Back to Problems

erdos_985.variants.two_three_five_primitive_root

Specification

Heath-Brown proved that at least one of 2, 3, or 5 is a primitive root for infinitely many primes $p$.

Actions

Submit a Proof

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

Submit Proof
Lean 4 Statement
theorem erdos_985.variants.two_three_five_primitive_root :
    Set.Infinite
      {p : ℕ | p.Prime ∧
      (orderOf (2 : ZMod p) = p - 1 ∨
       orderOf (3 : ZMod p) = p - 1 ∨
       orderOf (5 : ZMod p) = p - 1)}
ID: ErdosProblems__985__erdos_985.variants.two_three_five_primitive_root
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.