Withdrawn
Erdős problem #647: proof judged incorrect by the wiki (ChatGPT Deep research, DeepSeek DeepThink, Gemini)
The gist
A proof of Erdős problem #647, dated January 28, 2026 and attributed to ChatGPT Deep research, DeepSeek DeepThink and Gemini, was classed as incorrect by the wiki on AI contributions.
DiscoverIA status on October 12, 2026: withdrawn, meaning withdrawn or abandoned by its author, or marked incorrect by the reference source.
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 12, 2026: a citation always points to a dated snapshot.
Cite snapshot 1, Oct 12, 2026
APA citation with the dated link
BibTeX @misc, key discoveria-erdos-647-chatgpt-deep-research-deepseek-deepthink-1a-r1
@misc{discoveria-erdos-647-chatgpt-deep-research-deepseek-deepthink-1a-r1,
author = {{DiscoverIA}},
title = {Erdős problem #647: proof judged incorrect by the wiki (ChatGPT Deep research, DeepSeek DeepThink, Gemini)},
howpublished = {DiscoverIA registry, entry erdos-647-chatgpt-deep-research-deepseek-deepthink-1a},
note = {Status “Withdrawn”, snapshot 1, recorded on October 12, 2026. New result},
year = {2026},
url = {https://discoveria.ai/entry/erdos-647-chatgpt-deep-research-deepseek-deepthink-1a#releve-1},
urldate = {2026-10-12}
}Dated link opens this snapshot in the history
To understand ≈ 20 s reading time, estimated
What it changes
Erdős problem #647 belongs to number theory. According to the wiki, the proof put forward by these AI tools, without significant human involvement, is incorrect: it therefore does not count as a solution, but the entry keeps a record of the attempt.
What remains unclear
The sources read identify neither the error found in the proof nor the respective role of the three tools in this attempt. The wiki has been frozen since June 30, 2026, so a reassessment published since then would not appear there.
For experts
Sources, method, key facts, status history, report an error
Status
Withdrawn
Recorded on · github.com · wiki
Outside the verification path
- Announced
- Wiki frozen
- Recordedwithdrawn
What this status means
Source reading : Source read word for word (level 3 of 3)
Withdrawn or abandoned by its author, or marked incorrect by the reference source.
Dated archive: status recorded on the wiki frozen on Jun 30, 2026
Sources
- Main sourcegithub.com · wikipage read word for word · consulted on Oct 12, 2026
- Reference listerdosproblems.comlink only, reading not recorded
- Corroborationterrytao.wordpress.compage read word for word · consulted on Oct 17, 2026 ·
We have created a github repository to coordinate this process
- Repositorygithub.com · CONTRIBUTING.mdpage read word for word · consulted on Oct 17, 2026 ·
this status is an unofficial crowdsourced classification of the problem
Method
Source: the “AI contributions to Erdős problems” wiki of the teorth/erdosproblems repository (a repository presented by Terence Tao in his blog post of August 31, 2025); frozen on June 30, 2026 (commit c8ad430, “freeze”) and read on October 12, 2026 in the git repository. Category 1(a), “AI standalone” (AI alone; no comparable literature known; no significant human involvement). Humans named by the wiki: none; AI systems: ChatGPT Deep research, DeepSeek DeepThink, Gemini. Date given by the wiki: January 28, 2026. Exact text: “Incorrect proof found”; red flag (“incorrect work”, according to the wiki's legend). Literature cited by the wiki: none. Status of the problem in the teorth/erdosproblems community database (data/problems.yaml, unofficial classification, snapshot of October 12, 2026 with no commit identified, current state, not that of June 2026): open, but a finite example would prove it if it is true (informal_status=verifiable); no formalised solution known (formal_status=unformalized). This status concerns the problem, not this contribution. Problem page not read by DiscoverIA: https://www.erdosproblems.com/647. The DiscoverIA registry also holds an entry that groups several problems, this one included; the two entries may overlap. DiscoverIA status: withdrawn, because the wiki classes this contribution as incorrect (red flag). DiscoverIA has not checked this error itself. Recorded on October 12, 2026.
Limits
DiscoverIA has not checked this contribution itself.
Key facts
- Claimed by
- Not shown (withdrawn entry)
announced on Jan 28, 2026 - Nature
- new result
- Field
- Mathematics (Erdős problem #647 (number theory))
- Wiki category
- AI standalone (IA seule ; littérature comparable inconnue ; implication humaine non significative)
- Wiki verdict
- « Incorrect proof found » : travail incorrect (légende du wiki)
- Checked by
- wiki maintainers (red flag)
- Sources
- 4 : 3 read word for word, 1 link only
- This entry
- AI draft, not reviewed
Status history
Only one observation so far.
- 01
First observation:WithdrawnCurrent status
marked incorrect by the wiki (red flag, “Incorrect work”)
Source: github.comread word for word
An observation is added; none is ever erased.
In the same set
AI contributions to Erdős problems (wiki by T. Tao, frozen on June 30, 2026) · entry 254 of 521, by problem number
- Not evaluated : Erdős problem #645: formalisation by Aristotle, GPT (proof: Brown and Landman (1999))
- Not evaluated : Erdős problem #645: full solution found in the literature according to the wiki (GPT-5)
- Not evaluated : Erdős problem #646: formalisation by Aristotle (proof: Berend (1997))
- Withdrawn : Erdős problem #647: proof judged incorrect by the wiki (ChatGPT Deep research, DeepSeek DeepThink, Gemini)
- Not evaluated : Erdős problem #648: formalisation by Aristotle (proof: Cambie (2025))
- Not evaluated : Erdős problem #649: formalisation by Aristotle, GPT (proof: Tong; Sampaio)
- Not evaluated : Erdős problem #650: numerical optimization according to the wiki (AlphaEvolve)
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