Skip to main content
icon for Further substantive progress on the Riemann Hypothesis by ___?

Further substantive progress on the Riemann Hypothesis by ___?

icon for Further substantive progress on the Riemann Hypothesis by ___?

Further substantive progress on the Riemann Hypothesis by ___?

BAGO
Oct 31, 2026
Polymarket

$20 Vol.

Polymarket

October 31, 2026

$0 Vol.

52%

December 31, 2026

$20 Vol.

28%

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 main catalyst, combining prior number-theory results to raise the proven lower bound on non-trivial zeros of the Riemann zeta function lying on the critical line from 41.6% to 67.2%, with a formally verifiable Lean proof and expert validation. This AI-assisted advance, announced in mid-August 2026, represents measurable progress on a core partial result without resolving the full hypothesis. Traders weigh its legitimacy against historical incremental bounds, ongoing computational verifications exceeding 10^12 zeros, and competing claims such as arXiv surveys or independent preprints that lack comparable rigor. Upcoming factors include further AI scaling experiments, major number-theory conferences, and any peer-reviewed follow-ups that could shift consensus on what counts as substantive advancement.

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.
Volume
$20
Petsa ng Pagtatapos
Dec 31, 2026
Binuksan ang Market
Aug 13, 2026, 5:09 PM ET

Resolver

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.
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 main catalyst, combining prior number-theory results to raise the proven lower bound on non-trivial zeros of the Riemann zeta function lying on the critical line from 41.6% to 67.2%, with a formally verifiable Lean proof and expert validation. This AI-assisted advance, announced in mid-August 2026, represents measurable progress on a core partial result without resolving the full hypothesis. Traders weigh its legitimacy against historical incremental bounds, ongoing computational verifications exceeding 10^12 zeros, and competing claims such as arXiv surveys or independent preprints that lack comparable rigor. Upcoming factors include further AI scaling experiments, major number-theory conferences, and any peer-reviewed follow-ups that could shift consensus on what counts as substantive advancement.

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.
Volume
$20
Petsa ng Pagtatapos
Dec 31, 2026
Binuksan ang Market
Aug 13, 2026, 5:09 PM ET

Resolver

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.

Kaugnay

icon for Will CMI declare a Millennium Prize Problem solved by December 31, 2028?

Will CMI declare a Millennium Prize Problem solved by December 31, 2028?

35%
icon for Will OpenAI’s Astra model debut with a Humanity’s Last Exam score of 40% or higher?

Will OpenAI’s Astra model debut with a Humanity’s Last Exam score of 40% or higher?

87%
icon for Will NVIDIA (NVDA) Q2 Data Center revenue be above $80B?

Will NVIDIA (NVDA) Q2 Data Center revenue be above $80B?

95%

Mag-ingat sa mga external link.

Mga Madalas na Tanong

Ang "Further substantive progress on the Riemann Hypothesis by ___?" ay isang prediction market sa Polymarket na may 2 posibleng outcomes kung saan bumibili at nagbebenta ang mga trader ng shares batay sa kanilang pinaniniwalaan na mangyayari. Ang kasalukuyang nangunguna ay "October 31, 2026" sa 52%, sinusundan ng "December 31, 2026" sa 28%. Ang mga presyo ay sumasalamin sa real-time crowd-sourced probabilities. Halimbawa, ang isang share na naka-presyo sa 52¢ ay nagpapahiwatig na kolektibong itinatakda ng market ang 52% na tsansa sa outcome na iyon. Patuloy na nagbabago ang mga odds na ito habang tumutugon ang mga trader sa mga bagong development at impormasyon. Ang mga shares sa tamang outcome ay mare-redeem sa $1 bawat isa sa market resolution.

Ang "Further substantive progress on the Riemann Hypothesis by ___?" ay isang bagong likhang market sa Polymarket, inilunsad noong Aug 13, 2026. Bilang isang maagang market, ito ang iyong pagkakataon na maging kabilang sa mga unang trader na magtakda ng odds at mag-establish ng mga paunang price signal ng market. Maaari mo ring i-bookmark ang pahinang ito para subaybayan ang volume at trading activity habang lumalaki ang market sa paglipas ng panahon.

Para mag-trade sa "Further substantive progress on the Riemann Hypothesis by ___?," i-browse ang 2 available na outcomes na nakalista sa pahinang ito. Ang bawat outcome ay may kasalukuyang presyo na kumakatawan sa implied probability ng market. Para kumuha ng posisyon, piliin ang outcome na pinaniniwalaan mong pinaka-malamang, piliin ang "Yes" para mag-trade pabor dito o "No" para mag-trade laban dito, ilagay ang iyong halaga, at i-click ang "Trade." Kung tama ang iyong napiling outcome kapag na-resolve ang market, nagbabayad ang iyong "Yes" shares ng $1 bawat isa. Kung mali, nagbabayad ang mga ito ng $0. Maaari ka ring magbenta ng iyong shares anumang oras bago ang resolution kung gusto mong i-lock in ang kita o bawasan ang pagkalugi.

Ang kasalukuyang frontrunner para sa "Further substantive progress on the Riemann Hypothesis by ___?" ay "October 31, 2026" sa 52%, ibig sabihin itinatakda ng market ang 52% na tsansa sa outcome na iyon. Ang sumunod na pinaka-malapit na outcome ay "December 31, 2026" sa 28%. Nag-a-update ang mga odds na ito sa real-time habang bumibili at nagbebenta ang mga trader ng shares, kaya sinasalamin nila ang pinakabagong kolektibong view kung ano ang pinaka-malamang na mangyari. Bumalik nang madalas o i-bookmark ang pahinang ito para sundan kung paano nagbabago ang odds habang lumilitaw ang bagong impormasyon.

Ang mga resolution rules para sa "Further substantive progress on the Riemann Hypothesis by ___?" ay tiyak na nagde-define kung ano ang kailangang mangyari para sa bawat outcome na maideklara bilang panalo — kasama ang mga opisyal na data source na ginagamit para matukoy ang resulta. Maaari mong i-review ang kumpletong resolution criteria sa "Rules" section sa pahinang ito sa itaas ng mga komento. Inirerekomenda namin na basahin nang mabuti ang mga patakaran bago mag-trade, dahil tinutukoy nila ang mga tiyak na kondisyon, edge cases, at mga source na namamahala kung paano nise-settle ang market na ito.