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Will CMI declare a Millennium Prize Problem solved by December 31, 2026?
4%
Agent
20%
Market Price
-16.5%
Edge
83%
Confidence
20,304
Volume
5.0c
Spread
117
Days to resolution
3
Markets in event
final rationale
CMI's own rules impose a hard bottleneck: a Qualifying Outlet publication followed by a 2-year wait and general acceptance, meaning any declaration by end-2026 would require a candidate proof published by late 2024 — and the brief finds none for any of the six remaining problems, no active CMI evaluation, and no AI work beyond numerical singularity discovery. The Poincaré precedent (~8 years even for an uncontroversial proof) and the 1-in-25-years base rate reinforce a low probability. The 20.5% Polymarket price is thin ($20K), highly volatile, and likely AI-hype driven; with no Kalshi anchor, I discount it heavily but not entirely. The critique's points about a possible non-award 'declaration', resolution ambiguity, or an undisclosed clock-started proof justify keeping a few points of tail mass, so I land at 4% Yes, in line with both forecasters.
price vs. prediction
market price
agent forecast at t+0
43 follow-ups
1. Planner Fable 5.1 · Fermi decomposition + tool plan
Tools chosen:
polymarket_direct
polymarket_related
kalshi_related
claude_news
gdelt_news
wikipedia
code_execution
Sub-questions (Fermi decomposition)
- What is the current Polymarket YES price and how has it moved recently?
- Are there any currently published (2023–2024) proofs of a Millennium Prize Problem that the mathematical community broadly accepts and that would satisfy CMI's 2-year waiting period by end-2026?
- Has CMI made any recent official statements or website updates about evaluating a claimed solution to any of the six remaining problems?
- What is CMI's formal process and typical timeline from publication to award (Perelman: 2002–03 preprints, 2010 award), and does it ever 'declare solved' without awarding a prize?
- Are AI-driven efforts (e.g., DeepMind/Navier–Stokes, Riemann Hypothesis claims) at a stage where a rigorous, refereed proof could plausibly be accepted by CMI within the window?
- What do related Polymarket/Kalshi markets on Millennium Prize problems or AI math breakthroughs imply?
Planner reasoning
This is a low-base-rate event: CMI has awarded exactly one Millennium Prize (Poincaré, 2010) in 25 years, and its rules require a 2-year waiting period after publication plus committee review, meaning any qualifying declaration by end-2026 would need a proof already published by ~2024. The key uncertainties are whether any credible claimed proof (e.g., Navier–Stokes via AI/DeepMind efforts, Riemann claims) is currently under serious consideration, and whether CMI would deviate from its formal process to 'declare' a problem solved. The Polymarket price is the primary anchor; news search establishes whether any live candidate exists.
2. Research Parallel tool calls
| tool | status | time | items | summary |
|---|---|---|---|---|
| polymarket_direct | OK | 0.4s | 1 | ## This Market's Polymarket Data **Will CMI declare a Millennium Prize Problem solved by December 31, 2026?** - Current price (probability): 20.50% - 7-day price change: +16.00% - 30-day price change: +15.00% - Total volume: $20,304 (USD notional) - Price range: 4.50% - 44.00% - Data points: 43 day |
| polymarket_related | OK | 2.0s | 0 | Scanned 100 active Polymarket markets, kept 0 matches. keyword 'Millennium Prize': 0 markets | keyword 'Riemann Hypothesis': 0 markets | keyword 'Navier-Stokes': 0 markets | keyword 'P vs NP': 0 markets | keyword 'Clay Mathematics': 0 markets |
| kalshi_related | OK | 1.9s | 0 | 0 related markets / summaries. keyword 'Millennium Prize': no matches | keyword 'Riemann Hypothesis': no matches | keyword 'Navier-Stokes': no matches |
