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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 ___?

BARU
Oct 31, 2026
Polymarket

$274 Vol.

Polymarket

October 31, 2026

$153 Vol.

28%

December 31, 2026

$121 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 has driven trader sentiment by combining prior mathematical results to raise the proven lower bound on Riemann zeta function zeros satisfying the hypothesis from 41.6% to 67.2%, marking measurable substantive progress short of a full proof. This AI-assisted advance, validated by mathematicians and formally checkable in Lean, highlights how large language models are accelerating analytic number theory through synthesis of existing theorems rather than novel breakthroughs. Competitive dynamics among AI labs amplify expectations, as further model scaling or targeted training could yield additional incremental results ahead of key deadlines. Traders should monitor upcoming AI releases and expert reviews, noting that full resolution remains distant while partial advances continue to shift implied probabilities.

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
$274
Tanggal Berakhir
Dec 31, 2026
Pasar Dibuka
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 has driven trader sentiment by combining prior mathematical results to raise the proven lower bound on Riemann zeta function zeros satisfying the hypothesis from 41.6% to 67.2%, marking measurable substantive progress short of a full proof. This AI-assisted advance, validated by mathematicians and formally checkable in Lean, highlights how large language models are accelerating analytic number theory through synthesis of existing theorems rather than novel breakthroughs. Competitive dynamics among AI labs amplify expectations, as further model scaling or targeted training could yield additional incremental results ahead of key deadlines. Traders should monitor upcoming AI releases and expert reviews, noting that full resolution remains distant while partial advances continue to shift implied probabilities.

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
$274
Tanggal Berakhir
Dec 31, 2026
Pasar Dibuka
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.

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Pertanyaan yang Sering Diajukan

"Further substantive progress on the Riemann Hypothesis by ___?" adalah pasar prediksi di Polymarket dengan 2 hasil yang mungkin di mana trader membeli dan menjual saham berdasarkan apa yang mereka yakini akan terjadi. Hasil terdepan saat ini adalah "October 31, 2026" di 28%, diikuti oleh "December 31, 2026" di 28%. Harga mencerminkan probabilitas crowd-sourced real-time. Misalnya, saham yang dihargai 28¢ menyiratkan bahwa pasar secara kolektif memberikan peluang 28% pada hasil tersebut. Peluang ini bergeser terus-menerus saat trader bereaksi terhadap perkembangan dan informasi baru. Saham dengan hasil yang benar bisa ditukarkan seharga $1 setiap saham saat pasar diselesaikan.

"Further substantive progress on the Riemann Hypothesis by ___?" adalah pasar yang baru dibuat di Polymarket, diluncurkan pada Aug 13, 2026. Sebagai pasar awal, ini adalah kesempatanmu untuk menjadi salah satu trader pertama yang menetapkan peluang dan membangun sinyal harga awal pasar. Kamu juga bisa menandai halaman ini untuk melacak volume dan aktivitas trading seiring pasar mendapatkan traksi.

Untuk trading di "Further substantive progress on the Riemann Hypothesis by ___?," jelajahi 2 hasil yang tersedia di halaman ini. Setiap hasil menampilkan harga saat ini yang mewakili probabilitas tersirat pasar. Untuk mengambil posisi, pilih hasil yang menurutmu paling mungkin, pilih "Ya" untuk mendukungnya atau "Tidak" untuk menentangnya, masukkan jumlahmu, dan klik "Trade." Jika hasil pilihanmu benar saat pasar diselesaikan, saham "Ya" kamu membayar $1 masing-masing. Jika salah, mereka membayar $0. Kamu juga bisa menjual sahammu kapan saja sebelum resolusi jika kamu ingin mengamankan keuntungan atau memotong kerugian.

Unggulan saat ini untuk "Further substantive progress on the Riemann Hypothesis by ___?" adalah "October 31, 2026" di 28%, yang berarti pasar memberikan peluang 28% pada hasil tersebut. Hasil terdekat berikutnya adalah "December 31, 2026" di 28%. Peluang ini diperbarui secara real-time saat trader membeli dan menjual saham, sehingga mencerminkan pandangan kolektif terbaru tentang apa yang paling mungkin terjadi. Cek kembali secara rutin atau tandai halaman ini untuk mengikuti bagaimana peluang bergeser saat informasi baru muncul.

Aturan resolusi untuk "Further substantive progress on the Riemann Hypothesis by ___?" mendefinisikan dengan tepat apa yang harus terjadi agar setiap hasil dinyatakan sebagai pemenang — termasuk sumber data resmi yang digunakan untuk menentukan hasilnya. Kamu bisa meninjau kriteria resolusi lengkap di bagian "Aturan" di halaman ini di atas komentar. Kami menyarankan membaca aturan dengan cermat sebelum trading, karena mereka menentukan kondisi tepat, kasus khusus, dan sumber yang mengatur bagaimana pasar ini diselesaikan.