Erdős #205, #457, #650 and #397 by Aristotle, GPT-5.x and Aletheia
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
A batch of 4 AI contributions (OpenAI, Harmonic, Google DeepMind) to Erdős problems #205, #457, #650 and #397, announced between January and March 2026 according to the wiki. 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-205-457-650-397-r1
@misc{discoveria-erdos-205-457-650-397-r1,
author = {{DiscoverIA}},
title = {Erdős #205, #457, #650 and #397 by Aristotle, GPT-5.x and Aletheia},
howpublished = {DiscoverIA registry, entry erdos-205-457-650-397},
note = {Status « Not evaluated », snapshot 1, recorded on October 11, 2026. new result},
year = {2026},
url = {https://discoveria.ai/en/fiche/erdos-205-457-650-397/#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
- OpenAI, Harmonic, Google DeepMind (Aletheia)
announced on Jan 2026 - Nature
- new result
- Field
- Mathematics (number theory / combinatorics)
- Checked by
- no verifier identified
- Sources (domains)
- 1 : 1 links only
- This entry
- AI draft, not reviewed
To understand
Analogy
It is like several pupils each handing in an answer to a hard exercise: for one of them, the model solution is later found in an older textbook.
What it changes
If these contributions hold, they would show AI systems making progress on several open questions in number theory and combinatorics. For problem 650, the title speaks of a result stronger than that of Erdős and Selfridge (1978).
What remains unclear
For 205 and 457 the wiki mentions Lean, with no third-party verifier named. For 397, earlier literature was found (listed as “TST Chine 2012”), so that one is a literature search, not a discovery. The exact date for each problem is in the wiki, not here.
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 several pupils each handing in an answer to a hard exercise: for one of them, the model solution is later found in an older textbook.
Status history
Only one observation so far.
An observation is added; none is ever erased.
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