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Will a Millennium Prize be awarded for any unsolved Millennium Prize Problem before Jan 1, 2028? — Before 2028
5%
Agent
13%
Market Price
-8.7%
Edge
81%
Confidence
141,379
Volume
6.7c
Spread
448
Days to resolution
5
Markets in event
final rationale
Mean of 5 draws (0.04, 0.04, 0.07, 0.06, 0.03). (0) The condition has not been met. CMI's Millennium Problems page still lists only Poincaré as solved and labels Navier-Stokes 'Active'. CMI's only statement, on 11 Sept 2026, called the problem 'apparently settled' and described its process as 'deliberately unhurried', with no award language. (a) About 14.7 months remain until the 1 Jan 2028 deadline. (b) The status quo is No. CMI's rules require publication in a qualifying refereed outlet, then at least two years, then general acceptance. No refereed publication of OpenAI's Navier-Stokes proof exists yet, so even a publication tomorrow would put the earliest eligible date around late 2028, after the deadline. (c) NO scenario: CMI follows its own rules and its Poincaré precedent (about 7-8 years from proof to award). Meanwhile the priority dispute (Buckmaster/Alpöge, Córdoba et al.), the arXiv critique of whether the Lean formalization matches the written proof, and the fact that OpenAI only covers the forced statements C/D all hold back 'general acceptance'. (d) YES scenario: CMI waives or reinterprets the two-year rule for a machine-verified proof, or a fast second AI result such as Hodge gets expedited treatment, and an award is announced in 2027. Nothing in the research suggests CMI is considering this. There is also a further risk to Yes: this market's rules exclude counterexamples and disproofs, and OpenAI's result is a blowup, which is a disproof of global smoothness. The Kalshi price of 13.4% (bid 7%) looks inflated by Navier-Stokes headline momentum. The Polymarket 'CMI declares Navier-Stokes solved by end of 2027' market at 15.5% is a related but looser question. Given the near-deterministic procedural barrier, I price Yes well below the anchor at about 4%.
price vs. prediction
market price
agent forecast at t+0
8 follow-ups
1. Planner Opus 5.5 · picks the research tools
Tools chosen:
kalshi_direct
resolution_source
wikipedia
kalshi_related
polymarket_related
Planner reasoning
The kalshi_direct price is the anchor, and resolution_source checks the CMI Millennium Problems page for any award announcement. Wikipedia gives the reference class: Perelman's 2010 award came about 7 years after his preprint and needed a 2-year post-publication waiting period. CMI's rules require that delay, so a new award before 2028 would need a solution already published and accepted by about 2025, which makes this structural fact decisive. Related markets on both venues give cross-venue signal.
2. Research parallel tool calls + 4 web research loops (Sonnet 5) · read raw by the forecasters
at a glance
RESEARCH DIGEST (built in code: tool summaries and each report's bottom line; the forecasters read the full tool outputs and reports)
Tools
- kalshi_direct: ## This Market's Kalshi Data **Before 2028** (KXMILLENNIUM-25-28) - Current price (probability): 13.40% (live; bid 7% / ask 14%) - 7-day price change: +6.40% - 30-day price change: +9.40% - Average daily volume: 3840 contracts - Price range: 1.30% - 60.00% - Data points: 30 days
- resolution_source: already_resolved=unclear; matches_criteria=True; last_updated=© 2026 Clay Mathematics Institute (page footer); news item dated 11 September 2026. The Millennium Problems page lists Poincaré Conjecture as the only 'Solved problem'; Navier-Stokes is separately listed under an 'Active problems' heading while Birch-Swinnerton-Dyer, Hodge, P vs NP, Riemann, and Yang-Mills remain under 'Unsolved problem
- wikipedia: Fetched 3 Wikipedia entries (0 missing pages).
