Not evaluated
Erdős problem #480: formalisation by Aristotle (proof: Chung and Graham (1984))
The gist
Aristotle reportedly formalised the proof by Chung and Graham (1984) of problem #480 (formalisation announced on November 28, 2025), according to the teorth/erdosproblems wiki on AI and Erdős problems.
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-480-aristotle-2b-r1
@misc{discoveria-erdos-480-aristotle-2b-r1,
author = {{DiscoverIA}},
title = {Erdős problem #480: formalisation by Aristotle (proof: Chung and Graham (1984))},
howpublished = {DiscoverIA registry, entry erdos-480-aristotle-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-480-aristotle-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 a proof is to rewrite it in a language that a computer can check step by step. The wiki sees a secondary contribution of formalisation: if it held, the proof by Chung and Graham (1984), which the wiki marks “complete resolution”, could be checked in that way.
What remains unclear
The wiki does not name the formal language on this line, nor whether anyone has checked this formalisation. A verification published after the wiki was frozen would not appear in it.
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 system: Aristotle. Date given by the wiki: November 28, 2025. Exact text: “Formalization”. Proof to formalise: Chung and Graham (1984); 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/480. 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
- Aristotle, according to the AI-Erdős wiki
announced on Nov 28, 2025 - Nature
- formalisation of a known result
- Field
- Mathematics (Erdős problem #480 (number theory))
- Wiki category
- Formalization (contribution secondaire : formalisation)
- Proof formalised
- Chung and Graham'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 187 of 521, by problem number
- Not evaluated : Erdős problem #464: formalisation by Aristotle (proof: de Mathan (1980))
- Not evaluated : Erdős problem #476: formalisation by Aristotle (proof: Alon, Nathanson, and Ruzsa (1995))
- Not evaluated : Erdős problem #477: solution to a variant problem with a Lean proof according to the wiki (AlphaProof)
- Not evaluated : Erdős problem #480: formalisation by Aristotle (proof: Chung and Graham (1984))
- Not evaluated : Erdős problem #481: formalisation by Aristotle and Claude (proof: Barreto (2025))
- Not evaluated : Erdős problem #481: existing proof unwittingly reproduced according to the wiki (ChatGPT Deep research, Gemini Deep Research)
- Not evaluated : Erdős problem #481: full solution found in the literature according to the wiki (GPT)
Report an error or suggest a source
Thank you, your message was sent.
Sending failed. Try again, or write to contact@discoveria.ai.
Is your result listed?What each status requires, correcting this entry, replying to it.