Recent Anthropic research with an unreleased Claude model produced the most immediate catalyst, combining prior results from mathematicians including Bombieri, Aryan, and Baluyot et al. to raise the verified lower bound on the proportion of Riemann zeta zeros satisfying the hypothesis from 41.6% to 67.2%, complete with expert validation and a formally checkable Lean proof. This AI-assisted refinement of existing analytic number theory techniques has sharpened trader focus on near-term incremental gains. Broader context includes sustained computational verification of trillions of zeros on the critical line, the de Bruijn–Newman constant at zero, and a February 2026 survey by Alain Connes, while full resolution remains distant amid the problem’s longstanding complexity. Key swing factors ahead include further large-language-model applications to zeta-function problems and any new analytic breakthroughs at upcoming number-theory conferences.
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___までにリーマン仮説のさらなる実質的な進展は？
___までにリーマン仮説のさらなる実質的な進展は？
新規
2026/10/31
2026年10月31日
12%
2026年12月31日
26%
$274 Vol.
2026年10月31日
$153 Vol.
12%
2026年12月31日
$121 Vol.
26%
This market will resolve to "Yes" if a qualifying mathematical result unconditionally establishes that at least 70% of the nontrivial zeros of the Riemann zeta function lie on the critical line, or establishes a stronger result, including a complete proof or disproof of the Riemann Hypothesis, by 11:59 PM ET on the specified date. Otherwise, this market will resolve to "No".
For the purposes of this market, "unconditionally" means that the qualifying result may not depend on assuming the Riemann Hypothesis or any other unproven conjecture necessary for the stated threshold to hold.
A result establishing any unconditional lower bound of 70% or greater will qualify. A result establishing a higher percentage, proving that 100% of the relevant zeros lie on the critical line, or otherwise completely proving or disproving the Riemann Hypothesis will also qualify.
Computational verification that additional individual zeros lie on the critical line will not qualify on its own, regardless of the number of zeros checked. Conditional results, heuristic arguments, claimed proofs without sufficient verification, partial results that do not meet the 70% threshold, or improvements that remain below 70% will not qualify.
A qualifying result does not need to have completed peer review or been formally published in an academic journal by the market deadline. A publicly released paper, preprint, technical report, or other publicly available mathematical work will qualify if the result is sufficiently substantiated by its accompanying proof and has received credible independent validation or acceptance from recognized experts in analytic number theory or the broader mathematical community. For example, the Anthropic result announced on August 10, 2026, which established an improved unconditional lower bound of approximately 67.25% on the proportion of Riemann zeta zeros on the critical line, would qualify under these criteria if it would meet the required 70% threshold.
The resolution source for this market will be a consensus of credible reporting.Recent Anthropic research with an unreleased Claude model produced the most immediate catalyst, combining prior results from mathematicians including Bombieri, Aryan, and Baluyot et al. to raise the verified lower bound on the proportion of Riemann zeta zeros satisfying the hypothesis from 41.6% to 67.2%, complete with expert validation and a formally checkable Lean proof. This AI-assisted refinement of existing analytic number theory techniques has sharpened trader focus on near-term incremental gains. Broader context includes sustained computational verification of trillions of zeros on the critical line, the de Bruijn–Newman constant at zero, and a February 2026 survey by Alain Connes, while full resolution remains distant amid the problem’s longstanding complexity. Key swing factors ahead include further large-language-model applications to zeta-function problems and any new analytic breakthroughs at upcoming number-theory conferences.
This market will resolve to "Yes" if a qualifying mathematical result unconditionally establishes that at least 70% of the nontrivial zeros of the Riemann zeta function lie on the critical line, or establishes a stronger result, including a complete proof or disproof of the Riemann Hypothesis, by 11:59 PM ET on the specified date. Otherwise, this market will resolve to "No".
For the purposes of this market, "unconditionally" means that the qualifying result may not depend on assuming the Riemann Hypothesis or any other unproven conjecture necessary for the stated threshold to hold.
A result establishing any unconditional lower bound of 70% or greater will qualify. A result establishing a higher percentage, proving that 100% of the relevant zeros lie on the critical line, or otherwise completely proving or disproving the Riemann Hypothesis will also qualify.