- kalshi_related: 2 related markets / summaries. series KXMILLENNIUM: 0 markets (skipped 5 no-signal) | keyword 'Millennium Prize': ok | keyword 'Riemann hypothesis': ok | keyword 'P vs NP': no matches
- polymarket_related: Polymarket search over 3 keyword(s), kept 15 matches. keyword 'Millennium Prize': 5 markets | keyword 'Riemann': 5 markets | keyword 'Navier-Stokes': 5 markets
Research loops, bottom lines
- current state: As of October 10, 2026, no Millennium Prize has been awarded; CMI's only acknowledgment of the OpenAI Navier-Stokes claim calls it "apparently settled" but explicitly non-dispositive, and CMI's own rules impose a minimum two-year waiting period after qualifying publication before any prize can even be considered — a timeline that, combined with an unresolved priority dispute and lack of independent mathematical consensus, makes formal CMI award before January 1, 2028 procedurally very tight even
- base rate: The historical base rate for a CMI-confirmed Millennium Prize award is extremely low — exactly one award in 26 years, and that award itself took roughly 7-8 years from proof to formal CMI recognition. CMI's own rules impose a mandatory multi-year publication/acceptance period before any prize can be considered, and even the highest-profile recent claim (OpenAI's September 2026 Navier-Stokes announcement) has explicitly not been awarded and is still only "apparently" settled per CMI, making a bef
- yes case: The strongest YES path is not that CMI waives its two-year/general-acceptance rule outright, but that the unprecedented speed of organized, AI-accelerated independent scrutiny (multiple critique papers and an advisory panel already engaged within weeks, rather than the years-long gap before Poincaré's explication papers) could produce a qualifying refereed publication and community consensus fast enough for the SAB to recommend an award within CMI's existing rules before January 2028 — especiall
- no case: Even granting OpenAI's Navier-Stokes claim is eventually vindicated, CMI's own two-year "Qualifying Outlet" clock has arguably not even started (no refereed/exposition publication yet identified), a live priority dispute and a fresh technical rebuttal of the Lean verification both cut against "general acceptance," and CMI's 26-year, single-award history (with a 7–8 year lag even in the cleanest case) all point toward no formal prize award before January 1, 2028.
tools
| tool | status | time | items | summary |
|---|---|---|---|---|
| kalshi_direct | OK | 0.2s | 1 | ## This Market's Kalshi Data **Before 2028** (KXMILLENNIUM-25-28) - Current price (probability): 13.40% (live; bid 7% / ask 14%) - 7-day price change: +6.40% - 30-day price change: +9.40% - Average daily volume: 3840 contracts - Price range: 1.30% - 60.00% - Data points: 30 days |
| resolution_source | OK | 8.0s | 1 | already_resolved=unclear; matches_criteria=True; last_updated=© 2026 Clay Mathematics Institute (page footer); news item dated 11 September 2026. The Millennium Problems page lists Poincaré Conjecture as the only 'Solved problem'; Navier-Stokes is separately listed under an 'Active problems' heading |
| wikipedia | OK | 0.3s | 3 | Fetched 3 Wikipedia entries (0 missing pages). |
| kalshi_related | OK | 4.4s | 2 | 2 related markets / summaries. series KXMILLENNIUM: 0 markets (skipped 5 no-signal) | keyword 'Millennium Prize': ok | keyword 'Riemann hypothesis': ok | keyword 'P vs NP': no matches |
| polymarket_related | OK | 0.4s | 15 | Polymarket search over 3 keyword(s), kept 15 matches. keyword 'Millennium Prize': 5 markets | keyword 'Riemann': 5 markets | keyword 'Navier-Stokes': 5 markets |
research loops
·
4/4 ok ·
14 searches ·
6 page reads
| dimension | status | time | searches | page reads | report |
|---|---|---|---|---|---|
| current state | OK | 32s | 5 | 2 | 5680 chars |
| base rate | OK | 37s | 3 | 2 | 4512 chars |
| yes case | OK | 58s | 3 | 1 | 5818 chars |
| no case | OK | 50s | 3 | 1 | 5854 chars |
report: current state
- [2026-09-08] OpenAI announced that an internal AI system had produced a proof of finite-time blowup for the 3D Navier-Stokes equations (addressing Statements C and D, with a smooth external force), formally verified in Lean;
the agents sent 2.7 million messages and used approximately 130 billion output tokens
in producing it. Source: https://openai.com/index/navier-stokes-solution/
- [2026-09-09]
In the Tuesday announcement, OpenAI said the company does not intend to claim the Millennium Prize for the result.
Source: https://www.cnn.com/2026/09/09/business/openai-millennium-problems-navier-stokes-hnk
- [2026-09-11] The Clay Mathematics Institute (CMI), in its only official statement, said it "shares in the excitement of the global mathematical community as we contemplate the announcement that the Navier-Stokes problem has apparently been settled," explicitly noting the evaluation and crediting process "is deliberately unhurried" — stopping short of any award language or acceptance. Source: https://www.claymath.org/news/navier-stokes-announcement/
- [2026-10-02]
The Clay Mathematics Institute has not accepted the result and still lists the problem as unsolved
, per independent reporting, and a priority dispute with NYU's Tristan Buckmaster (who, with Anthropic's Levent Alpöge, claims related work predating OpenAI's) remains unresolved. Source: https://www.implicator.ai/clay-institute-navier-stokes-openai-proof-claim/
- [2026-10-05]
The Clay Mathematics Institute has not completed its formal review; the Clay Mathematics Institute described the problem as apparently settled, but its formal review has not concluded.