| claude_news | OK | 22.3s | 9 | ## Findings - **Current status (2026):** As of 2026, the only Millennium Prize problem to have been solved is the Poincaré conjecture. No new problem has been declared solved. (https://en.wikipedia.org/wiki/Millennium_Prize_Problems) - **CMI's formal rules (unchanged since 2018):** Before CMI w |
| gdelt_news | OK | 200.0s | 20 | GDELT: 20 articles across 4 queries (lookback=90d). 'Clay Mathematics Institute Millennium Prize': error GDELT rate-limited after retries (429) | 'Navier-Stokes proof': 10 hits | 'Riemann Hypothesis proof': error GDELT rate-limited after retries (429) | 'P versus NP proof': 10 hits |
| wikipedia | OK | 0.2s | 4 | Fetched 4 Wikipedia entries (0 missing pages). |
| code_execution | OK | 21.5s | 0 | ## Base-Rate Analysis: CMI Millennium Prize Declaration by Dec 31, 2026 **Historical hazard calibration:** - 6 problems remain unsolved (Poincaré resolved 2010); ~25 years of history (2000–2025) with exactly 1 CMI-declared solution → **1 declaration per ~150 problem-years** - Implied base annual ha |
3. Evidence Brief Sonnet 5 · 6690 chars
# Current state
No candidate solution to any of the six remaining Millennium Prize Problems has entered — let alone completed — CMI's mandatory 2-year post-publication verification window; as of early 2026 all six remain officially unsolved, and the only-ever solved problem (Poincaré) took 2002 (preprint) to 2010 (award) to resolve.
# Timeline of key events
- 2000-05-24: CMI designates the seven Millennium Prize Problems (confirmed, Wikipedia).
- 2002-2003: Perelman posts preprints proving the Poincaré conjecture (confirmed, historical record).
- 2010: CMI awards Perelman the Poincaré prize after ~7-8 years of community verification, following its 2-year rule (confirmed, ScienceNews/Wikipedia). Perelman declines the prize.
- 2018: CMI's current formal rules (Qualifying Outlet publication + 2-year wait + general acceptance) reaffirmed on claymath.org (confirmed).
- 2025 (year, undated): Google DeepMind + collaborators publish work discovering new families of unstable singularities in fluid equations relevant to Navier-Stokes; explicitly framed as a discovery/numerical tool, not a rigorous existence/smoothness proof (confirmed, DeepMind blog/Physics World).
- 2025-2026: Multiple fringe/self-published "solution" claims appear online (Navier-Stokes, others) via Substack, arXiv-style preprints, Academia.edu; none in refereed journals of repute, none have started CMI's clock (reported, claude_news).
- ~2025 (pre-2026): A Manifold market asking whether CMI would award a prize by start of 2026 resolves NO (confirmed, Manifold).
- 2026 (ongoing): Wikipedia states as of 2026 only Poincaré is solved; no new CMI declaration (confirmed).
- Current (as of research date): No CMI statement or website update indicating evaluation of any claimed solution (reported, claude_news — no evidence found).
# Event
Will CMI officially declare any of the six remaining Millennium Prize Problems solved (award or formal statement) by Dec 31, 2026?
# Outcomes to forecast
- Yes
- No
# Kalshi market anchor
No direct Kalshi price returned by kalshi_direct in this research pull; kalshi_related found zero related markets. Use Polymarket as closest available cross-market proxy (see below) — treat as secondary anchor only, not primary, since kalshi_direct data wasn't surfaced in this batch.
# Sub-question answers
1. **Polymarket YES price/trend** — Current 20.5%, up +16pts (7d) and +15pts (30d); range over 43 days has been 4.5%–44%, high volatility, low volume ($20.3K total) (Polymarket direct).
2. **Any 2023-24 accepted proofs satisfying 2-yr clock by end-2026?** — None found; no proof of any of the six remaining problems has entered CMI's Qualifying-Outlet + 2-year clock (claude_news, code_execution).
3. **Recent CMI official statements?** — No evidence of any CMI website update or communication evaluating a claimed solution (claude_news silent/negative).
