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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 ___?

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Oct 31, 2026
Polymarket

$0.00 ปริมาณ

Polymarket

October 31, 2026

$0 ปริมาณ

51%

December 31, 2026

$0 ปริมาณ

49%

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.An unreleased Anthropic Claude model recently combined prior results from mathematicians including Baluyot, Goldston, and Bombieri to raise the proven lower bound on the share of non-trivial Riemann zeta zeros lying on the critical line from 41.6% to 67.2%, marking the most concrete advance in months. This incremental improvement, verified through established analytic number theory techniques rather than a novel proof, has reinforced trader views that large language models can accelerate progress on long-standing problems without resolving the full hypothesis. No peer-reviewed full proof or counterexample has emerged in 2026, and computational checks continue to confirm the conjecture for trillions of zeros. Key catalysts ahead include further AI model releases, math conferences, and any formal peer review or extension of the Anthropic bound, which could shift implied probabilities on timelines for substantive milestones.

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.
ปริมาณการซื้อขาย
$0
วันสิ้นสุด
Dec 31, 2026
ตลาดเปิดเมื่อ
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.An unreleased Anthropic Claude model recently combined prior results from mathematicians including Baluyot, Goldston, and Bombieri to raise the proven lower bound on the share of non-trivial Riemann zeta zeros lying on the critical line from 41.6% to 67.2%, marking the most concrete advance in months. This incremental improvement, verified through established analytic number theory techniques rather than a novel proof, has reinforced trader views that large language models can accelerate progress on long-standing problems without resolving the full hypothesis. No peer-reviewed full proof or counterexample has emerged in 2026, and computational checks continue to confirm the conjecture for trillions of zeros. Key catalysts ahead include further AI model releases, math conferences, and any formal peer review or extension of the Anthropic bound, which could shift implied probabilities on timelines for substantive milestones.

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.
ปริมาณการซื้อขาย
$0
วันสิ้นสุด
Dec 31, 2026
ตลาดเปิดเมื่อ
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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"Further substantive progress on the Riemann Hypothesis by ___?" เป็นตลาดทำนายผลบน Polymarket ที่มี 2 ผลลัพธ์ที่เป็นไปได้ โดยนักเทรดซื้อและขายหุ้นตามสิ่งที่เชื่อว่าจะเกิดขึ้น ผลลัพธ์ที่นำอยู่ในปัจจุบันคือ "October 31, 2026" ที่ 51% ตามด้วย "December 31, 2026" ที่ 49% ราคาสะท้อนความน่าจะเป็นจากฝูงชนแบบเรียลไทม์ ตัวอย่างเช่น หุ้นที่มีราคา 51¢ หมายความว่าตลาดให้โอกาส 51% กับผลลัพธ์นั้น อัตราเหล่านี้เปลี่ยนแปลงตลอดเวลาตามที่นักเทรดตอบสนองต่อข้อมูลและพัฒนาการใหม่ หุ้นในผลลัพธ์ที่ถูกต้องสามารถแลกได้ $1 ต่อหุ้นเมื่อตลาดตัดสินผล

"Further substantive progress on the Riemann Hypothesis by ___?" เป็นตลาดที่เพิ่งสร้างใหม่บน Polymarket เปิดเมื่อ Aug 13, 2026 ในฐานะตลาดใหม่ นี่คือโอกาสของคุณที่จะเป็นหนึ่งในนักเทรดกลุ่มแรกที่ตั้งอัตราและสร้างสัญญาณราคาเริ่มต้น คุณยังสามารถบุ๊กมาร์กหน้านี้เพื่อติดตามปริมาณและกิจกรรมการซื้อขายเมื่อตลาดเริ่มคึกคัก

ในการเทรด "Further substantive progress on the Riemann Hypothesis by ___?" ดู 2 ผลลัพธ์ที่มีในหน้านี้ แต่ละผลลัพธ์แสดงราคาปัจจุบันที่เป็นตัวแทนความน่าจะเป็นโดยนัยของตลาด เลือกผลลัพธ์ที่คุณเชื่อว่ามีโอกาสสูงสุด เลือก "Yes" เพื่อเทรดสนับสนุนหรือ "No" เพื่อเทรดคัดค้าน ใส่จำนวนเงินแล้วกด "Trade" ถ้าผลลัพธ์ที่คุณเลือกถูกต้องเมื่อตลาดตัดสินผล หุ้น "Yes" ของคุณจ่าย $1 ต่อหุ้น ถ้าไม่ถูกต้อง จ่าย $0 คุณยังสามารถขายหุ้นได้ตลอดเวลาก่อนการตัดสินผลหากต้องการล็อกกำไรหรือตัดขาดทุน

ตัวเต็งปัจจุบันสำหรับ "Further substantive progress on the Riemann Hypothesis by ___?" คือ "October 31, 2026" ที่ 51% ซึ่งหมายความว่าตลาดให้โอกาส 51% กับผลลัพธ์นั้น ผลลัพธ์ที่ตามมาคือ "December 31, 2026" ที่ 49% อัตราเหล่านี้อัปเดตแบบเรียลไทม์ตามที่นักเทรดซื้อและขายหุ้น จึงสะท้อนมุมมองรวมล่าสุดว่าอะไรมีโอกาสเกิดขึ้นมากที่สุด กลับมาดูบ่อยๆ หรือบุ๊กมาร์กหน้านี้เพื่อติดตามว่าอัตราเปลี่ยนไปอย่างไรเมื่อมีข้อมูลใหม่

กฎการตัดสินผลของ "Further substantive progress on the Riemann Hypothesis by ___?" กำหนดอย่างชัดเจนว่าต้องเกิดอะไรขึ้นเพื่อให้แต่ละผลลัพธ์ถูกประกาศเป็นผู้ชนะ รวมถึงแหล่งข้อมูลอย่างเป็นทางการที่ใช้ตัดสินผล คุณสามารถตรวจสอบเกณฑ์การตัดสินผลทั้งหมดได้ในส่วน "กฎ" บนหน้านี้เหนือความคิดเห็น เราแนะนำให้อ่านกฎอย่างละเอียดก่อนเทรด เพราะกฎระบุเงื่อนไขเฉพาะ กรณีพิเศษ และแหล่งข้อมูลที่ควบคุมการตัดสินตลาดนี้