Not evaluated
Erdős problem #1039: formalisation by Codex, GPT-5.5 (proof: GPT-5.5 Pro (2026))
The gist
The Erdős AI wiki credits Codex and GPT-5.5 with formalising the proof it lists as “GPT-5.5 Pro (2026)” (problem #1039, announced May 15, 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-1039-codex-gpt-5-5-2b-r1
@misc{discoveria-erdos-1039-codex-gpt-5-5-2b-r1,
author = {{DiscoverIA}},
title = {Erdős problem #1039: formalisation by Codex, GPT-5.5 (proof: GPT-5.5 Pro (2026))},
howpublished = {DiscoverIA registry, entry erdos-1039-codex-gpt-5-5-2b},
note = {Status “Not evaluated”, snapshot 1, recorded on October 12, 2026. Formalisation of a known result},
year = {2026},
url = {https://discoveria.ai/entry/erdos-1039-codex-gpt-5-5-2b#releve-1},
urldate = {2026-10-12}
}Dated link opens this snapshot in the history
To understand ≈ 20 s reading time, estimated
What it changes
To formalise is to rewrite a proof in a language that a computer can check step by step. If the formalisation held, it would give machine checking to a proof already written, without adding a new mathematical result.
What remains unclear
The wiki does not name the formal language, and no independent verification was found. The erdosproblems.com record of October 12, 2026 lists formal_status=unformalized for this problem; the sources read do not give the reason.
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. Date given by the wiki: May 15, 2026. Exact text: “Formalization”. Proof to formalise: GPT-5.5 Pro (2026); wiki flag on this proof: yellow (“partial progress”, 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): open (informal_status=open); 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/1039. 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, according to the AI-Erdős wiki
announced on May 15, 2026 - Nature
- formalisation of a known result
- Field
- Mathematics (Erdős problem #1039 (analysis ; polynomials))
- Wiki category
- Formalization (contribution secondaire : formalisation)
- Proof formalised
- GPT-5.5 Pro'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 434 of 521, by problem number
- Not evaluated : Erdős problem #1037: formalisation by Aristotle (proof: Cambie, Chan, and Hunter (2025))
- Not evaluated : Erdős problem #1038: partial result according to the wiki (AlphaEvolve, Claude Fable 5, Codex, GPT-5.2 Thinking, GPT-5.4 Thinking, GPT-5.5)
- Not evaluated : Erdős problem #1039: partial result with a Lean proof according to the wiki (Aristotle, Claude Opus 4.6)
- 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)
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