Back to Problems

erdos_913.variants.conditional

Specification

If there are infinitely many primes $p$ such that $8p^2 - 1$ is prime, then this is true.

Actions

Submit a Proof

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

Submit Proof
Lean 4 Statement 
theorem erdos_913.variants.conditional (h : { p | p.Prime ∧ (8 * p ^ 2 - 1).Prime }.Infinite) :
    { n | Set.InjOn (n * (n + 1)).factorization (n * (n + 1)).primeFactors }.Infinite
ID: ErdosProblems__913__erdos_913.variants.conditional
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.