Contested
Erdős problem #1041: argument judged by the wiki to have major gaps (Claude Opus 4.6, Gemini 3.1 Pro, GPT-5.4)
The gist
According to the wiki of AI contributions to Erdős problems, shtuka reportedly proposed, with Claude Opus 4.6, Gemini 3.1 Pro and GPT-5.4, an argument for problem #1041 between March 17 and 24, 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-1041-claude-opus-4-6-gemini-3-1-pro-gpt-5-4-1d-r2
@misc{discoveria-erdos-1041-claude-opus-4-6-gemini-3-1-pro-gpt-5-4-1d-r2,
author = {{DiscoverIA}},
title = {Erdős problem #1041: argument judged by the wiki to have major gaps (Claude Opus 4.6, Gemini 3.1 Pro, GPT-5.4)},
howpublished = {DiscoverIA registry, entry erdos-1041-claude-opus-4-6-gemini-3-1-pro-gpt-5-4-1d},
note = {Status “Contested”, snapshot 2, recorded on October 12, 2026. New result},
year = {2026},
url = {https://discoveria.ai/entry/erdos-1041-claude-opus-4-6-gemini-3-1-pro-gpt-5-4-1d#releve-2},
urldate = {2026-10-12}
}Dated link opens this snapshot in the history
To understand ≈ 20 s reading time, estimated
What it changes
According to the wiki, the argument put forward for problem #1041, an analysis question about polynomials, has major gaps. As it stands, it would therefore not amount to a complete solution.
What remains unclear
The judgement comes from the wiki's maintainers, with no second opinion recorded. The sources read do not say where the gaps are or whether any has been filled; the wiki has been frozen since June 30, 2026, so a later addition 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 It would become “Withdrawn” if its author withdrew it or the reference source marked it incorrect.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 1(d), “AI collaborating with humans” (significant human involvement). Humans named by the wiki: shtuka; AI systems: Claude Opus 4.6, Gemini 3.1 Pro, GPT-5.4. Dates given by the wiki: “17-24 Mar, 2026”. Exact text: “Argument with major gaps made”; 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 counterexample would disprove it if it is false (informal_status=falsifiable); 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/1041. 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
- shtuka with Claude Opus 4.6, Gemini 3.1 Pro, GPT-5.4, according to the AI-Erdős wiki
announced on Mar 17, 2026 - Nature
- new result
- Field
- Mathematics (Erdős problem #1041 (analysis ; polynomials))
- Wiki category
- AI collaborating with humans (IA en collaboration avec des humains ; implication humaine significative)
- Wiki verdict
- « Argument with major gaps made » : 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
Most recent first; each observation is numbered in the order it was recorded.
- 02
WithdrawnbecomesContestedCurrent status
reclassified from withdrawn to contested based on the wiki's text
Source: github.comread word for word
- 01
First observation:Withdrawn
marked incorrect by the wiki (red flag, “Incorrect work”)
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
Withdrawn status superseded on Oct 12, 2026
marked incorrect by the wiki (red flag, “Incorrect work”)
APA citation with the dated link
BibTeX @misc, key discoveria-erdos-1041-claude-opus-4-6-gemini-3-1-pro-gpt-5-4-1d-r1
@misc{discoveria-erdos-1041-claude-opus-4-6-gemini-3-1-pro-gpt-5-4-1d-r1,
author = {{DiscoverIA}},
title = {Erdős problem #1041: argument judged by the wiki to have major gaps (Claude Opus 4.6, Gemini 3.1 Pro, GPT-5.4)},
howpublished = {DiscoverIA registry, entry erdos-1041-claude-opus-4-6-gemini-3-1-pro-gpt-5-4-1d},
note = {Status “Withdrawn”, snapshot 1, recorded on October 12, 2026. New result},
year = {2026},
url = {https://discoveria.ai/entry/erdos-1041-claude-opus-4-6-gemini-3-1-pro-gpt-5-4-1d#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 437 of 521, by problem number
- Not evaluated : Erdős problem #1039: formalisation by Codex, GPT-5.5 (proof: GPT-5.5 Pro (2026))
- Not evaluated : Erdős problem #1039: partial result according to the wiki (GPT-5.5 Pro)
- Contested : Erdős problem #1040: solution to one part of the problem, the other part judged incorrect by the wiki (Aletheia)
- Contested : Erdős problem #1041: argument judged by the wiki to have major gaps (Claude Opus 4.6, Gemini 3.1 Pro, GPT-5.4)
- Contested : Erdős problem #1041: argument judged by the wiki to have major gaps (GPT-5.4 Thinking)
- Not evaluated : Erdős problem #1043: new proof in Lean according to the wiki (Aristotle)
- Not evaluated : Erdős problem #1043: new proof according to the wiki (GPT)
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