4. **CMI process/timeline** — Requires (i) publication in a Qualifying Outlet, (ii) 2-year wait, (iii) general community acceptance; Poincaré took ~8 years (2002 preprint → 2010 award) even after being essentially non-controversial (claude_news, Wikipedia). No precedent for "declared solved" without eventual prize award; award and declaration are effectively coupled in practice, though the market's rules allow a declaration without an award.
5. **AI-driven proof status** — DeepMind's Navier-Stokes work is a numerical/discovery tool identifying unstable singularities, explicitly not a rigorous existence/smoothness proof; no AI system is at a refereed-proof stage for any of the six problems (DeepMind blog, Physics World).
6. **Related markets implications** — A Manifold market on CMI awarding by start-2026 resolved NO. No other Kalshi/Polymarket related markets found (0 matches each) (Manifold, polymarket_related, kalshi_related).
# Key facts (high-confidence, factual)
1. [Wikipedia] Only Poincaré conjecture solved (2010 award to Perelman, declined); six problems remain open as of 2026.
2. [claymath.org via claude_news] CMI requires Qualifying Outlet publication + 2-year wait + general acceptance before considering a solution.
3. [claude_news] No proof for any of the six remaining problems has entered this 2-year clock as of early 2026.
4. [DeepMind/Physics World] 2025 AI work on Navier-Stokes is progress on singularity discovery, not a completed proof.
5. [Manifold] A similarly-scoped market resolved NO for "by start of 2026."
# Cross-market signals
- Kalshi related: none found (kalshi_related: 0 matches).
- Polymarket: 20.5% YES, sharply up from recent lows (~4.5%) but still a minority view; low-volume, thin market ($20K) — susceptible to noise/manipulation, treat cautiously.
- Sportsbook implied: N/A (not applicable to this event type).
# Analyst opinions and speculation
- code_execution Poisson/base-rate model: ~3-6% probability given historical hazard rate (~1 solved/150 problem-years) plus binding 2-year pipeline constraint; AI-acceleration scenarios (2-3x hazard) would still only reach ~6-17%, and are discounted because no proof has started the clock.
- octagonai.co market commentary: explicitly states no problem has entered the verification pipeline, reinforcing low-probability view.
- claude_news synthesis: "no credible pathway" for a declaration by end-2026.
# Directional lean per outcome
- **Yes**: Supported only by rising Polymarket price momentum (thin volume, possibly speculative on AI hype) and nonzero tail risk from AI-driven proof discovery accelerating timelines. No structural/eligibility support given the 2-year clock hasn't started for any candidate.
- **No**: Strong support — CMI's own rules create a hard structural bottleneck (needs a Qualifying Outlet publication now, plus 2 years, by 2026); no known candidate proof is in this pipeline; historical base rate is very low (1 in 25 years); Perelman precedent shows even accepted proofs take many years; a directly comparable market already resolved NO for a nearer deadline.
# Gaps / unknowns
- No kalshi_direct price was returned in this research batch — critical anchor missing; should be re-fetched.
- Cannot verify whether any confidential/preprint proof already exists that started its clock in 2023-2024 without public visibility.
- No detail on whether CMI's Scientific Advisory Board is actively reviewing any submission.
# Calibration anchors
- Polymarket current YES price: 20.5% (up sharply recently, thin volume) — likely overstates true probability given structural constraints.
- Base-rate/Poisson model: ~3-6% central estimate.
- Precedent: comparable Manifold market (by start-2026) resolved NO.
- Historical realization rate: 1 declaration in ~25 years across 7 problems.