Source: https://www.tokenpost.com/news/technology/26880
- [2026-10-10] (today, publication date)
The Clay Mathematics Institute released its own statement...referring to its process for assessing solutions and awarding the Millennium Prize as "deliberately unhurried." The Institute's rules state that a proposed solution must be published and withstand two years of scrutiny before a prize can be awarded.
Source: https://www.cornellsun.com/article/2026/10/openai-claims-it-solved-the-navier-stokes-problem-we-asked-cornell-professors-what-this-means-for-the-future-of-research
- [2026-10-07] Unconfirmed online speculation (Reddit threads, not OpenAI-confirmed) suggests OpenAI's model may be showing progress on two additional Millennium Problems beyond Navier-Stokes, with the Hodge Conjecture cited as the "leading reported candidate," but
there is no public OpenAI paper, named theorem, second Lean formalization, or Clay Mathematics Institute certification
for any second problem. Source: https://startupfortune.com/openais-math-model-is-reportedly-chipping-away-at-two-more-millennium-prize-problems/
- [2026-09-11] OpenAI separately told the New York Times it had made "substantial progress" on a second, unnamed Millennium Prize problem since completing Navier-Stokes, without specifying which one or a disclosure timeline. Source: https://decrypt.co/378551/openai-progress-second-millennium-prize-math-problem
- [2026-09-17] Reporting (The Information, via secondhand sourcing) says OpenAI employees expect to solve the Hodge Conjecture "relatively soon," but this remains unconfirmed by OpenAI and uncertified by CMI. Source: https://the-decoder.com/openai-reportedly-closes-in-on-solving-the-hodge-conjecture-its-second-millennium-prize-problem/
- [2026-10-10] CMI's official rules (per secondary sourcing of the primary rules page) require: (i) publication in a qualifying refereed outlet, (ii) at least two years elapsed since publication, and (iii) general acceptance in the global mathematics community, before CMI will even consider a proposed solution for the prize. Source: https://manlius.substack.com/p/no-ai-hasnt-officially-solved-navierstokes
- [2026-10-10] Wikipedia's current (as-of-today) summary states:
As of 2026, the only Millennium Prize problem to have been officially declared solved is the Poincaré conjecture. The Clay Institute awarded the monetary prize to Russian mathematician Grigori Perelman in 2010. However, he declined the award because it was not also offered to Richard S. Hamilton, upon whose work Perelman built.
Source: https://en.wikipedia.org/wiki/Millennium_Prize_Problems
- [2025-09-17 to 2026-04-15] CMI/Harvard are running a "Millennium Prize Problems Lecture Series" surveying each of the seven problems (Riemann Hypothesis lecture scheduled for April 15, 2026), reflecting that none of the five remaining classical problems (other than Navier-Stokes/Poincaré) show signs of imminent resolution through conventional channels. Source: https://www.claymath.org/events/millennium-prize-problems-lecture-series/
BOTTOM LINE: As of October 10, 2026, no Millennium Prize has been awarded; CMI's only acknowledgment of the OpenAI Navier-Stokes claim calls it "apparently settled" but explicitly non-dispositive, and CMI's own rules impose a minimum two-year waiting period after qualifying publication before any prize can even be considered — a timeline that, combined with an unresolved priority dispute and lack of independent mathematical consensus, makes formal CMI award before January 1, 2028 procedurally very tight even in the best case for Navier-Stokes, while no other problem has a credible claimed solution.
NOT FOUND: No CMI statement later than September 11, 2026 updating the Navier-Stokes review status; no confirmation of which (if any) second problem OpenAI is working on; no evidence of any qualifying-outlet (refereed) publication of OpenAI's Navier-Stokes proof having occurred, which would be the trigger that starts CMI's two-year clock.
report: base rate
- [2000-05-24] The Clay Mathematics Institute (CMI) designated seven Millennium Prize Problems in Paris, each carrying a $1 million prize, with
no time limit existing for their solution
.
- [2002-2003] Grigori Perelman posted preprints proving the Poincaré conjecture;
CMI announced the award of the Millennium Prize for the proof in 2010
. This remains the only problem ever resolved and awarded in the program's 26-year history — a base rate of 1 success in roughly 26 years (≈3.8%/year, unevenly distributed, with a ~10-year lag between proof and award).
- [2010]
The Clay Institute awarded the monetary prize to Grigori Perelman in 2010, but he declined the award because it was not also offered to Richard S. Hamilton
— illustrating that even a confirmed award can come with unusual complications, though CMI's official act of awarding still counted as resolution.
