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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 ___?

NOWE
Oct 31, 2026
Polymarket

$7,856 Wol.

Polymarket

October 31, 2026

$2,336 Wol.

12%

December 31, 2026

$5,520 Wol.

25%

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-driven advances have shaped trader views on further Riemann Hypothesis progress, with Anthropic's unreleased Claude model delivering the largest single improvement in decades by raising the verified lower bound on nontrivial zeta zeros lying on the critical line from 41.6% to approximately 67.2% in August 2026. Independent mathematicians verified the result, which was formalized in Lean, though it falls short of the market's 70% threshold for resolution. A July 2026 Nature Communications paper linked the hypothesis to dynamical quantum phase transitions observed on a five-qubit processor, while OpenAI has directed internal models toward the problem alongside other Millennium Prize questions. Analysts note persistent barriers in arithmetic geometry and positivity, with no full proof imminent despite accelerating computational and agent-based approaches ahead of year-end catalysts.

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.
Wolumen
$7,856
Data zakończenia
Jan 1, 2027
Rynek otwarty
Aug 13, 2026, 5:09 PM ET

Rozstrzygający

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-driven advances have shaped trader views on further Riemann Hypothesis progress, with Anthropic's unreleased Claude model delivering the largest single improvement in decades by raising the verified lower bound on nontrivial zeta zeros lying on the critical line from 41.6% to approximately 67.2% in August 2026. Independent mathematicians verified the result, which was formalized in Lean, though it falls short of the market's 70% threshold for resolution. A July 2026 Nature Communications paper linked the hypothesis to dynamical quantum phase transitions observed on a five-qubit processor, while OpenAI has directed internal models toward the problem alongside other Millennium Prize questions. Analysts note persistent barriers in arithmetic geometry and positivity, with no full proof imminent despite accelerating computational and agent-based approaches ahead of year-end catalysts.

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.
Wolumen
$7,856
Data zakończenia
Jan 1, 2027
Rynek otwarty
Aug 13, 2026, 5:09 PM ET

Rozstrzygający

0x65070BE91...

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Często zadawane pytania

"Further substantive progress on the Riemann Hypothesis by ___?" to rynek prognoz na Polymarket z 2 możliwymi wynikami, gdzie traderzy kupują i sprzedają udziały na podstawie tego, co ich zdaniem się wydarzy. Obecny wiodący wynik to "December 31, 2026" z 25%, za nim "October 31, 2026" z 12%. Ceny odzwierciedlają zbiorowe prawdopodobieństwa w czasie rzeczywistym. Na przykład udział wyceniony na 25¢ implikuje, że rynek zbiorowo przypisuje 25% szansy na ten wynik. Te kursy zmieniają się ciągle, gdy traderzy reagują na nowe informacje. Udziały w poprawnym wyniku można wymienić na $1 za sztukę po rozstrzygnięciu rynku.

"Further substantive progress on the Riemann Hypothesis by ___?" to nowo utworzony rynek na Polymarket, uruchomiony Aug 13, 2026. Jako wczesny rynek, to Twoja okazja, aby być jednym z pierwszych traderów, którzy ustalą kursy i określą początkowe sygnały cenowe rynku. Możesz też dodać tę stronę do zakładek, aby śledzić wolumen i aktywność handlową w miarę rozwoju rynku.

Aby handlować na "Further substantive progress on the Riemann Hypothesis by ___?", przeglądaj 2 dostępnych wyników na tej stronie. Każdy wynik wyświetla bieżącą cenę reprezentującą implikowane prawdopodobieństwo rynku. Aby zająć pozycję, wybierz wynik, który uważasz za najbardziej prawdopodobny, wybierz "Tak", aby handlować na jego korzyść, lub "Nie", aby handlować przeciw niemu, wpisz kwotę i kliknij "Handluj". Jeśli wybrany wynik okaże się poprawny, Twoje udziały "Tak" wypłacą $1 za sztukę. Jeśli jest niepoprawny, wypłacą $0. Możesz też sprzedać swoje udziały w dowolnym momencie przed rozstrzygnięciem.

Obecnym faworytem dla "Further substantive progress on the Riemann Hypothesis by ___?" jest "December 31, 2026" z 25%, co oznacza, że rynek przypisuje 25% szansy na ten wynik. Następny najbliższy wynik to "October 31, 2026" z 12%. Te kursy aktualizują się w czasie rzeczywistym, gdy traderzy kupują i sprzedają udziały, odzwierciedlając najnowszy zbiorowy pogląd na to, co jest najbardziej prawdopodobne. Sprawdzaj regularnie lub dodaj tę stronę do zakładek, aby śledzić zmiany kursów.

Zasady rozstrzygania "Further substantive progress on the Riemann Hypothesis by ___?" określają dokładnie, co musi się wydarzyć, aby każdy wynik został ogłoszony zwycięzcą — w tym oficjalne źródła danych używane do ustalenia wyniku. Możesz przejrzeć pełne kryteria rozstrzygania w sekcji "Zasady" na tej stronie nad komentarzami. Zalecamy dokładne zapoznanie się z zasadami przed handlem, ponieważ określają one precyzyjne warunki, przypadki graniczne i źródła regulujące rozstrzyganie tego rynku.