Contested
Erdős problem #330: partial results found in the literature with inaccuracies noted by the wiki, literature proof not found (ChatGPT Deep research, Claude, Gemini Deep Research)
The gist
A literature search on Erdős problem #330, using ChatGPT Deep research, Claude and Gemini Deep Research, is dated December 19, 2025 by the wiki that tracks these contributions.
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-330-chatgpt-deep-research-claude-gemini-deep-2a-r2
@misc{discoveria-erdos-330-chatgpt-deep-research-claude-gemini-deep-2a-r2,
author = {{DiscoverIA}},
title = {Erdős problem #330: partial results found in the literature with inaccuracies noted by the wiki, literature proof not found (ChatGPT Deep research, Claude, Gemini Deep Research)},
howpublished = {DiscoverIA registry, entry erdos-330-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-330-chatgpt-deep-research-claude-gemini-deep-2a#releve-2},
urldate = {2026-10-12}
}Dated link opens this snapshot in the history
To understand ≈ 30 s reading time, estimated
What it changes
According to the wiki, the search did not find a proof in the literature. Problem #330, a number theory question about additive bases (sets of integers that are added together to produce others), is listed on erdosproblems.com as of October 12, 2026 as proved, with a formalisation in Lean (a language in which a computer checks every step of a proof).
What remains unclear
The wiki's maintainers flagged it in red (“incorrect work”); their comment mentions partial results found with inaccuracies, which the sources read do not detail. They also do not say whether the proof now listed on erdosproblems.com owes anything to this search.
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: December 19, 2025. Exact text: “Partial results found with inaccuracies; literature proof not 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): proved, answered in the affirmative (informal_status=proved); a solution has been formalised in Lean (formal_status=Lean). This status concerns the problem, not this contribution. Problem page not read by DiscoverIA: https://www.erdosproblems.com/330. 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 Dec 19, 2025 - Nature
- literature search
- Field
- Mathematics (Erdős problem #330 (number theory ; additive basis))
- Wiki category
- Literature search (contribution secondaire : recherche bibliographique)
- Wiki verdict
- « Partial results found with inaccuracies; literature proof not 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
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-330-chatgpt-deep-research-claude-gemini-deep-2a-r1
@misc{discoveria-erdos-330-chatgpt-deep-research-claude-gemini-deep-2a-r1,
author = {{DiscoverIA}},
title = {Erdős problem #330: partial results found in the literature with inaccuracies noted by the wiki, literature proof not found (ChatGPT Deep research, Claude, Gemini Deep Research)},
howpublished = {DiscoverIA registry, entry erdos-330-chatgpt-deep-research-claude-gemini-deep-2a},
note = {Status “Withdrawn”, snapshot 1, recorded on October 12, 2026. Literature search},
year = {2026},
url = {https://discoveria.ai/entry/erdos-330-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 111 of 521, by problem number
- Not evaluated : Erdős problem #326: full solution with a Lean proof according to the wiki (Aristotle, Codex, GPT-5.5)
- Not evaluated : Erdős problem #327: candidate partial result according to the wiki (GPT-5.5, Rethlas)
- Not evaluated : Erdős problem #328: formalisation by AxiomProver (proof: Nešetřil and Rödl (1985))
- Contested : Erdős problem #330: partial results found in the literature with inaccuracies noted by the wiki, literature proof not found (ChatGPT Deep research, Claude, Gemini Deep Research)
- Not evaluated : Erdős problem #330: formalisation by Codex and GPT-5.5 Pro (proof: GPT-5.5 Pro and Turturean (2026))
- Not evaluated : Erdős problem #330: full solution according to the wiki (GPT-5.5 Pro)
- Not evaluated : Erdős problem #331: formalisation by Aristotle (proof: Ruzsa)
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