Recent announcements from OpenAI and mathematicians Tristan Buckmaster and Levent Alpöge have sharply shifted focus to the Navier-Stokes existence and smoothness problem, one of the Clay Mathematics Institute’s Millennium Prize challenges. On September 8, 2026, OpenAI released a claimed proof—generated by thousands of internal AI agents and verified in Lean—showing finite-time singularity formation under smooth initial conditions with bounded energy, directly addressing the problem’s core question of whether solutions can break down. Concurrent work by Buckmaster and Alpöge advanced related Euler and Boussinesq cases using large language models but stopped short of the full three-dimensional incompressible Navier-Stokes equations. CMI has not yet issued any statement, and its established process demands extended peer scrutiny and community consensus before declaring a solution, a timeline that historically spans years rather than days. Traders are weighing the strength of the formalization and potential counterexamples against CMI’s deliberate pace and the possibility of further refinements or disputes emerging in the coming weeks.
Polymarketデータを参照したAI生成の実験的な要約。これは取引アドバイスではなく、このマーケットの解決方法には一切関係ありません。 · 更新日新規
2026/12/31
2026年12月31日
7%
2027年12月31日
15%
2028年12月31日
44%
$6,288 Vol.
2026年12月31日
$3,987 Vol.
7%
2027年12月31日
$880 Vol.
15%
2028年12月31日
$1,421 Vol.
44%
This market will resolve to "Yes" if the Clay Mathematics Institute (CMI) awards a Millennium Prize for the Navier-Stokes existence and smoothness problem, or otherwise officially declares the Navier-Stokes existence and smoothness problem solved on its website or in an official communication, by 11:59 PM ET of the listed date. Otherwise, this market will resolve to "No".
A Millennium Prize award will qualify as an official declaration, but is not required; an official CMI statement that the Navier-Stokes existence and smoothness problem has been solved is sufficient on its own. Whether the solution was produced in whole or in part by artificial intelligence, and whether any recipient accepts or declines a prize, will not be considered.
A published or publicly posted proof will not qualify on its own, regardless of its acceptance by the mathematical community.
The primary resolution source will be official information from the Clay Mathematics Institute (e.g., https://www.claymath.org); however, a consensus of credible reporting may be used to confirm that a qualifying CMI declaration or award has occurred.Recent announcements from OpenAI and mathematicians Tristan Buckmaster and Levent Alpöge have sharply shifted focus to the Navier-Stokes existence and smoothness problem, one of the Clay Mathematics Institute’s Millennium Prize challenges. On September 8, 2026, OpenAI released a claimed proof—generated by thousands of internal AI agents and verified in Lean—showing finite-time singularity formation under smooth initial conditions with bounded energy, directly addressing the problem’s core question of whether solutions can break down. Concurrent work by Buckmaster and Alpöge advanced related Euler and Boussinesq cases using large language models but stopped short of the full three-dimensional incompressible Navier-Stokes equations. CMI has not yet issued any statement, and its established process demands extended peer scrutiny and community consensus before declaring a solution, a timeline that historically spans years rather than days. Traders are weighing the strength of the formalization and potential counterexamples against CMI’s deliberate pace and the possibility of further refinements or disputes emerging in the coming weeks.
This market will resolve to "Yes" if the Clay Mathematics Institute (CMI) awards a Millennium Prize for the Navier-Stokes existence and smoothness problem, or otherwise officially declares the Navier-Stokes existence and smoothness problem solved on its website or in an official communication, by 11:59 PM ET of the listed date. Otherwise, this market will resolve to "No".
A Millennium Prize award will qualify as an official declaration, but is not required; an official CMI statement that the Navier-Stokes existence and smoothness problem has been solved is sufficient on its own. Whether the solution was produced in whole or in part by artificial intelligence, and whether any recipient accepts or declines a prize, will not be considered.
A published or publicly posted proof will not qualify on its own, regardless of its acceptance by the mathematical community.
The primary resolution source will be official information from the Clay Mathematics Institute (e.g., https://www.claymath.org); however, a consensus of credible reporting may be used to confirm that a qualifying CMI declaration or award has occurred.
A Millennium Prize award will qualify as an official declaration, but is not required; an official CMI statement that the Navier-Stokes existence and smoothness problem has been solved is sufficient on its own. Whether the solution was produced in whole or in part by artificial intelligence, and whether any recipient accepts or declines a prize, will not be considered.
A published or publicly posted proof will not qualify on its own, regardless of its acceptance by the mathematical community.
The primary resolution source will be official information from the Clay Mathematics Institute (e.g., https://www.claymath.org); however, a consensus of credible reporting may be used to confirm that a qualifying CMI declaration or award has occurred.
