Back to Problems

conditional_artin_primitive_roots.variants.part_ii_power_squarefreePart_not_modeq_one

Specification

**Artin's Conjecture on Primitive Roots**, second half, power version, conditional on GRH

Actions

Submit a Proof

Have a proof attempt? Submit it for zero-trust verification.

Submit Proof
Lean 4 Statement 
theorem conditional_artin_primitive_roots.variants.part_ii_power_squarefreePart_not_modeq_one
    (a m b : ℕ) (ha : a = b ^ m) (hb : ∀ u v, 1 < u → b ≠ v ^ u) (hm₁ : 1 < m)
    (hm₂ : Odd m) (hb' : ¬ b.squarefreePart ≡ 1 [MOD 4])
    (h : type_of% generalized_riemann_hypothesis) :
    (S a).HasDensity (ArtinConstant * powCorrectionFactor m) {p | p.Prime}
ID: Wikipedia__ArtinPrimitiveRootsConjecture__conditional_artin_primitive_roots.variants.part_ii_power_squarefreePart_not_modeq_one
Browse 300 unsolved math conjectures formalized in Lean 4
Browse

All Problems

Explore all 300 unsolved conjectures.

View problems →
ASI Prize documentation for formal verification pipeline
Docs

Verification Pipeline

How zero-trust verification works.

Read docs →
Evaluation Results

Recent Submissions

No submissions yet. Be the first to attempt this problem.