Computational verification that additional individual zeros lie on the critical line will not qualify on its own, regardless of the number of zeros checked. Conditional results, heuristic arguments, claimed proofs without sufficient verification, partial results that do not meet the 70% threshold, or improvements that remain below 70% will not qualify.
A qualifying result does not need to have completed peer review or been formally published in an academic journal by the market deadline. A publicly released paper, preprint, technical report, or other publicly available mathematical work will qualify if the result is sufficiently substantiated by its accompanying proof and has received credible independent validation or acceptance from recognized experts in analytic number theory or the broader mathematical community. For example, the Anthropic result announced on August 10, 2026, which established an improved unconditional lower bound of approximately 67.25% on the proportion of Riemann zeta zeros on the critical line, would qualify under these criteria if it would meet the required 70% threshold.
The resolution source for this market will be a consensus of credible reporting.
For the purposes of this market, "unconditionally" means that the qualifying result may not depend on assuming the Riemann Hypothesis or any other unproven conjecture necessary for the stated threshold to hold.
A result establishing any unconditional lower bound of 70% or greater will qualify. A result establishing a higher percentage, proving that 100% of the relevant zeros lie on the critical line, or otherwise completely proving or disproving the Riemann Hypothesis will also qualify.
Computational verification that additional individual zeros lie on the critical line will not qualify on its own, regardless of the number of zeros checked. Conditional results, heuristic arguments, claimed proofs without sufficient verification, partial results that do not meet the 70% threshold, or improvements that remain below 70% will not qualify.
A qualifying result does not need to have completed peer review or been formally published in an academic journal by the market deadline. A publicly released paper, preprint, technical report, or other publicly available mathematical work will qualify if the result is sufficiently substantiated by its accompanying proof and has received credible independent validation or acceptance from recognized experts in analytic number theory or the broader mathematical community. For example, the Anthropic result announced on August 10, 2026, which established an improved unconditional lower bound of approximately 67.25% on the proportion of Riemann zeta zeros on the critical line, would qualify under these criteria if it would meet the required 70% threshold.
The resolution source for this market will be a consensus of credible reporting.
マーケット開始日： Aug 13, 2026, 5:09 PM ET
音量
$274終了日
2026/12/31マーケット開始日
Aug 13, 2026, 5:09 PM ETResolver
0x65070BE91...This market will resolve to "Yes" if a qualifying mathematical result unconditionally establishes that at least 70% of the nontrivial zeros of the Riemann zeta function lie on the critical line, or establishes a stronger result, including a complete proof or disproof of the Riemann Hypothesis, by 11:59 PM ET on the specified date. Otherwise, this market will resolve to "No".
For the purposes of this market, "unconditionally" means that the qualifying result may not depend on assuming the Riemann Hypothesis or any other unproven conjecture necessary for the stated threshold to hold.
A result establishing any unconditional lower bound of 70% or greater will qualify. A result establishing a higher percentage, proving that 100% of the relevant zeros lie on the critical line, or otherwise completely proving or disproving the Riemann Hypothesis will also qualify.
Computational verification that additional individual zeros lie on the critical line will not qualify on its own, regardless of the number of zeros checked. Conditional results, heuristic arguments, claimed proofs without sufficient verification, partial results that do not meet the 70% threshold, or improvements that remain below 70% will not qualify.
A qualifying result does not need to have completed peer review or been formally published in an academic journal by the market deadline. A publicly released paper, preprint, technical report, or other publicly available mathematical work will qualify if the result is sufficiently substantiated by its accompanying proof and has received credible independent validation or acceptance from recognized experts in analytic number theory or the broader mathematical community. For example, the Anthropic result announced on August 10, 2026, which established an improved unconditional lower bound of approximately 67.25% on the proportion of Riemann zeta zeros on the critical line, would qualify under these criteria if it would meet the required 70% threshold.
