Recent AI-assisted research has driven fresh momentum around the Riemann Hypothesis. In August 2026, an unreleased version of Anthropic’s Claude model helped establish that at least two-thirds of the nontrivial zeros of the Riemann zeta function are simple and lie on the critical line—an unconditional improvement from the prior record of roughly 41–60 percent—while also raising the share of distinct zeros. Complementary work published in July linked the hypothesis to observable dynamical phase transitions in engineered quantum systems, verified experimentally on a quantum processor and simulated out to the trillionth zero. These developments highlight growing use of large language models and quantum hardware to generate and verify new analytic number theory results, though no full proof has emerged. Traders will watch for further unconditional bounds, major conferences, or additional AI-driven papers that could shift resolution odds before any stated deadline.
Experimental AI-generated summary referencing Polymarket data. This is not trading advice and plays no role in how this market resolves. · UpdatedFurther substantive progress on the Riemann Hypothesis by ___?
Further substantive progress on the Riemann Hypothesis by ___?
NEW
Dec 31, 2026
October 31, 2026
8%
December 31, 2026
9%
$3,616 Vol.
October 31, 2026
$651 Vol.
8%
December 31, 2026
$2,965 Vol.
9%
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 AI-assisted research has driven fresh momentum around the Riemann Hypothesis. In August 2026, an unreleased version of Anthropic’s Claude model helped establish that at least two-thirds of the nontrivial zeros of the Riemann zeta function are simple and lie on the critical line—an unconditional improvement from the prior record of roughly 41–60 percent—while also raising the share of distinct zeros. Complementary work published in July linked the hypothesis to observable dynamical phase transitions in engineered quantum systems, verified experimentally on a quantum processor and simulated out to the trillionth zero. These developments highlight growing use of large language models and quantum hardware to generate and verify new analytic number theory results, though no full proof has emerged. Traders will watch for further unconditional bounds, major conferences, or additional AI-driven papers that could shift resolution odds before any stated deadline.
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.
Market Opened: Aug 13, 2026, 5:09 PM ET
Volume
$3,616End Date
Jan 1, 2027Market Opened
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 AI-assisted research has driven fresh momentum around the Riemann Hypothesis. In August 2026, an unreleased version of Anthropic’s Claude model helped establish that at least two-thirds of the nontrivial zeros of the Riemann zeta function are simple and lie on the critical line—an unconditional improvement from the prior record of roughly 41–60 percent—while also raising the share of distinct zeros. Complementary work published in July linked the hypothesis to observable dynamical phase transitions in engineered quantum systems, verified experimentally on a quantum processor and simulated out to the trillionth zero. These developments highlight growing use of large language models and quantum hardware to generate and verify new analytic number theory results, though no full proof has emerged. Traders will watch for further unconditional bounds, major conferences, or additional AI-driven papers that could shift resolution odds before any stated deadline.
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.
Volume
$3,616End Date
Jan 1, 2027Market Opened
Aug 13, 2026, 5:09 PM ETResolver
0x65070BE91...Recent AI-assisted research has driven fresh momentum around the Riemann Hypothesis. In August 2026, an unreleased version of Anthropic’s Claude model helped establish that at least two-thirds of the nontrivial zeros of the Riemann zeta function are simple and lie on the critical line—an unconditional improvement from the prior record of roughly 41–60 percent—while also raising the share of distinct zeros. Complementary work published in July linked the hypothesis to observable dynamical phase transitions in engineered quantum systems, verified experimentally on a quantum processor and simulated out to the trillionth zero. These developments highlight growing use of large language models and quantum hardware to generate and verify new analytic number theory results, though no full proof has emerged. Traders will watch for further unconditional bounds, major conferences, or additional AI-driven papers that could shift resolution odds before any stated deadline.
Experimental AI-generated summary referencing Polymarket data. This is not trading advice and plays no role in how this market resolves. · Updated
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