Number theory · Analysis MSC2020 11M26

conjecture

Riemann hypothesis

OpenGeneral case unresolved

The full conjecture is reported open by Clay; partial results have not been curated in this pilot.

Source report · observed Oct 1, 2026

Source-linked discoveryspecialist backgroundChecked Oct 1, 2026Publication v2

Viewing pinned publication v2. View the current publication →

Question & scope

Do all nontrivial zeros of the Riemann zeta function have real part 1/2?

The classical zeta function over the complex numbers; consult the official description for the precise analytic formulation.

Question paraphrased by OpenMath. Use the cited source and locator for authoritative wording.

Research state

OpenGeneral case unresolved

The full conjecture is reported open by Clay; partial results have not been curated in this pilot.

Still unresolved: The general statement remains unresolved according to the cited source. Partial-result coverage is not assessed here.

Source report · observed Oct 1, 2026 · Clay · Millennium Problems

This is a discovery entry. OpenMath has checked the linked source and attribution; it has not independently assessed the present mathematical status.

Source label: Unsolved

Source status date unavailable · Observed Oct 1, 2026

The cited source item and version only; this is not an independent OpenMath assessment.

Literature & sources

Provenance & coverage

Published after staff preview and source checks. This page covers the cited items; it does not represent a complete list of problems or a literature-wide review.

  • No exhaustive literature or source-list coverage.
  • Independent mathematical assessment has not been performed.

Clay · Millennium Problems ↗

Clay Mathematics Institute · metadata-link · Not established; links and OpenMath paraphrases only

Store metadata and original OpenMath paraphrases; follow the original source for authoritative wording. Rights / source terms

1 cited entry · exact source identity
Version
clay-millennium@observed-2026-10-01
Revision
observed-2026-10-01
Content SHA-256
No upstream byte snapshot retained; linked metadata only
Source update
Unavailable
Observed
2026-10-01
Check cadence
30 days
Publication v2 · history & checksums
Stable Problem ID
problem-riemann-hypothesis
Publication SHA-256
8f62347b8334cf04a95551e98e902b8e9ccc27e326aa4943abce970b7ad68fa3
Published
2026-10-10T06:01:24.836584+00:00
Publication reason
Add cited resolution scope and consolidate equivalent prime formulations and supporting Claims; mathematical evidence and execution review remain distinct.
  1. v1 · publish · Sep 30, 2026

    Initial checked pilot publication; source attribution, rights, wording and coverage reviewed by OpenMath staff.

  2. v2 · publish · Oct 10, 2026

    Add cited resolution scope and consolidate equivalent prime formulations and supporting Claims; mathematical evidence and execution review remain distinct.

  3. v3 · publish · Oct 10, 2026

    Publish checked pilot curation with canonical Claims and scoped progress; preserve exact source revisions, assumptions, coverage limits and historical publications. External artifacts and OpenMath execution remain distinct.

  4. v4 · publish · Oct 10, 2026

    Publish checked pilot curation with canonical Claims and scoped progress; preserve exact source revisions, assumptions, coverage limits and historical publications. External artifacts and OpenMath execution remain distinct.

  5. v5 · publish · Oct 10, 2026

    Publish checked pilot curation with canonical Claims and scoped progress; preserve exact source revisions, assumptions, coverage limits and historical publications. External artifacts and OpenMath execution remain distinct.

  6. v6 · publish · Oct 11, 2026

    Publish checked pilot curation with canonical Claims and scoped progress; preserve exact source revisions, assumptions, coverage limits and historical publications. External artifacts and OpenMath execution remain distinct.

  7. v7 · publish · Oct 11, 2026

    Publish checked pilot curation with canonical Claims and scoped progress; preserve exact source revisions, assumptions, coverage limits and historical publications. External artifacts and OpenMath execution remain distinct.

  8. v8 · publish · Oct 11, 2026

    Publish checked pilot curation with canonical Claims and scoped progress; preserve exact source revisions, assumptions, coverage limits and historical publications. External artifacts and OpenMath execution remain distinct.

  9. v9 · publish · Oct 12, 2026

    Reviewed reader correction: preserve assertion history, exact citations and scoped assessments; task evidence names its exact Claim target.

  10. v10 · publish · Oct 13, 2026

    Reviewed reader correction: preserve assertion history, exact citations and scoped assessments; task evidence names its exact Claim target.

  11. v11 · publish · Oct 13, 2026

    Reviewed reader correction: preserve assertion history, exact citations and scoped assessments; task evidence names its exact Claim target.

  12. v12 · publish · Oct 14, 2026

    Reviewed reader correction: preserve assertion history, exact citations and scoped assessments; task evidence names its exact Claim target.

  13. v13 · publish · Oct 15, 2026

    Reviewed reader correction: preserve assertion history, exact citations and scoped assessments; task evidence names its exact Claim target.