Not evaluated
Erdős problem #251: solution to a variant problem according to the wiki (GPT-5.4 Pro)
The gist
According to the wiki of AI contributions to Erdős problems, GPT-5.4 Pro reportedly obtained a solution to a variant of problem #251, announced on April 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-251-gpt-5-4-pro-1a-r1
@misc{discoveria-erdos-251-gpt-5-4-pro-1a-r1,
author = {{DiscoverIA}},
title = {Erdős problem #251: solution to a variant problem according to the wiki (GPT-5.4 Pro)},
howpublished = {DiscoverIA registry, entry erdos-251-gpt-5-4-pro-1a},
note = {Status “Not evaluated”, snapshot 1, recorded on October 12, 2026. New result},
year = {2026},
url = {https://discoveria.ai/entry/erdos-251-gpt-5-4-pro-1a#releve-1},
urldate = {2026-10-12}
}Dated link opens this snapshot in the history
To understand ≈ 20 s reading time, estimated
What it changes
Problem #251 belongs to number theory and touches on irrationality (a number is irrational if it cannot be written as a fraction of two integers). If this solution held, it would advance the problem without solving it in full. The wiki files it under category 1(a), AI standalone, with no significant human involvement.
What remains unclear
The sources read do not say how the variant differs from the original problem, or whether third parties have examined this solution. The wiki flags it with its partial-progress marker, not a full-resolution one.
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 1(a), “AI standalone” (AI alone; no comparable literature known; no significant human involvement). Humans named by the wiki: none; AI system: GPT-5.4 Pro. Date given by the wiki: April 15, 2026. Exact text: “Solution to variant problem”; yellow flag (“partial progress”, according to the wiki's legend). 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/251. DiscoverIA status: not evaluated (only the wiki's classification exists). Recorded on October 12, 2026.
Limits
DiscoverIA has not checked this contribution itself.
Key facts
- Claimed by
- GPT-5.4 Pro, according to the AI-Erdős wiki
announced on Apr 15, 2026 - Nature
- new result
- Field
- Mathematics (Erdős problem #251 (number theory ; irrationality))
- Wiki category
- AI standalone (IA seule ; littérature comparable inconnue ; implication humaine non significative)
- Wiki verdict
- « Solution to variant problem » : 🟡 progrès partiel (légende du wiki)
- 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 84 of 521, by problem number
- Withdrawn : Erdős problem #233: conditional proof judged incorrect by the wiki (GPT-5.2 Pro)
- Not evaluated : Erdős problem #237: formalisation by Aristotle (proof: Chen and Ding (2022))
- Not evaluated : Erdős problem #246: formalisation by Aristotle (proof: Birch (1959))
- Not evaluated : Erdős problem #251: solution to a variant problem according to the wiki (GPT-5.4 Pro)
- Not evaluated : Erdős problem #258: formalisation by Aristotle (proof: GPT-5.4 Pro (2026))
- Not evaluated : Erdős problem #258: full solution according to the wiki (GPT-5.4 Pro)
- Not evaluated : Erdős problem #259: formalisation by Aristotle (proof: Chen and Ruzsa (1999))
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