- [2018-09-26] CMI's current rules require three conditions before any prize is even considered:
"the proposed solution must be published in a Qualifying Outlet (see §6), and (ii) at least two years must have passed since publication, and (iii) the proposed solution must have received general acceptance in the global mathematics community"
, implying a structural minimum delay of years between any credible claim and an official award.
- [2026-09-08] OpenAI announced a claimed AI-generated resolution of the Navier–Stokes problem (finite-time blowup), publishing
"a 166-page manuscript, Finite Time Blowup for Navier–Stokes, and a Lean project"
;
OpenAI stated it would not claim the $1 million Clay Millennium Prize for the solution it posted
.
- [2026-09-11] CMI's own response was cautious, not an award:
it shared "excitement" that the problem has "apparently been settled" and stressed a "deliberately unhurried" prize process
, with
no award language and no "accepted solution" stamp on the problem list
.
- [2026-09-11 ongoing] As of the most recent tracking,
the Clay Mathematics Institute currently considers the problem "active"
rather than solved, and
the announcement did not award a prize; CMI continues to label the problem "Active"
.
- [2026-09-29] A specialist tracker summarized the state as:
"Clay's statement came on September 11; evaluation and assignment of credit are deliberately unhurried, and no prize has been awarded."
- [2025-12-31] A Manifold Markets contract asking whether CMI would award a prize for another Millennium Problem "by the start of 2026" resolved NO, reflecting the market's consensus that no award was imminent even before the OpenAI claim surfaced.
- [2026 (current)] Related Manifold sibling markets show a split outside view: a market on "Will ANOTHER millennium prize problem be solved in 2026?" stood around 37% chance, while "Will every Millennium Prize problem be solved before 2028" stood at about 10% chance and "All Millennium Prize Problems solved before 2030" at about 30% — these track "solved" claims broadly, not CMI's formal awarding of a prize, which is a stricter bar.
- [2026-10-04] Independent commentary (e.g., a Cambridge-trained reviewer) continued to push back on headline claims, noting
"a Cambridge maths PhD explains why the headline overstates the result ... No, AI didn't just solve Navier-Stokes."
- [2026-10-04] A tracking site's broader review concluded that, despite rapid AI progress,
"No AI-generated Millennium Prize claim, on any of the seven problems, has entered that process as of this post,"
referring to CMI's formal verification pipeline.
BOTTOM LINE: The historical base rate for a CMI-confirmed Millennium Prize award is extremely low — exactly one award in 26 years, and that award itself took roughly 7-8 years from proof to formal CMI recognition. CMI's own rules impose a mandatory multi-year publication/acceptance period before any prize can be considered, and even the highest-profile recent claim (OpenAI's September 2026 Navier-Stokes announcement) has explicitly not been awarded and is still only "apparently" settled per CMI, making a before-2028 Yes resolution a strong outside-view long shot even with accelerating AI-assisted proof activity.
NOT FOUND: No evidence of any CMI prize committee meeting, formal peer-review completion, or award decision scheduled before 2028 for Navier-Stokes or any other problem; no record of CMI relaxing or waiving its two-year waiting rule for AI-generated proofs; no confirmed independent full verification of the OpenAI Navier-Stokes proof as of the most recent sources found.
report: yes case
YES means: the Clay Mathematics Institute officially announces, before Jan 1, 2028, that it has awarded the $1 million Millennium Prize for a complete, accepted solution to any one of the (now six) unsolved Millennium Prize Problems — most plausibly Navier–Stokes.
- [2026-09-11] CMI's own statement did not merely acknowledge the OpenAI claim passively; it said the Navier-Stokes problem "could have been settled," language one tracker reads as having already opened the institute's formal, multi-year verification process rather than leaving the claim in limbo — i.e., the procedural clock may already be running. Source: https://seoulinside.substack.com/p/did-openai-just-solve-navierstokes
- [2026-09-11] In the same statement CMI explicitly tied its posture to the moment's technological novelty, noting that the "increasing ability of new technologies to accelerate mathematical research has heightened this sense of anticipation" — a framing that keeps open the possibility CMI views AI-assisted, Lean-formalized proofs as faster to vet than classical ones. Source: https://the-decoder.com/clay-mathematics-institute-says-the-navier-stokes-millennium-prize-problem-has-apparently-been-settled/
- [2006–2010 precedent] For Poincaré, once independent refereed explications (Morgan–Tian, Cao–Zhu/Kleiner–Lott) of Perelman's preprints were completed and published in 2006–2007,
after two pairs of mathematicians separately published their explications in 2007, the clock merely began to tick away at the Institute's required two-year waiting period
— and the prize followed in 2010, i.e., award came roughly 3 years after a qualifying third-party publication existed, not from the original preprint date. This shows CMI does not require the solver to personally publish; a qualifying outlet produced by other mathematicians analyzing the work can start the clock, which is directly relevant since OpenAI has disclaimed authorship of the prize claim.
