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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 ___?

নতুন
Oct 31, 2026
Polymarket

$274 Vol.

Polymarket

October 31, 2026

$153 Vol.

12%

December 31, 2026

$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.
ভলিউম
$274
শেষ তারিখ
Dec 31, 2026
মার্কেট ওপেন হয়েছে
Aug 13, 2026, 5:09 PM ET
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 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.
ভলিউম
$274
শেষ তারিখ
Dec 31, 2026
মার্কেট ওপেন হয়েছে
Aug 13, 2026, 5:09 PM ET
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.

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সচরাচর জিজ্ঞাসা

"Further substantive progress on the Riemann Hypothesis by ___?" হলো Polymarket-এ 2 সম্ভাব্য ফলাফলসহ একটি প্রেডিকশন মার্কেট যেখানে ট্রেডাররা কী ঘটবে বলে বিশ্বাস করে তার ভিত্তিতে শেয়ার কেনাবেচা করে। বর্তমান শীর্ষ ফলাফল "December 31, 2026" 26%-এ, তারপর "October 31, 2026" 12%-এ। দাম রিয়েল-টাইম ক্রাউড-সোর্সড সম্ভাবনা প্রতিফলিত করে। মার্কেট রেজোলিউশনে সঠিক ফলাফলের শেয়ার প্রতিটি $1-এ রিডিমযোগ্য।

"Further substantive progress on the Riemann Hypothesis by ___?" Polymarket-এ একটি নতুন তৈরি মার্কেট, Aug 13, 2026-এ লঞ্চ হয়েছে। একটি নতুন মার্কেট হিসেবে, এটি প্রথম ট্রেডারদের মধ্যে একজন হয়ে অডস সেট করার ও মার্কেটের প্রাথমিক মূল্য সংকেত প্রতিষ্ঠা করার সুযোগ। সময়ের সাথে মার্কেট গতি পেলে ভলিউম ও ট্রেডিং অ্যাক্টিভিটি ট্র্যাক করতে এই পেজ বুকমার্ক করতে পারেন।

"Further substantive progress on the Riemann Hypothesis by ___?"-এ ট্রেড করতে, এই পেজে তালিকাভুক্ত 2 উপলব্ধ ফলাফল ব্রাউজ করুন। প্রতিটি ফলাফল মার্কেটের ইম্প্লায়েড প্রবাবিলিটি প্রতিনিধিত্ব করে একটি বর্তমান দাম দেখায়। পজিশন নিতে, আপনি যে ফলাফলকে সবচেয়ে সম্ভাবনাময় মনে করেন সেটি নির্বাচন করুন, এর পক্ষে "Yes" বা বিপক্ষে "No" বেছে নিন, আপনার পরিমাণ লিখুন এবং "Trade" ক্লিক করুন। মার্কেট রেজলভ হলে আপনার নির্বাচিত ফলাফল সঠিক হলে, আপনার "Yes" শেয়ার প্রতিটি $1 দেয়। ভুল হলে, $0 দেয়।

"Further substantive progress on the Riemann Hypothesis by ___?"-এর বর্তমান ফ্রন্টরানার "December 31, 2026" 26%-এ, মানে মার্কেট সেই ফলাফলে 26% সম্ভাবনা নির্ধারণ করে। পরবর্তী নিকটতম ফলাফল "October 31, 2026" 12%-এ। এই অডস রিয়েল-টাইমে আপডেট হয়।

"Further substantive progress on the Riemann Hypothesis by ___?"-এর রেজোলিউশন নিয়ম সঠিকভাবে সংজ্ঞায়িত করে প্রতিটি ফলাফলকে বিজয়ী ঘোষণা করতে কী ঘটতে হবে — ফলাফল নির্ধারণে ব্যবহৃত অফিসিয়াল ডেটা সোর্স সহ। আপনি এই পেজের মন্তব্যের উপরে "Rules" সেকশনে সম্পূর্ণ রেজোলিউশন মানদণ্ড রিভিউ করতে পারেন।