The resolution source for this market will be a consensus of credible reporting.Recent Anthropic research with an unreleased Claude model produced the most immediate catalyst, combining prior results from mathematicians including Bombieri, Aryan, and Baluyot et al. to raise the verified lower bound on the proportion of Riemann zeta zeros satisfying the hypothesis from 41.6% to 67.2%, complete with expert validation and a formally checkable Lean proof. This AI-assisted refinement of existing analytic number theory techniques has sharpened trader focus on near-term incremental gains. Broader context includes sustained computational verification of trillions of zeros on the critical line, the de Bruijn–Newman constant at zero, and a February 2026 survey by Alain Connes, while full resolution remains distant amid the problem’s longstanding complexity. Key swing factors ahead include further large-language-model applications to zeta-function problems and any new analytic breakthroughs at upcoming number-theory conferences.
This market will resolve to "Yes" if a qualifying mathematical result unconditionally establishes that at least 70% of the nontrivial zeros of the Riemann zeta function lie on the critical line, or establishes a stronger result, including a complete proof or disproof of the Riemann Hypothesis, by 11:59 PM ET on the specified date. Otherwise, this market will resolve to "No".
For the purposes of this market, "unconditionally" means that the qualifying result may not depend on assuming the Riemann Hypothesis or any other unproven conjecture necessary for the stated threshold to hold.
A result establishing any unconditional lower bound of 70% or greater will qualify. A result establishing a higher percentage, proving that 100% of the relevant zeros lie on the critical line, or otherwise completely proving or disproving the Riemann Hypothesis will also qualify.
Computational verification that additional individual zeros lie on the critical line will not qualify on its own, regardless of the number of zeros checked. Conditional results, heuristic arguments, claimed proofs without sufficient verification, partial results that do not meet the 70% threshold, or improvements that remain below 70% will not qualify.
A qualifying result does not need to have completed peer review or been formally published in an academic journal by the market deadline. A publicly released paper, preprint, technical report, or other publicly available mathematical work will qualify if the result is sufficiently substantiated by its accompanying proof and has received credible independent validation or acceptance from recognized experts in analytic number theory or the broader mathematical community. For example, the Anthropic result announced on August 10, 2026, which established an improved unconditional lower bound of approximately 67.25% on the proportion of Riemann zeta zeros on the critical line, would qualify under these criteria if it would meet the required 70% threshold.
The resolution source for this market will be a consensus of credible reporting.
For the purposes of this market, "unconditionally" means that the qualifying result may not depend on assuming the Riemann Hypothesis or any other unproven conjecture necessary for the stated threshold to hold.
A result establishing any unconditional lower bound of 70% or greater will qualify. A result establishing a higher percentage, proving that 100% of the relevant zeros lie on the critical line, or otherwise completely proving or disproving the Riemann Hypothesis will also qualify.
Computational verification that additional individual zeros lie on the critical line will not qualify on its own, regardless of the number of zeros checked. Conditional results, heuristic arguments, claimed proofs without sufficient verification, partial results that do not meet the 70% threshold, or improvements that remain below 70% will not qualify.
A qualifying result does not need to have completed peer review or been formally published in an academic journal by the market deadline. A publicly released paper, preprint, technical report, or other publicly available mathematical work will qualify if the result is sufficiently substantiated by its accompanying proof and has received credible independent validation or acceptance from recognized experts in analytic number theory or the broader mathematical community. For example, the Anthropic result announced on August 10, 2026, which established an improved unconditional lower bound of approximately 67.25% on the proportion of Riemann zeta zeros on the critical line, would qualify under these criteria if it would meet the required 70% threshold.
The resolution source for this market will be a consensus of credible reporting.
音量
$274終了日
2026/12/31マーケット開始日
Aug 13, 2026, 5:09 PM ETResolver
0x65070BE91...Recent Anthropic research with an unreleased Claude model produced the most immediate catalyst, combining prior results from mathematicians including Bombieri, Aryan, and Baluyot et al. to raise the verified lower bound on the proportion of Riemann zeta zeros satisfying the hypothesis from 41.6% to 67.2%, complete with expert validation and a formally checkable Lean proof. This AI-assisted refinement of existing analytic number theory techniques has sharpened trader focus on near-term incremental gains. Broader context includes sustained computational verification of trillions of zeros on the critical line, the de Bruijn–Newman constant at zero, and a February 2026 survey by Alain Connes, while full resolution remains distant amid the problem’s longstanding complexity. Key swing factors ahead include further large-language-model applications to zeta-function problems and any new analytic breakthroughs at upcoming number-theory conferences.
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
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