ; implication humaine significative)
Wiki verdict: « Various partial results » : 🟡 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

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

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 278 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.