Erdős #1026: Lean solution by Aristotle
Status
Not evaluated
Recorded on · github.com
- Announced
- Recordednot evaluated
- nextTo follow
What this status means
Source reading : Source read through an AI summary (level 2 of 3)
No DiscoverIA status yet; this does not mean nobody has checked it.
To move to “Under review”: a public review under way. To “Peer reviewed”: a journal publication or a review by named experts.
The gist
Harmonic (Aristotle) announced in December 2025 a solution to Erdős problem #1026, written in Lean; the literature only matches it after an argument from 1959. Status not yet evaluated.
Cite this entry
A single status snapshot since Oct 11, 2026: a citation always points to a dated snapshot.
Cite snapshot 1, Oct 11, 2026
APA citation with the dated link
BibTeX @misc, key discoveria-erdos-1026-aristotle-r1
@misc{discoveria-erdos-1026-aristotle-r1,
author = {{DiscoverIA}},
title = {Erdős #1026: Lean solution by Aristotle},
howpublished = {DiscoverIA registry, entry erdos-1026-aristotle},
note = {Status « Not evaluated », snapshot 1, recorded on October 11, 2026. new result},
year = {2026},
url = {https://discoveria.ai/en/fiche/erdos-1026-aristotle/#releve-1},
urldate = {2026-10-11}
}Dated link opens this snapshot in the history
Text written by an AI (DiscoverIA pipeline), on Reviewed by: nobody yetReport an error
What has not been reviewed?
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.
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.
Key facts
- Claimed by
- Harmonic (Aristotle)
announced on Dec 7, 2025 - Nature
- new result
- Field
- Mathematics (combinatorics)
- Checked by
- no verifier identified
- Sources (domains)
- 1 : 1 links only
- This entry
- AI draft, not reviewed
To understand
Analogy
It is like a cook who works out a dish and then finds an almost identical recipe in an old book, apart from one step.
What it changes
Lean is a language in which software checks every step of a proof. If the solution holds, it would be an example of an AI producing a machine-checkable proof in combinatorics; how much it adds depends on what the literature already contained.
What remains unclear
The Lean file comes from the claimant only and no third party is named. According to the entry's title, the result of Tidor, Wang and Yang (2016) only matches the question after an argument by Seidenberg (1959); the record does not say how much is new.
1 source.
For experts
Sources(domains)
- primairegithub.comlink only, reading not recorded
Method
Status “not evaluated” recorded on 11 October 2026 from github.com (page read through a model summary, quotation not rechecked).
Limits
The status source was read through a model summary; its quotation was not rechecked. A Lean proof supplied by the claimant does not count as formal verification by a third party. DiscoverIA has recorded no independent evaluation as of this date.
It is like a cook who works out a dish and then finds an almost identical recipe in an old book, apart from one step.
Status history
Only one observation so far.
An observation is added; none is ever erased.
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