- [2026-10-06 to 10-07] Independent scrutiny of the OpenAI proof is moving unusually fast by historical standards: a formal critique paper on Lean/autoformalization gaps was already posted to arXiv within a month of the announcement, and a separate panel of U.K. mathematicians produced a detailed gap analysis within the same window — far faster engagement than the years-long silence that preceded Poincaré's explication papers. Source: https://arxiv.org/abs/2610.08144 ; Source: https://yellow.com/news/openai-719-ai-math-proofs-fire
- [2026-10-06] Harvard mathematician Melanie Matchett Wood, serving on an advisory panel reviewing OpenAI's math output,
said no human understands such results when they are released, "and now the work begins."
— language indicating an organized, already-convened expert effort toward verification has begun, rather than verification waiting on voluntary, uncoordinated effort as in the Perelman era.
- [2026-09-29 onward] Multiple competing technical papers engaging directly with the OpenAI construction (stability/computability analysis, alternative porous-cylinder solution revisited, Buckmaster–Alpöge's own related unverified proof) are already circulating on arXiv, creating the beginnings of the kind of independent literature that historically has been the prerequisite CMI accepts as a "qualifying outlet" pathway. Source: https://arxiv.org/pdf/2609.17642
- [2026-10-06] CMI's Scientific Advisory Board membership (Donaldson, Hopkins, Okounkov, Staffilani, Wiles, and President Bridson) overlaps substantially with the same mathematicians historically responsible for fast-tracking Poincaré's Special Advisory Board recommendation, suggesting institutional capacity and precedent exist for a committee-driven acceleration if consensus crystallizes quickly. Source: https://en.wikipedia.org/wiki/Clay_Mathematics_Institute
- [2026-09-08] OpenAI's own framing of the achievement as using
10,000 or so agents" that, "after 88 hours... had a proof of a singularity in Navier-Stokes, and after an additional 17 hours, another AI model had formalized the result
— underscores that further OpenAI-driven iteration (e.g., extending to the harder unforced case A/B, or a second problem) could plausibly arrive with similar speed, compounding the odds that some qualifying claim reaches CMI's threshold before 2028.
- [2026-09-11] OpenAI separately disclosed "substantial progress" on an unnamed second Millennium Problem and reports point to the Hodge Conjecture as the leading informal candidate; if a second AI-driven claim emerges with independent verification moving as fast as Navier-Stokes', the question has two independent shots on goal rather than one. (Already noted by colleagues, but the compounding-probability mechanism across two simultaneous AI-driven claims is the operative YES argument, not the individual claims.)
BOTTOM LINE: The strongest YES path is not that CMI waives its two-year/general-acceptance rule outright, but that the unprecedented speed of organized, AI-accelerated independent scrutiny (multiple critique papers and an advisory panel already engaged within weeks, rather than the years-long gap before Poincaré's explication papers) could produce a qualifying refereed publication and community consensus fast enough for the SAB to recommend an award within CMI's existing rules before January 2028 — especially if CMI treats the "could have been settled" language as the trigger date rather than waiting for a later formal submission.
NOT FOUND: No evidence that any refereed journal has yet accepted a paper on the OpenAI Navier-Stokes construction (by OpenAI or any third party), which would be needed to start CMI's two-year clock; no CMI statement setting or hinting at an expedited timeline; no confirmation of the second Millennium Problem OpenAI claims progress on.
report: no case
YES means: The Clay Mathematics Institute officially announces, before Jan 1 2028, that it has awarded a Millennium Prize for a complete, accepted solution to one of the previously unsolved problems (Navier–Stokes, P vs NP, Hodge, Riemann, Yang–Mills, or BSD).
