Not evaluated
Exact quantum factoring over a fixed finite gate set (family 279)
The gist
In its release of October 6, 2026, OpenAI claims, using an unreleased internal model, exact quantum factoring over a fixed finite gate set.
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-oai-fam-279-exact-quantum-factoring-fixed-finite-gate-r1
@misc{discoveria-oai-fam-279-exact-quantum-factoring-fixed-finite-gate-r1,
author = {{DiscoverIA}},
title = {Exact quantum factoring over a fixed finite gate set (family 279)},
howpublished = {DiscoverIA registry, entry oai-fam-279-exact-quantum-factoring-fixed-finite-gate},
note = {Status “Not evaluated”, snapshot 1, recorded on October 12, 2026. New result},
year = {2026},
url = {https://discoveria.ai/entry/oai-fam-279-exact-quantum-factoring-fixed-finite-gate#releve-1},
urldate = {2026-10-12}
}Dated link opens this snapshot in the history
To understand ≈ 20 s reading time, estimated
What it changes
If the result held, it would concern the factoring of an integer (its decomposition into prime factors) by a quantum computer. Its gates, meaning its elementary operations, would be taken from a fixed finite set.
What remains unclear
The Lean (a language in which a computer checks every step of a proof) was supplied by OpenAI itself, and its formalization.yaml file marks it “unchecked”. No third-party verification is recorded. The sources read specify neither the meaning of “exact” nor the resources required (number of gates, running time).
For experts
Sources, method, key facts, status history, report an error
Status
Not evaluated
Recorded on · github.com · 279.md
Step 1 of 4 on the scale: not evaluated. Next step: under review.
- Announced
- 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.
Sources
- Main sourcegithub.com · CONTENTS.mdlink only, reading not recorded
- Repositorygithub.com · Exact-quantum-factoring…link only, reading not recorded
- Lean proofgithub.com · 279.mdpage read word for word
- Lean proofgithub.com · ExactQuantumFactoring.leanlink only, reading not recorded
Method
The openai/math repository contains the manuscript “Exact quantum factoring over a fixed finite gate set”, dated September 25, 2026. The file lean/docs/279.md describes the Lean formalisation, with 1 Comparator statement (lean/ComparatorChallenges/ExactQuantumFactoring.lean). The family is absent from the `sources` of formalization.yaml; history.md reports no revision. DiscoverIA status: not evaluated, meaning that no third-party evaluation has been found in the sources read. Set on October 12, 2026 from github.com (page read, quotation checked word for word: “describes the scope of the Lean formalization”).
Limits
No named third party: the recorded checks come from the claimant or from a platform tool. The claimant supplies a Lean proof; as of this date, DiscoverIA has found no independent verification of this proof or of the result.
Key facts
- Claimed by
- OpenAI (unreleased internal model)
announced on Oct 6, 2026 - Nature
- new result
- Field
- Mathematics (Mathematical physics)
- In openai/math
- family 279, section “Mathematical physics”, 1 manuscript dated Sep 25, 2026
- Lean proof
- supplied by the claimant, marked “unchecked” (not reviewed) in its repository
- Revisions
- none reported by the claimant
- Checked by
- claimant (Lean supplied, not checked by a third party)
- Sources
- 4 : 1 read word for word, 3 links only
- This entry
- AI draft, not reviewed
Status history
Only one observation so far.
- 01
First observation:Not evaluatedCurrent status
Family with a Lean proof supplied by the claimant. No third-party check read; the source marks this proof as not reviewed (“unchecked”).
Source: github.comread word for word
An observation is added; none is ever erased.
In the same set
openai/math: 719 manuscripts in 372 families from an unreleased internal model · entry 273 of 372, by family number
- Not evaluated : The classical capacity of generalized amplitude damping (family 276)
- Not evaluated : Threshold repetition for entangled games (family 277)
- Not evaluated : Failure of Kohn–Sham ensemble representation (family 278)
- Not evaluated : Exact quantum factoring over a fixed finite gate set (family 279)
- Not evaluated : Strong locality for strongly rational unitary vertex operator algebras (family 280)
- Not evaluated : QAOA optimality for the SK model (family 281)
- Not evaluated : Scale-to-conformal enhancement in four-dimensional QFT (family 282)
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