Not evaluated
Erdős problem #330: formalisation by Codex and GPT-5.5 Pro (proof: GPT-5.5 Pro and Turturean (2026))
The gist
According to the Erdős AI wiki, Codex and GPT-5.5 Pro are credited with formalising the proof by GPT-5.5 Pro and Turturean (2026) for Erdős problem 330 (formalisation announced on May 5, 2026).
DiscoverIA status on October 12, 2026: not evaluated, meaning no third-party evaluation found.
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-330-codex-gpt-5-5-pro-2b-r1
@misc{discoveria-erdos-330-codex-gpt-5-5-pro-2b-r1,
author = {{DiscoverIA}},
title = {Erdős problem #330: formalisation by Codex and GPT-5.5 Pro (proof: GPT-5.5 Pro and Turturean (2026))},
howpublished = {DiscoverIA registry, entry erdos-330-codex-gpt-5-5-pro-2b},
note = {Status “Not evaluated”, snapshot 1, recorded on October 12, 2026. Formalisation of a known result},
year = {2026},
url = {https://discoveria.ai/entry/erdos-330-codex-gpt-5-5-pro-2b#releve-1},
urldate = {2026-10-12}
}Dated link opens this snapshot in the history
To understand ≈ 20 s reading time, estimated
What it changes
If this formalisation were correct, a computer could check every step of the proof by GPT-5.5 Pro and Turturean (2026).
What remains unclear
GPT-5.5 Pro appears both among the authors of the formalisation and among those of the proof being formalised. The wiki does not specify the formal language used on this line, and the sources read record no verification of the formalisation.
For experts
Sources, method, key facts, status history, report an error
Status
Not evaluated
Recorded on · github.com · wiki
Step 1 of 4 on the scale: not evaluated. Next step: under review.
- Announced
- Wiki frozen
- Recordednot evaluated
- nextTo follow
What this status means
Source reading : Source read word for word (level 3 of 3)
The result is declared neither right nor wrong.
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
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(b), “Formalization” (secondary contribution). Humans named by the wiki: none; AI systems: Codex, GPT-5.5 Pro. Date given by the wiki: May 5, 2026. Exact text: “Formalization”. Proof to formalise: GPT-5.5 Pro and Turturean (2026); wiki flag on this proof: green (“full resolution”, according to the wiki's legend); the wiki does not name the formal language on this line. 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: not evaluated (only the wiki's classification exists). Recorded on October 12, 2026.
Limits
Nature: formalisation (an already known result translated into a language a machine can check), not a discovery. DiscoverIA has not checked this contribution itself.
Key facts
- Claimed by
- Codex, GPT-5.5 Pro, according to the AI-Erdős wiki
announced on May 5, 2026 - Nature
- formalisation of a known result
- Field
- Mathematics (Erdős problem #330 (number theory ; additive basis))
- Wiki category
- Formalization (contribution secondaire : formalisation)
- Proof formalised
- GPT-5.5 Pro and Turturean's
- Checked by
- no verifier identified
- Sources
- 4 : 3 read word for word, 1 link only
- This entry
- AI draft, not reviewed
Status history
Only one observation so far.
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 112 of 521, by problem number
- 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)
- Not evaluated : Erdős problem #333: full solution found in the literature according to the wiki (Aletheia)
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