Conjecture Fieldbook

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Artin's conjecture on primitive roots

Source placement record

Artin's conjecture on primitive roots that if an integer is neither a perfect square nor − 1 {\displaystyle -1} {\displaystyle -1}, then it is a primitive root modulo infinitely many prime numbers p {\displaystyle p} {\displaystyle p}

Review boundary: This page preserves a row from the revision-pinned source index. It is not a reviewed canonical dossier and does not independently verify or strengthen the cited claim.

Source status
Open
Field
Number theory · Prime numbers
Record type
Revision-pinned source placement
Verification
Source-index reviewed
Source grade
secondary
Reviewed
2026-07-27T18:04:33.834Z

Context and review boundary

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Formal boundary

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Known approaches and partial results

Pending review. No structured approach or partial-result note has been added to this source placement.

Source trail

  1. Wikipedia list subsection — Exact Number theory › Prime numbers subsection in the revision-pinned source.
  2. Wikipedia topic article — Background article linked by the source index; follow its references for deeper study.
  3. Pinned source revision 1366281547 — Revision-pinned snapshot from 7/27/2026.