- [2026-10-06] A new peer-reviewed-track arXiv paper by Bastounis, Circelli and Hansen argues that
AI autoformalisation into Lean is arbitrarily hard to make semantically faithful, with SCI = ∞, exceeding even the Halting problem
, and
shows the formalised Lean proof does not correspond to the natural-language proof of blow-up of solutions to the Navier-Stokes equations
— a direct technical rebuttal of the verification method OpenAI relied on, undercutting the "unverified but plausible" narrative. https://arxiv.org/abs/2610.08144
- [2018-09-26 rule, still in force] CMI's own current rules state plainly:
Before CMI will consider a proposed solution, all three of the following conditions must be satisfied: (i) the proposed solution must be published in a Qualifying Outlet (see §6), and (ii) at least two years must have passed since publication, and (iii) the proposed solution must have received general acceptance in the global mathematics community
— none of the three has occurred for Navier-Stokes as of today. https://www.claymath.org/millennium-problems/rules/
- [precedent] For Poincaré, the two-year clock did not start at Perelman's 2002-03 preprints; CMI only began it once independent experts wrote up refereed expositions, and
the Institute began the two-year clock when expositions of Perelman's proof were published by others, including Kleiner-Lott, Morgan-Tian, and Cao-Zhu
— a multi-year lag between preprint and clock-start, with award only in 2010, ~7-8 years after the original posting. No equivalent third-party refereed exposition of OpenAI's manuscript exists yet, so the clock for Navier-Stokes very plausibly has not started at all.
- [2026-09 ongoing] A live priority/credit dispute remains unresolved:
Buckmaster made a statement on behalf of himself and partly Alpöge, claiming their recent advances on Euler equations were leaked to OpenAI a few days earlier and may have inspired OpenAI's proof
, and
the method used to generate the Navier-Stokes solution built upon a method developed by Diego Córdoba and Luis Martínez-Zoroa in 2023
— meaning "general acceptance" and clean attribution, both required by CMI rule (iii), are contested rather than settled. https://en.wikipedia.org/wiki/Navier%E2%80%93Stokes_priority_controversy
- [2026-10 mathworld summary] As of the most current encyclopedic tracking,
CMI lists five problems as unsolved and labels the Navier-Stokes equations problem "Active"; the announcement did not award a prize
. https://mathworld.wolfram.com/MillenniumPrizeProblems.html
- [2026-11 (metadata)] Independent review characterizes the verification status of OpenAI's own release as self-graded:
its metadata labels the review status "self-assessed," and checking instructions and available code do not show that an outside group has successfully reproduced the result
. https://kingy.ai/blog/navier-stokes-ai-proof-claims-dispute/
- [resolution-criteria technicality] The question's rules require "a positive proof as originally stated, not a counterexample or disproof." OpenAI's result is a finite-time blowup (i.e., a breakdown/disproof of global smoothness) for the forced Statements C/D of Fefferman's official problem, while
the Navier-Stokes existence and smoothness problem with a real-analytic external force or no external force remains unsolved
— leaving open whether CMI or this market's adjudicator would treat a blowup/disproof of only two of the four official sub-statements as the "complete solution" the rules demand.
- [credit ambiguity undermines "a" solver]
OpenAI cedes priority for the 3D Euler result to Buckmaster and Alpöge, while claiming it for the Navier-Stokes result
, and
both OpenAI and Bubeck have said they recognise the priority of Buckmaster and Alpöge's work
— a messy, multi-party credit picture that CMI's historically cautious, consensus-seeking process (as shown with Poincaré, where even a single clear author took years) is ill-suited to resolve quickly. https://www.quantamagazine.org/ai-has-solved-one-of-maths-1-million-millennium-prize-problems-20260908/
- [status quo] CMI's only statement to date (Sept 11) remains its most recent; no newer CMI statement, prize-committee action, or Qualifying Outlet publication of the OpenAI manuscript has been found in the four weeks since, consistent with the institute's declared "deliberately unhurried" posture and its historical pattern of multi-year deliberation.
- [no other candidate] Reported "substantial progress" on a second (unnamed, possibly Hodge) problem remains, per existing sourcing, unconfirmed by any named theorem, Lean proof, or CMI acknowledgment — there is no second track that could independently trigger a Yes before 2028.
BOTTOM LINE: Even granting OpenAI's Navier-Stokes claim is eventually vindicated, CMI's own two-year "Qualifying Outlet" clock has arguably not even started (no refereed/exposition publication yet identified), a live priority dispute and a fresh technical rebuttal of the Lean verification both cut against "general acceptance," and CMI's 26-year, single-award history (with a 7–8 year lag even in the cleanest case) all point toward no formal prize award before January 1, 2028.
NOT FOUND: Any CMI statement after Sept 11, 2026 updating review status; any refereed-journal or "Qualifying Outlet" publication date for OpenAI's Navier-Stokes manuscript that would start the two-year clock; any CMI prize-committee meeting or vote scheduled; any resolution of the Buckmaster/Alpöge priority dispute; confirmation of a named second Millennium problem claim by OpenAI.
