Not evaluated
Erdős problem #730: candidate full solution according to the wiki (GPT-5.5 Pro)
The gist
On June 24, 2026, GPT-5.5 Pro put forward a full solution to Erdős problem #730, according to the wiki that tracks AI contributions to these problems (label “Candidate full solution”).
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-730-gpt-5-5-pro-1a-r1
@misc{discoveria-erdos-730-gpt-5-5-pro-1a-r1,
author = {{DiscoverIA}},
title = {Erdős problem #730: candidate full solution according to the wiki (GPT-5.5 Pro)},
howpublished = {DiscoverIA registry, entry erdos-730-gpt-5-5-pro-1a},
note = {Status “Not evaluated”, snapshot 1, recorded on October 12, 2026. New result},
year = {2026},
url = {https://discoveria.ai/entry/erdos-730-gpt-5-5-pro-1a#releve-1},
urldate = {2026-10-12}
}Dated link opens this snapshot in the history
To understand ≈ 30 s reading time, estimated
What it changes
If this solution held, problem #730 would be fully solved. It belongs to number theory. According to its tags, it concerns binomial coefficients (which count the ways of choosing a given number of elements from a set) and base representations.
What remains unclear
No verifier is named in the sources read, and the wiki notes that the comparable literature is unknown, so it is not known whether this result was already established. On October 12, 2026, erdosproblems.com lists the problem as solved (informal_status=solved), but that record is the current state, not that of June 2026. The sources read say neither who solved it nor whether this solution contributed.
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-5.5 Pro. Date given by the wiki: June 24, 2026. Exact text: “Candidate full solution”; white flag (“unverified”, 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): resolved other than by a yes-or-no answer (informal_status=solved); 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/730. 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-5.5 Pro, according to the AI-Erdős wiki
announced on Jun 24, 2026 - Nature
- new result
- Field
- Mathematics (Erdős problem #730 (number theory ; binomial coefficients ; base representations))
- Wiki category
- AI standalone (IA seule ; littérature comparable inconnue ; implication humaine non significative)
- Wiki verdict
- « Candidate full solution » : ⚪ non vérifié (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 293 of 521, by problem number
- Not evaluated : Erdős problem #728: formalisation by Aristotle (proof: Pomerance (2026))
- Not evaluated : Erdős problem #729: full solution with a Lean proof according to the wiki (Aristotle, GPT-5.2 Pro)
- Not evaluated : Erdős problem #729: related results found in the literature according to the wiki (ChatGPT Deep research)
- Not evaluated : Erdős problem #730: candidate full solution according to the wiki (GPT-5.5 Pro)
- Not evaluated : Erdős problem #731: candidate full solution according to the wiki (GPT)
- Not evaluated : Erdős problem #737: full solution found in the literature according to the wiki (GPT-5)
- Not evaluated : Erdős problem #741: partial result with a Lean proof, variant of the first part and second part solved, according to the wiki (DeepMind prover agent)
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