4. Forecasters Fable 5.1 + GPT-5.6 Sol · in parallel
claude-fable-5-1
78% conf
| Yes | 3% |
| No | 97% |
CMI's own rules require publication in a Qualifying Outlet followed by a 2-year waiting period plus general acceptance, so any declaration by end-2026 would require a proof already published by late 2024 — the brief finds no such candidate for any of the six remaining problems, and the Poincaré precedent took ~8 years even for a widely accepted proof. The 2025 DeepMind Navier-Stokes work is explicitly numerical singularity discovery, not a rigorous proof, and fringe online claims have not entered CMI's pipeline. No Kalshi price is available; the Polymarket proxy at 20.5% is thin ($20K volume), highly volatile, and likely reflects AI-hype speculation rather than any structural pathway, while a comparable Manifold market for 'by start of 2026' resolved NO. The base-rate/Poisson model (~3-6%) already looks generous given the binding 2-year clock, so I place Yes near 3%.
gpt-5.6-sol
88% conf
| Yes | 4% |
| No | 96% |
The secondary Polymarket anchor is 20.5% YES, but its low volume, extreme volatility, and lack of a direct Kalshi market make it a weak consensus signal. The absence of any candidate in CMI's Qualifying-Outlet and two-year verification pipeline points strongly to No, because no newly published proof can ordinarily complete the process by the deadline. CMI has announced no active evaluation, while the cited DeepMind work is exploratory rather than a rigorous proof. The roughly eight-year Poincaré timeline and 3–6% base-rate estimate further support moving substantially below the Polymarket price, leaving only a small chance of an unexpected eligible proof or exceptional formal declaration.
5. Devil's Advocate Sonnet 5 · red-team critique
1. Both forecasters converge tightly (3-4%) without explaining why they discount the Polymarket 20.5% signal so heavily rather than partially deferring to it as a market-based aggregation of information they might lack (e.g., private knowledge of a proof already circulating) — they treat it as pure noise despite it being the only live market-based estimate available.
2. Neither forecast explicitly addresses the "declaration without award" possibility the brief flags: "the market's rules allow a declaration without an award," which could be a faster/lower-bar pathway than the Perelman-style full award process — this could push probability slightly higher than the base rate suggests since the resolution criteria may not require the full 2-year+acceptance cycle CMI historically used.
3. Both rely on the ~3-6% Poisson base rate as a soft ceiling, but the brief notes AI-acceleration scenarios could reach "6-17%" — this upper tail is mentioned in the brief but essentially ignored by both forecasters in their point estimates, understating tail-scenario uncertainty from a sudden high-profile AI-assisted proof (e.g., DeepMind-adjacent groups) triggering an expedited or informal declaration.
4. Neither forecaster flags the gap noted in the brief: "Cannot verify whether any confidential/preprint proof already exists that started its clock in 2023-2024 without public visibility" — this is a legitimate unknown-unknown that could make the 2-year clock already satisfied for an undisclosed candidate, which neither incorporates as a distinct risk factor.
5. Both forecasts lack sensitivity to the missing Kalshi price itself — since kalshi_direct returned nothing, they should flag more explicitly that their probabilities are not calibrated against any actual Kalshi market consensus, only a proxy, yet both present high confidence (0.78, 0.88) as if this gap were immaterial.
6. Neither critique addresses potential resolution ambiguity — CMI could make a symbolic/partial statement (e.g., "this proof appears highly likely correct, pending final confirmation") that resolvers might interpret as a "declaration" even without a formal prize award, which could raise the Yes probability slightly above pure structural/timeline analysis suggests.
6. Aggregator Fable 5.1 · final calibrated forecast
4%
(83% confidence)
Yes: 4%
No: 96%
CMI's own rules impose a hard bottleneck: a Qualifying Outlet publication followed by a 2-year wait and general acceptance, meaning any declaration by end-2026 would require a candidate proof published by late 2024 — and the brief finds none for any of the six remaining problems, no active CMI evaluation, and no AI work beyond numerical singularity discovery. The Poincaré precedent (~8 years even for an uncontroversial proof) and the 1-in-25-years base rate reinforce a low probability. The 20.5% Polymarket price is thin ($20K), highly volatile, and likely AI-hype driven; with no Kalshi anchor, I discount it heavily but not entirely. The critique's points about a possible non-award 'declaration', resolution ambiguity, or an undisclosed clock-started proof justify keeping a few points of tail mass, so I land at 4% Yes, in line with both forecasters.
Pipeline Timing
Total pipeline time: 286.1s
Per-tool research timings shown in the Research section above.