3. Forecasters 5 draws · Opus 5.5 + GPT-6 Astra + GPT-5.6 Sol · plain mean
claude-opus-5-5 · high effort
78% conf
| Yes | 4% |
| No | 96% |
(0) The condition has not been met. CMI's Millennium Problems page still lists only Poincaré as solved and labels Navier-Stokes 'Active'. CMI's only statement, on 11 Sept 2026, called the problem 'apparently settled' and described its process as 'deliberately unhurried', with no award language. (a) About 14.7 months remain until the 1 Jan 2028 deadline. (b) The status quo is No. CMI's rules require publication in a qualifying refereed outlet, then at least two years, then general acceptance. No refereed publication of OpenAI's Navier-Stokes proof exists yet, so even a publication tomorrow would put the earliest eligible date around late 2028, after the deadline. (c) NO scenario: CMI follows its own rules and its Poincaré precedent (about 7-8 years from proof to award). Meanwhile the priority dispute (Buckmaster/Alpöge, Córdoba et al.), the arXiv critique of whether the Lean formalization matches the written proof, and the fact that OpenAI only covers the forced statements C/D all hold back 'general acceptance'. (d) YES scenario: CMI waives or reinterprets the two-year rule for a machine-verified proof, or a fast second AI result such as Hodge gets expedited treatment, and an award is announced in 2027. Nothing in the research suggests CMI is considering this. There is also a further risk to Yes: this market's rules exclude counterexamples and disproofs, and OpenAI's result is a blowup, which is a disproof of global smoothness. The Kalshi price of 13.4% (bid 7%) looks inflated by Navier-Stokes headline momentum. The Polymarket 'CMI declares Navier-Stokes solved by end of 2027' market at 15.5% is a related but looser question. Given the near-deterministic procedural barrier, I price Yes well below the anchor at about 4%.
claude-opus-5-5 · high effort
80% conf
| Yes | 4% |
| No | 96% |
(0) Not met. The CMI Millennium Problems page and Wikipedia list Poincaré as the only solved problem and Navier-Stokes as 'Active'. CMI's single statement (Sept 11, 2026) said the problem 'apparently' was settled, but it contained no award language and called the process 'deliberately unhurried.'
(a) About 14.7 months remain until Jan 1, 2028.
(b) Status quo: no award, so No. CMI's rules require three things before a solution is even considered: publication in a qualifying outlet, at least two years since that publication, and general acceptance in the mathematics community. Even if OpenAI's September 2026 manuscript counted as published today, the two-year clock would not end until late 2028, which is past the deadline.
(c) NO scenario: refereeing, the Buckmaster/Alpöge priority dispute, and critiques such as the arXiv paper on gaps in the Lean formalization proceed at the usual pace. CMI keeps its rules, and no award comes before 2028. This is overwhelmingly likely.
(d) YES scenario: CMI waives or reinterprets its two-year rule for a Lean-verified AI proof and awards quickly. Alternatively, a second problem (e.g., Hodge) is solved and fast-tracked. Both are unprecedented, given one award in 26 years with a roughly 7-year lag.
There is also a market-rules wrinkle: OpenAI's blowup result is arguably a 'counterexample,' which these rules exclude unless specified.
The Kalshi price of 13.4% (bid 7) looks inflated by excitement over the OpenAI news. I fade it to about 3-4%, keeping some tail for a CMI rule change or adjudication quirks.
gpt-6-astra · high effort
79% conf
| Yes | 7% |
| No | 93% |
CMI's September 11, 2026 statement describes Navier–Stokes as apparently settled, not awarded, and its problems page lists only Poincaré as solved, so no qualifying award is documented. About 448 days remain until the rules' January 1, 2028 deadline; if nothing changes, No wins. I anchor on Kalshi's 13.4% Yes price (7% bid/14% ask), but lower Yes to 7% because two obstacles appear underweighted: CMI's publication waiting period and this contract's exclusion of counterexamples. CMI's published rules require two years after qualifying publication before consideration, so even a September 2026 qualifying publication would not become eligible until September 2028, and the research identified no qualifying publication for the current claim. The reported Navier–Stokes blowup result also carries substantial contract-ineligibility risk even if CMI validates it, meaning faster technical verification alone cannot establish Yes. In the central No scenario, scrutiny continues without an award through 2027, consistent with CMI's 'deliberately unhurried' posture and Perelman's roughly seven-year proof-to-award lag. Yes would require an older, already-eligible positive proof to gain acceptance and an official award before the deadline, or CMI to change its waiting rule and rapidly award a new qualifying positive proof. The remaining 7% allows for those exceptional routes and incomplete coverage of existing work; I discount unconfirmed Hodge rumors, the recent single-paper technical rebuttal, and the future-dated November review rather than treating them as decisive.