マーケット開始日： Sep 9, 2026, 12:21 PM ET
音量
$6,288終了日
2029/01/01マーケット開始日
Sep 9, 2026, 12:21 PM ETリゾルバー
0x65070BE91...This market will resolve to "Yes" if the Clay Mathematics Institute (CMI) awards a Millennium Prize for the Navier-Stokes existence and smoothness problem, or otherwise officially declares the Navier-Stokes existence and smoothness problem solved on its website or in an official communication, by 11:59 PM ET of the listed date. Otherwise, this market will resolve to "No".
A Millennium Prize award will qualify as an official declaration, but is not required; an official CMI statement that the Navier-Stokes existence and smoothness problem has been solved is sufficient on its own. Whether the solution was produced in whole or in part by artificial intelligence, and whether any recipient accepts or declines a prize, will not be considered.
A published or publicly posted proof will not qualify on its own, regardless of its acceptance by the mathematical community.
The primary resolution source will be official information from the Clay Mathematics Institute (e.g., https://www.claymath.org); however, a consensus of credible reporting may be used to confirm that a qualifying CMI declaration or award has occurred.Recent announcements from OpenAI and mathematicians Tristan Buckmaster and Levent Alpöge have sharply shifted focus to the Navier-Stokes existence and smoothness problem, one of the Clay Mathematics Institute’s Millennium Prize challenges. On September 8, 2026, OpenAI released a claimed proof—generated by thousands of internal AI agents and verified in Lean—showing finite-time singularity formation under smooth initial conditions with bounded energy, directly addressing the problem’s core question of whether solutions can break down. Concurrent work by Buckmaster and Alpöge advanced related Euler and Boussinesq cases using large language models but stopped short of the full three-dimensional incompressible Navier-Stokes equations. CMI has not yet issued any statement, and its established process demands extended peer scrutiny and community consensus before declaring a solution, a timeline that historically spans years rather than days. Traders are weighing the strength of the formalization and potential counterexamples against CMI’s deliberate pace and the possibility of further refinements or disputes emerging in the coming weeks.
This market will resolve to "Yes" if the Clay Mathematics Institute (CMI) awards a Millennium Prize for the Navier-Stokes existence and smoothness problem, or otherwise officially declares the Navier-Stokes existence and smoothness problem solved on its website or in an official communication, by 11:59 PM ET of the listed date. Otherwise, this market will resolve to "No".
A Millennium Prize award will qualify as an official declaration, but is not required; an official CMI statement that the Navier-Stokes existence and smoothness problem has been solved is sufficient on its own. Whether the solution was produced in whole or in part by artificial intelligence, and whether any recipient accepts or declines a prize, will not be considered.
A published or publicly posted proof will not qualify on its own, regardless of its acceptance by the mathematical community.
The primary resolution source will be official information from the Clay Mathematics Institute (e.g., https://www.claymath.org); however, a consensus of credible reporting may be used to confirm that a qualifying CMI declaration or award has occurred.
A Millennium Prize award will qualify as an official declaration, but is not required; an official CMI statement that the Navier-Stokes existence and smoothness problem has been solved is sufficient on its own. Whether the solution was produced in whole or in part by artificial intelligence, and whether any recipient accepts or declines a prize, will not be considered.
A published or publicly posted proof will not qualify on its own, regardless of its acceptance by the mathematical community.
The primary resolution source will be official information from the Clay Mathematics Institute (e.g., https://www.claymath.org); however, a consensus of credible reporting may be used to confirm that a qualifying CMI declaration or award has occurred.
音量
$6,288終了日
2029/01/01マーケット開始日
Sep 9, 2026, 12:21 PM ETリゾルバー
0x65070BE91...Recent announcements from OpenAI and mathematicians Tristan Buckmaster and Levent Alpöge have sharply shifted focus to the Navier-Stokes existence and smoothness problem, one of the Clay Mathematics Institute’s Millennium Prize challenges. On September 8, 2026, OpenAI released a claimed proof—generated by thousands of internal AI agents and verified in Lean—showing finite-time singularity formation under smooth initial conditions with bounded energy, directly addressing the problem’s core question of whether solutions can break down. Concurrent work by Buckmaster and Alpöge advanced related Euler and Boussinesq cases using large language models but stopped short of the full three-dimensional incompressible Navier-Stokes equations. CMI has not yet issued any statement, and its established process demands extended peer scrutiny and community consensus before declaring a solution, a timeline that historically spans years rather than days. Traders are weighing the strength of the formalization and potential counterexamples against CMI’s deliberate pace and the possibility of further refinements or disputes emerging in the coming weeks.
Polymarketデータを参照したAI生成の実験的な要約。これは取引アドバイスではなく、このマーケットの解決方法には一切関係ありません。 · 更新日
外部リンクに注意してください。
外部リンクに注意してください。
よくある質問