Contested
Erdős problem #851: confusion with another problem noted by the wiki, partial results found in the literature (ChatGPT Deep research, Claude, Gemini Deep Research)
The gist
According to the wiki on AI contributions to Erdős problems, ChatGPT Deep research, Claude and Gemini Deep Research ran a literature search on problem #851, announced on February 5, 2026.
DiscoverIA status on October 12, 2026: contested, meaning sourced public objection, with no established refutation.
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
The status has changed 1 times since Oct 12, 2026: a citation always points to a dated snapshot. Cite an earlier snapshot
Cite snapshot 2, Oct 12, 2026
APA citation with the dated link
BibTeX @misc, key discoveria-erdos-851-chatgpt-deep-research-claude-gemini-deep-2a-r2
@misc{discoveria-erdos-851-chatgpt-deep-research-claude-gemini-deep-2a-r2,
author = {{DiscoverIA}},
title = {Erdős problem #851: confusion with another problem noted by the wiki, partial results found in the literature (ChatGPT Deep research, Claude, Gemini Deep Research)},
howpublished = {DiscoverIA registry, entry erdos-851-chatgpt-deep-research-claude-gemini-deep-2a},
note = {Status “Contested”, snapshot 2, recorded on October 12, 2026. Literature search},
year = {2026},
url = {https://discoveria.ai/entry/erdos-851-chatgpt-deep-research-claude-gemini-deep-2a#releve-2},
urldate = {2026-10-12}
}Dated link opens this snapshot in the history
To understand ≈ 20 s reading time, estimated
What it changes
The wiki files this contribution among literature searches (a secondary contribution): it reportedly found partial results on problem #851, a number theory question.
What remains unclear
The wiki itself flags both partial results and incorrect work, a confusion with another problem, without saying which part or which of the three tools is concerned. The wiki has been frozen since June 30, 2026, so an update published since then would not appear there.
For experts
Sources, method, key facts, status history, report an error
Status
Contested
Recorded on · github.com · wiki
Outside the verification path
What this status means
Source reading : Source read word for word (level 3 of 3)
Sourced public objection, with no established refutation.
It stays “Contested” until a refutation is established. It would become “Withdrawn” if its author withdrew it or the reference source marked it incorrect.
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 2(a), “Literature search” (secondary contribution). Humans named by the wiki: none; AI systems: ChatGPT Deep research, Claude, Gemini Deep Research. Date given by the wiki: February 5, 2026. Exact text: “Confused with another problem; Partial results found”; flag (“progrès partiel (légende du wiki) ; 🔴 travail incorrect”, according to the wiki's legend). On this line the wiki combines a partial result with a part marked incorrect. 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): proved, answered in the affirmative (informal_status=proved); 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/851. DiscoverIA status: contested (a sourced public objection exists, with no established refutation). Recorded on October 12, 2026. History: 2 dated observations, oldest first.
Limits
DiscoverIA has not checked this contribution itself.
Key facts
- Claimed by
- ChatGPT Deep research, Claude, Gemini Deep Research, according to the AI-Erdős wiki
announced on Feb 5, 2026 - Nature
- literature search
- Field
- Mathematics (Erdős problem #851 (number theory))
- Wiki category
- Literature search (contribution secondaire : recherche bibliographique)
- Wiki verdict
- « Confused with another problem; Partial results found » : 🟡 progrès partiel (légende du wiki) ; travail incorrect (légende du wiki)
- Checked by
- no verifier identified
- Sources
- 4 : 3 read word for word, 1 link only
- This entry
- AI draft, not reviewed
Status history
Most recent first; each observation is numbered in the order it was recorded.
- 02
Not evaluatedbecomesContestedCurrent status
reclassified from not evaluated to contested based on the wiki's text
Source: github.comread word for word
An observation is added; none is ever erased.
Cite an earlier snapshot
These snapshots no longer give the current status. Cite them only to date a past state.
Cite snapshot 1, Oct 12, 2026
Not evaluated status superseded on Oct 12, 2026
APA citation with the dated link
BibTeX @misc, key discoveria-erdos-851-chatgpt-deep-research-claude-gemini-deep-2a-r1
@misc{discoveria-erdos-851-chatgpt-deep-research-claude-gemini-deep-2a-r1,
author = {{DiscoverIA}},
title = {Erdős problem #851: confusion with another problem noted by the wiki, partial results found in the literature (ChatGPT Deep research, Claude, Gemini Deep Research)},
howpublished = {DiscoverIA registry, entry erdos-851-chatgpt-deep-research-claude-gemini-deep-2a},
note = {Status “Not evaluated”, snapshot 1, recorded on October 12, 2026. Literature search},
year = {2026},
url = {https://discoveria.ai/entry/erdos-851-chatgpt-deep-research-claude-gemini-deep-2a#releve-1},
urldate = {2026-10-12}
}Dated link opens this snapshot in the history
In the same set
AI contributions to Erdős problems (wiki by T. Tao, frozen on June 30, 2026) · entry 337 of 521, by problem number
- Withdrawn : Erdős problem #848: proof judged incorrect by the wiki (Claude Opus 4.6, GPT-5.4)
- Not evaluated : Erdős problem #848: explicit bound and partial result on a variant problem according to the wiki (Gemini 3.1 Pro, GPT-5.2 Thinking, GPT-5.4 Thinking)
- Not evaluated : Erdős problem #848: full solution according to the wiki (GPT-5)
- Contested : Erdős problem #851: confusion with another problem noted by the wiki, partial results found in the literature (ChatGPT Deep research, Claude, Gemini Deep Research)
- Not evaluated : Erdős problem #851: full solution building upon Romanoff (1934) according to the wiki (GPT-5.2 Pro)
- Not evaluated : Erdős problem #852: partial result according to the wiki (GPT-5.4)
- Not evaluated : Erdős problem #852: candidate partial result according to the wiki (GPT-5.5 Pro)
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