gpt-6-astra · high effort
79% conf
| Yes | 6% |
| No | 94% |
Kalshi's 13.4% YES price (7% bid/14% ask) is my anchor; I reduce it to 6% because the research identifies procedural and eligibility barriers that appear underweighted in that price. No qualifying award is documented: CMI's September 11 statement describes Navier–Stokes as apparently settled but its process as deliberately unhurried, while its problems page lists only Poincaré as solved. There are approximately 448 days until January 1, 2028, whereas CMI's published rules require two years after qualifying publication before consideration, putting even a September 2026 qualifying publication beyond the deadline—and none is documented. If nothing changes, No wins; the historical record of one award in 26 years, approximately seven to eight years after Perelman's preprints, reinforces the distinction between solving a problem and receiving an award. A concrete NO scenario is that the Navier–Stokes claim survives scrutiny but CMI awards nothing until 2028 or later; its blowup construction also faces this market's explicit exclusion of counterexamples. A YES scenario requires an older positive proof published in a qualifying outlet before 2026 to gain acceptance, or CMI to change its waiting requirement and officially award a prize for an eligible complete proof before the deadline. The YES report's accelerated-review argument cannot by itself overcome the two-year minimum, and speculative progress on another problem supplies no documented qualifying publication. I retain 6% for an overlooked older candidate, procedural changes, and incomplete source coverage, without relying on the recent technical rebuttal or the NO report's future-dated November item.
gpt-5.6-sol · high effort
88% conf
| Yes | 3% |
| No | 97% |
Resolution check: the condition has not been met; CMI still lists only Poincaré as solved, labels Navier–Stokes active, and its September 11 statement said only that the problem was apparently settled without announcing an award. About 14 months and 22 days remain until January 1, 2028. I anchor on Kalshi's 13.4% Yes price but move sharply lower because CMI requires a qualifying publication followed by at least two years of scrutiny and general acceptance, while no qualifying publication has been identified, so the normal procedural clock cannot finish before the deadline. Moreover, OpenAI's claimed finite-time blowup is a disproof/counterexample and therefore appears excluded by this market's positive-proof-only clause. The status quo is No because no award, accepted solution, or eligible second candidate currently exists. A No scenario is that CMI continues its deliberately unhurried review, the priority and verification disputes persist, and no eligible award is announced by the deadline. A Yes scenario would require CMI to identify an earlier qualifying publication whose two-year period can mature in time, unexpectedly accelerate or reinterpret its rules for a positive proof, or announce an award for another already-mature solution that current reporting has missed.
4. Final plain mean of 5 draws
5%
(81% confidence)
Yes: 5%
No: 95%
Mean of 5 draws (0.04, 0.04, 0.07, 0.06, 0.03). (0) The condition has not been met. CMI's Millennium Problems page still lists only Poincaré as solved and labels Navier-Stokes 'Active'. CMI's only statement, on 11 Sept 2026, called the problem 'apparently settled' and described its process as 'deliberately unhurried', with no award language. (a) About 14.7 months remain until the 1 Jan 2028 deadline. (b) The status quo is No. CMI's rules require publication in a qualifying refereed outlet, then at least two years, then general acceptance. No refereed publication of OpenAI's Navier-Stokes proof exists yet, so even a publication tomorrow would put the earliest eligible date around late 2028, after the deadline. (c) NO scenario: CMI follows its own rules and its Poincaré precedent (about 7-8 years from proof to award). Meanwhile the priority dispute (Buckmaster/Alpöge, Córdoba et al.), the arXiv critique of whether the Lean formalization matches the written proof, and the fact that OpenAI only covers the forced statements C/D all hold back 'general acceptance'. (d) YES scenario: CMI waives or reinterprets the two-year rule for a machine-verified proof, or a fast second AI result such as Hodge gets expedited treatment, and an award is announced in 2027. Nothing in the research suggests CMI is considering this. There is also a further risk to Yes: this market's rules exclude counterexamples and disproofs, and OpenAI's result is a blowup, which is a disproof of global smoothness. The Kalshi price of 13.4% (bid 7%) looks inflated by Navier-Stokes headline momentum. The Polymarket 'CMI declares Navier-Stokes solved by end of 2027' market at 15.5% is a related but looser question. Given the near-deterministic procedural barrier, I price Yes well below the anchor at about 4%.
Pipeline Timing
Total pipeline time: 150.8s
Per-tool research timings shown in the Research section above.